id sid tid token lemma pos cana-5501 1 1 communications communication NOUN cana-5501 1 2 on on ADP cana-5501 1 3 applied apply VERB cana-5501 1 4 nonlinear nonlinear ADJ cana-5501 1 5 analysis analysis NOUN cana-5501 1 6 issn issn NOUN cana-5501 1 7 : : PUNCT cana-5501 1 8 1074 1074 NUM cana-5501 1 9 - - PUNCT cana-5501 1 10 133x 133x NUM cana-5501 1 11 vol vol VERB cana-5501 1 12 32 32 NUM cana-5501 1 13 no no NOUN cana-5501 1 14 . . PUNCT cana-5501 2 1 10s 10 NOUN cana-5501 2 2 ( ( PUNCT cana-5501 2 3 2025 2025 NUM cana-5501 2 4 ) ) PUNCT cana-5501 2 5 2515 2515 NUM cana-5501 2 6 https://internationalpubls.com https://internationalpubls.com X cana-5501 2 7 analytical analytical ADJ cana-5501 2 8 study study NOUN cana-5501 2 9 of of ADP cana-5501 2 10 perfect perfect ADJ cana-5501 2 11 insulation insulation NOUN cana-5501 2 12 in in ADP cana-5501 2 13 a a DET cana-5501 2 14 vertical vertical ADJ cana-5501 2 15 wall wall NOUN cana-5501 2 16 based base VERB cana-5501 2 17 on on ADP cana-5501 2 18 internal internal ADJ cana-5501 2 19 energy energy NOUN cana-5501 2 20 generation generation NOUN cana-5501 2 21 murteza murteza PROPN cana-5501 2 22 sanjaranipour1 sanjaranipour1 PROPN cana-5501 2 23 , , PUNCT cana-5501 2 24 faramarz faramarz PROPN cana-5501 2 25 sarhaddi2 sarhaddi2 PROPN cana-5501 2 26 * * PROPN cana-5501 2 27 1 1 NUM cana-5501 2 28 faculty faculty NOUN cana-5501 2 29 of of ADP cana-5501 2 30 mathematics mathematic NOUN cana-5501 2 31 , , PUNCT cana-5501 2 32 university university NOUN cana-5501 2 33 of of ADP cana-5501 2 34 sistan sistan PROPN cana-5501 2 35 and and CCONJ cana-5501 2 36 baluchestan baluchestan PROPN cana-5501 2 37 , , PUNCT cana-5501 2 38 zahedan zahedan PROPN cana-5501 2 39 , , PUNCT cana-5501 2 40 iran iran PROPN cana-5501 2 41 2department 2department NUM cana-5501 2 42 of of ADP cana-5501 2 43 mechanical mechanical ADJ cana-5501 2 44 engineering engineering NOUN cana-5501 2 45 , , PUNCT cana-5501 2 46 university university NOUN cana-5501 2 47 of of ADP cana-5501 2 48 sistan sistan PROPN cana-5501 2 49 and and CCONJ cana-5501 2 50 baluchestan baluchestan PROPN cana-5501 2 51 , , PUNCT cana-5501 2 52 zahedan zahedan PROPN cana-5501 2 53 , , PUNCT cana-5501 2 54 iran iran PROPN cana-5501 2 55 . . PUNCT cana-5501 3 1 ο€ͺ ο€ͺ PROPN cana-5501 3 2 corresponding correspond VERB cana-5501 3 3 author author NOUN cana-5501 3 4 article article NOUN cana-5501 3 5 history history NOUN cana-5501 3 6 : : PUNCT cana-5501 3 7 received receive VERB cana-5501 3 8 : : PUNCT cana-5501 3 9 22 22 NUM cana-5501 3 10 - - SYM cana-5501 3 11 01 01 NUM cana-5501 3 12 - - PUNCT cana-5501 3 13 2025 2025 NUM cana-5501 3 14 revised revise VERB cana-5501 3 15 : : PUNCT cana-5501 3 16 15 15 NUM cana-5501 3 17 - - NUM cana-5501 3 18 02 02 NUM cana-5501 3 19 - - PUNCT cana-5501 3 20 2025 2025 NUM cana-5501 3 21 accepted accept VERB cana-5501 3 22 : : PUNCT cana-5501 3 23 21 21 NUM cana-5501 3 24 - - SYM cana-5501 3 25 03 03 NUM cana-5501 3 26 - - PUNCT cana-5501 3 27 2025 2025 NUM cana-5501 3 28 abstract abstract NOUN cana-5501 3 29 : : PUNCT cana-5501 3 30 in in ADP cana-5501 3 31 this this DET cana-5501 3 32 paper paper NOUN cana-5501 3 33 , , PUNCT cana-5501 3 34 the the DET cana-5501 3 35 creation creation NOUN cana-5501 3 36 of of ADP cana-5501 3 37 perfect perfect ADJ cana-5501 3 38 insulation insulation NOUN cana-5501 3 39 in in ADP cana-5501 3 40 a a DET cana-5501 3 41 vertical vertical ADJ cana-5501 3 42 wall wall NOUN cana-5501 3 43 using use VERB cana-5501 3 44 internal internal ADJ cana-5501 3 45 energy energy NOUN cana-5501 3 46 generation generation NOUN cana-5501 3 47 has have AUX cana-5501 3 48 analyzed analyze VERB cana-5501 3 49 . . PUNCT cana-5501 4 1 the the DET cana-5501 4 2 heat heat NOUN cana-5501 4 3 conduction conduction NOUN cana-5501 4 4 fourier fourier NOUN cana-5501 4 5 law law NOUN cana-5501 4 6 has have AUX cana-5501 4 7 solved solve VERB cana-5501 4 8 analytically analytically ADV cana-5501 4 9 in in ADP cana-5501 4 10 the the DET cana-5501 4 11 presence presence NOUN cana-5501 4 12 of of ADP cana-5501 4 13 internal internal ADJ cana-5501 4 14 energy energy NOUN cana-5501 4 15 generation generation NOUN cana-5501 4 16 . . PUNCT cana-5501 5 1 two two NUM cana-5501 5 2 types type NOUN cana-5501 5 3 of of ADP cana-5501 5 4 internal internal ADJ cana-5501 5 5 energy energy NOUN cana-5501 5 6 generation generation NOUN cana-5501 5 7 ( ( PUNCT cana-5501 5 8 uniform uniform NOUN cana-5501 5 9 and and CCONJ cana-5501 5 10 linear linear ADJ cana-5501 5 11 ) ) PUNCT cana-5501 5 12 have have AUX cana-5501 5 13 considered consider VERB cana-5501 5 14 . . PUNCT cana-5501 6 1 solving solve VERB cana-5501 6 2 the the DET cana-5501 6 3 problem problem NOUN cana-5501 6 4 , , PUNCT cana-5501 6 5 the the DET cana-5501 6 6 desired desire VERB cana-5501 6 7 value value NOUN cana-5501 6 8 of of ADP cana-5501 6 9 internal internal ADJ cana-5501 6 10 energy energy NOUN cana-5501 6 11 generation generation NOUN cana-5501 6 12 to to PART cana-5501 6 13 create create VERB cana-5501 6 14 perfect perfect ADJ cana-5501 6 15 insulation insulation NOUN cana-5501 6 16 has have AUX cana-5501 6 17 obtained obtain VERB cana-5501 6 18 . . PUNCT cana-5501 7 1 the the DET cana-5501 7 2 analytical analytical ADJ cana-5501 7 3 solution solution NOUN cana-5501 7 4 of of ADP cana-5501 7 5 present present ADJ cana-5501 7 6 study study NOUN cana-5501 7 7 is be AUX cana-5501 7 8 in in ADP cana-5501 7 9 good good ADJ cana-5501 7 10 agreement agreement NOUN cana-5501 7 11 with with ADP cana-5501 7 12 the the DET cana-5501 7 13 solution solution NOUN cana-5501 7 14 of of ADP cana-5501 7 15 previous previous ADJ cana-5501 7 16 researches research NOUN cana-5501 7 17 . . PUNCT cana-5501 8 1 the the DET cana-5501 8 2 results result NOUN cana-5501 8 3 showed show VERB cana-5501 8 4 that that SCONJ cana-5501 8 5 linear linear PROPN cana-5501 8 6 internal internal ADJ cana-5501 8 7 energy energy NOUN cana-5501 8 8 generation generation NOUN cana-5501 8 9 is be AUX cana-5501 8 10 better well ADJ cana-5501 8 11 for for ADP cana-5501 8 12 creating create VERB cana-5501 8 13 perfect perfect ADJ cana-5501 8 14 insulation insulation NOUN cana-5501 8 15 because because SCONJ cana-5501 8 16 the the DET cana-5501 8 17 wall wall NOUN cana-5501 8 18 temperature temperature NOUN cana-5501 8 19 is be AUX cana-5501 8 20 lower low ADJ cana-5501 8 21 and and CCONJ cana-5501 8 22 the the DET cana-5501 8 23 cost cost NOUN cana-5501 8 24 of of ADP cana-5501 8 25 creating create VERB cana-5501 8 26 internal internal ADJ cana-5501 8 27 energy energy NOUN cana-5501 8 28 generation generation NOUN cana-5501 8 29 is be AUX cana-5501 8 30 lower low ADJ cana-5501 8 31 . . PUNCT cana-5501 9 1 the the DET cana-5501 9 2 research research NOUN cana-5501 9 3 results result NOUN cana-5501 9 4 provide provide VERB cana-5501 9 5 a a DET cana-5501 9 6 general general ADJ cana-5501 9 7 theoretical theoretical ADJ cana-5501 9 8 framework framework NOUN cana-5501 9 9 for for ADP cana-5501 9 10 achieving achieve VERB cana-5501 9 11 basic basic ADJ cana-5501 9 12 knowledge knowledge NOUN cana-5501 9 13 for for ADP cana-5501 9 14 creating create VERB cana-5501 9 15 perfect perfect ADJ cana-5501 9 16 insulation insulation NOUN cana-5501 9 17 . . PUNCT cana-5501 10 1 keywords keyword NOUN cana-5501 10 2 : : PUNCT cana-5501 10 3 perfect perfect ADJ cana-5501 10 4 insulation insulation NOUN cana-5501 10 5 ; ; PUNCT cana-5501 10 6 internal internal ADJ cana-5501 10 7 energy energy NOUN cana-5501 10 8 generation generation NOUN cana-5501 10 9 ; ; PUNCT cana-5501 10 10 analytical analytical ADJ cana-5501 10 11 study study NOUN cana-5501 10 12 introduction introduction NOUN cana-5501 10 13 nowadays nowadays ADV cana-5501 10 14 , , PUNCT cana-5501 10 15 the the DET cana-5501 10 16 issue issue NOUN cana-5501 10 17 of of ADP cana-5501 10 18 insulation insulation NOUN cana-5501 10 19 has have AUX cana-5501 10 20 become become VERB cana-5501 10 21 a a DET cana-5501 10 22 major major ADJ cana-5501 10 23 challenge challenge NOUN cana-5501 10 24 in in ADP cana-5501 10 25 various various ADJ cana-5501 10 26 industries industry NOUN cana-5501 10 27 and and CCONJ cana-5501 10 28 applications application NOUN cana-5501 10 29 . . PUNCT cana-5501 11 1 in in ADP cana-5501 11 2 conventional conventional ADJ cana-5501 11 3 insulation insulation NOUN cana-5501 11 4 , , PUNCT cana-5501 11 5 it it PRON cana-5501 11 6 is be AUX cana-5501 11 7 trying try VERB cana-5501 11 8 to to PART cana-5501 11 9 minimize minimize VERB cana-5501 11 10 heat heat NOUN cana-5501 11 11 loss loss NOUN cana-5501 11 12 . . PUNCT cana-5501 12 1 however however ADV cana-5501 12 2 , , PUNCT cana-5501 12 3 there there PRON cana-5501 12 4 is be VERB cana-5501 12 5 always always ADV cana-5501 12 6 some some DET cana-5501 12 7 heat heat NOUN cana-5501 12 8 loss loss NOUN cana-5501 12 9 . . PUNCT cana-5501 13 1 in in ADP cana-5501 13 2 some some DET cana-5501 13 3 specific specific ADJ cana-5501 13 4 applications application NOUN cana-5501 13 5 , , PUNCT cana-5501 13 6 the the DET cana-5501 13 7 perfect perfect ADJ cana-5501 13 8 insulation insulation NOUN cana-5501 13 9 ( ( PUNCT cana-5501 13 10 zero zero NUM cana-5501 13 11 heat heat NOUN cana-5501 13 12 loss loss NOUN cana-5501 13 13 ) ) PUNCT cana-5501 13 14 is be AUX cana-5501 13 15 needed need VERB cana-5501 13 16 . . PUNCT cana-5501 14 1 the the DET cana-5501 14 2 engineering engineering NOUN cana-5501 14 3 sciences science NOUN cana-5501 14 4 can can AUX cana-5501 14 5 definitely definitely ADV cana-5501 14 6 have have VERB cana-5501 14 7 the the DET cana-5501 14 8 scientific scientific ADJ cana-5501 14 9 answer answer NOUN cana-5501 14 10 for for ADP cana-5501 14 11 it it PRON cana-5501 14 12 . . PUNCT cana-5501 15 1 perfect perfect ADJ cana-5501 15 2 thermal thermal ADJ cana-5501 15 3 insulation insulation NOUN cana-5501 15 4 refers refer VERB cana-5501 15 5 to to ADP cana-5501 15 6 a a DET cana-5501 15 7 system system NOUN cana-5501 15 8 that that PRON cana-5501 15 9 completely completely ADV cana-5501 15 10 prevents prevent VERB cana-5501 15 11 heat heat NOUN cana-5501 15 12 transfer transfer NOUN cana-5501 15 13 between between ADP cana-5501 15 14 two two NUM cana-5501 15 15 areas area NOUN cana-5501 15 16 . . PUNCT cana-5501 16 1 in in ADP cana-5501 16 2 a a DET cana-5501 16 3 perfect perfect ADJ cana-5501 16 4 insulation insulation NOUN cana-5501 16 5 , , PUNCT cana-5501 16 6 the the DET cana-5501 16 7 heat heat NOUN cana-5501 16 8 loss loss NOUN cana-5501 16 9 is be AUX cana-5501 16 10 completely completely ADV cana-5501 16 11 prevented prevent VERB cana-5501 16 12 by by ADP cana-5501 16 13 paying pay VERB cana-5501 16 14 expenditure expenditure NOUN cana-5501 16 15 . . PUNCT cana-5501 17 1 one one NUM cana-5501 17 2 way way NOUN cana-5501 17 3 to to PART cana-5501 17 4 create create VERB cana-5501 17 5 perfect perfect ADJ cana-5501 17 6 insulation insulation NOUN cana-5501 17 7 is be AUX cana-5501 17 8 to to PART cana-5501 17 9 use use VERB cana-5501 17 10 internal internal ADJ cana-5501 17 11 energy energy NOUN cana-5501 17 12 generation generation NOUN cana-5501 17 13 . . PUNCT cana-5501 18 1 in in ADP cana-5501 18 2 this this DET cana-5501 18 3 way way NOUN cana-5501 18 4 , , PUNCT cana-5501 18 5 the the DET cana-5501 18 6 value value NOUN cana-5501 18 7 of of ADP cana-5501 18 8 internal internal ADJ cana-5501 18 9 energy energy NOUN cana-5501 18 10 generation generation NOUN cana-5501 18 11 should should AUX cana-5501 18 12 be be AUX cana-5501 18 13 found find VERB cana-5501 18 14 in in ADP cana-5501 18 15 such such DET cana-5501 18 16 a a DET cana-5501 18 17 way way NOUN cana-5501 18 18 that that PRON cana-5501 18 19 the the DET cana-5501 18 20 temperature temperature NOUN cana-5501 18 21 slope slope NOUN cana-5501 18 22 is be AUX cana-5501 18 23 zero zero NUM cana-5501 18 24 at at ADP cana-5501 18 25 the the DET cana-5501 18 26 desired desire VERB cana-5501 18 27 boundary boundary NOUN cana-5501 18 28 . . PUNCT cana-5501 19 1 according accord VERB cana-5501 19 2 to to ADP cana-5501 19 3 fig fig NOUN cana-5501 19 4 . . PUNCT cana-5501 20 1 1 1 NUM cana-5501 20 2 , , PUNCT cana-5501 20 3 the the DET cana-5501 20 4 present present ADJ cana-5501 20 5 study study NOUN cana-5501 20 6 problem problem NOUN cana-5501 20 7 is be AUX cana-5501 20 8 that that SCONJ cana-5501 20 9 a a DET cana-5501 20 10 biological biological ADJ cana-5501 20 11 species specie NOUN cana-5501 20 12 is be AUX cana-5501 20 13 kept keep VERB cana-5501 20 14 inside inside ADP cana-5501 20 15 a a DET cana-5501 20 16 cubic cubic ADJ cana-5501 20 17 tank tank NOUN cana-5501 20 18 . . PUNCT cana-5501 21 1 for for ADP cana-5501 21 2 the the DET cana-5501 21 3 growth growth NOUN cana-5501 21 4 of of ADP cana-5501 21 5 this this DET cana-5501 21 6 biological biological ADJ cana-5501 21 7 species specie NOUN cana-5501 21 8 , , PUNCT cana-5501 21 9 the the DET cana-5501 21 10 fluid fluid ADJ cana-5501 21 11 temperature temperature NOUN cana-5501 21 12 inside inside ADP cana-5501 21 13 the the DET cana-5501 21 14 tank tank NOUN cana-5501 21 15 must must AUX cana-5501 21 16 remain remain VERB cana-5501 21 17 constant constant ADJ cana-5501 21 18 or or CCONJ cana-5501 21 19 , , PUNCT cana-5501 21 20 in in ADP cana-5501 21 21 other other ADJ cana-5501 21 22 words word NOUN cana-5501 21 23 , , PUNCT cana-5501 21 24 the the DET cana-5501 21 25 heat heat NOUN cana-5501 21 26 loss loss NOUN cana-5501 21 27 from from ADP cana-5501 21 28 the the DET cana-5501 21 29 tank tank NOUN cana-5501 21 30 should should AUX cana-5501 21 31 be be AUX cana-5501 21 32 zero zero NUM cana-5501 21 33 . . PUNCT cana-5501 22 1 therefore therefore ADV cana-5501 22 2 , , PUNCT cana-5501 22 3 perfect perfect ADJ cana-5501 22 4 insulation insulation NOUN cana-5501 22 5 should should AUX cana-5501 22 6 be be AUX cana-5501 22 7 made make VERB cana-5501 22 8 in in ADP cana-5501 22 9 the the DET cana-5501 22 10 wall wall NOUN cana-5501 22 11 of of ADP cana-5501 22 12 the the DET cana-5501 22 13 tank tank NOUN cana-5501 22 14 . . PUNCT cana-5501 23 1 in in ADP cana-5501 23 2 order order NOUN cana-5501 23 3 to to PART cana-5501 23 4 achieve achieve VERB cana-5501 23 5 the the DET cana-5501 23 6 purpose purpose NOUN cana-5501 23 7 of of ADP cana-5501 23 8 the the DET cana-5501 23 9 problem problem NOUN cana-5501 23 10 , , PUNCT cana-5501 23 11 internal internal ADJ cana-5501 23 12 energy energy NOUN cana-5501 23 13 generation generation NOUN cana-5501 23 14 is be AUX cana-5501 23 15 used use VERB cana-5501 23 16 to to PART cana-5501 23 17 create create VERB cana-5501 23 18 perfect perfect ADJ cana-5501 23 19 insulation insulation NOUN cana-5501 23 20 in in ADP cana-5501 23 21 the the DET cana-5501 23 22 tank tank NOUN cana-5501 23 23 wall wall NOUN cana-5501 23 24 . . PUNCT cana-5501 24 1 communications communication NOUN cana-5501 24 2 on on ADP cana-5501 24 3 applied apply VERB cana-5501 24 4 nonlinear nonlinear ADJ cana-5501 24 5 analysis analysis NOUN cana-5501 24 6 issn issn NOUN cana-5501 24 7 : : PUNCT cana-5501 24 8 1074 1074 NUM cana-5501 24 9 - - PUNCT cana-5501 24 10 133x 133x NUM cana-5501 24 11 vol vol VERB cana-5501 24 12 32 32 NUM cana-5501 24 13 no no NOUN cana-5501 24 14 . . PUNCT cana-5501 25 1 10s 10 NOUN cana-5501 25 2 ( ( PUNCT cana-5501 25 3 2025 2025 NUM cana-5501 25 4 ) ) PUNCT cana-5501 25 5 2516 2516 NUM cana-5501 25 6 https://internationalpubls.com https://internationalpubls.com X cana-5501 25 7 fig fig NOUN cana-5501 25 8 . . PUNCT cana-5501 26 1 1 1 X cana-5501 26 2 . . X cana-5501 26 3 schematic schematic ADJ cana-5501 26 4 view view NOUN cana-5501 26 5 of of ADP cana-5501 26 6 the the DET cana-5501 26 7 present present ADJ cana-5501 26 8 study study NOUN cana-5501 26 9 problem problem NOUN cana-5501 26 10 [ [ X cana-5501 26 11 1 1 X cana-5501 26 12 ] ] PUNCT cana-5501 26 13 the the DET cana-5501 26 14 application application NOUN cana-5501 26 15 of of ADP cana-5501 26 16 insulation insulation NOUN cana-5501 26 17 has have AUX cana-5501 26 18 been be AUX cana-5501 26 19 examined examine VERB cana-5501 26 20 in in ADP cana-5501 26 21 many many ADJ cana-5501 26 22 scientific scientific ADJ cana-5501 26 23 research research NOUN cana-5501 26 24 , , PUNCT cana-5501 26 25 which which PRON cana-5501 26 26 is be AUX cana-5501 26 27 discussed discuss VERB cana-5501 26 28 below below ADV cana-5501 26 29 . . PUNCT cana-5501 27 1 yari yari PROPN cana-5501 27 2 et et PROPN cana-5501 27 3 al al PROPN cana-5501 27 4 . . PROPN cana-5501 28 1 ( ( PUNCT cana-5501 28 2 2024 2024 NUM cana-5501 28 3 ) ) PUNCT cana-5501 28 4 numerically numerically ADV cana-5501 28 5 investigated investigate VERB cana-5501 28 6 the the DET cana-5501 28 7 effect effect NOUN cana-5501 28 8 of of ADP cana-5501 28 9 simultaneously simultaneously ADV cana-5501 28 10 using use VERB cana-5501 28 11 insulation insulation NOUN cana-5501 28 12 and and CCONJ cana-5501 28 13 phase phase NOUN cana-5501 28 14 change change NOUN cana-5501 28 15 material material NOUN cana-5501 28 16 in in ADP cana-5501 28 17 building build VERB cana-5501 28 18 walls wall NOUN cana-5501 28 19 to to PART cana-5501 28 20 reduce reduce VERB cana-5501 28 21 heat heat NOUN cana-5501 28 22 loss loss NOUN cana-5501 28 23 [ [ X cana-5501 28 24 2 2 NUM cana-5501 28 25 ] ] PUNCT cana-5501 28 26 . . PUNCT cana-5501 29 1 the the DET cana-5501 29 2 numerical numerical ADJ cana-5501 29 3 results result NOUN cana-5501 29 4 of of ADP cana-5501 29 5 their their PRON cana-5501 29 6 research research NOUN cana-5501 29 7 showed show VERB cana-5501 29 8 that that SCONJ cana-5501 29 9 the the DET cana-5501 29 10 combined combined ADJ cana-5501 29 11 system system NOUN cana-5501 29 12 of of ADP cana-5501 29 13 insulation insulation NOUN cana-5501 29 14 and and CCONJ cana-5501 29 15 phase phase NOUN cana-5501 29 16 change change NOUN cana-5501 29 17 material material NOUN cana-5501 29 18 reduces reduce VERB cana-5501 29 19 heat heat NOUN cana-5501 29 20 loss loss NOUN cana-5501 29 21 from from ADP cana-5501 29 22 the the DET cana-5501 29 23 building building NOUN cana-5501 29 24 by by ADP cana-5501 29 25 about about ADV cana-5501 29 26 70 70 NUM cana-5501 29 27 % % NOUN cana-5501 29 28 . . PUNCT cana-5501 30 1 janetti janetti NOUN cana-5501 30 2 et et PROPN cana-5501 30 3 al al PROPN cana-5501 30 4 . . PROPN cana-5501 31 1 ( ( PUNCT cana-5501 31 2 2024 2024 NUM cana-5501 31 3 ) ) PUNCT cana-5501 31 4 developed develop VERB cana-5501 31 5 an an DET cana-5501 31 6 insulation insulation NOUN cana-5501 31 7 material material NOUN cana-5501 31 8 for for ADP cana-5501 31 9 buildings building NOUN cana-5501 31 10 from from ADP cana-5501 31 11 a a DET cana-5501 31 12 combination combination NOUN cana-5501 31 13 of of ADP cana-5501 31 14 clay clay NOUN cana-5501 31 15 , , PUNCT cana-5501 31 16 biochar biochar NOUN cana-5501 31 17 , , PUNCT cana-5501 31 18 and and CCONJ cana-5501 31 19 natural natural ADJ cana-5501 31 20 fiber fiber NOUN cana-5501 31 21 [ [ X cana-5501 31 22 3 3 NUM cana-5501 31 23 ] ] PUNCT cana-5501 31 24 . . PUNCT cana-5501 32 1 their their PRON cana-5501 32 2 measurements measurement NOUN cana-5501 32 3 showed show VERB cana-5501 32 4 that that SCONJ cana-5501 32 5 the the DET cana-5501 32 6 thermal thermal ADJ cana-5501 32 7 conductivity conductivity NOUN cana-5501 32 8 of of ADP cana-5501 32 9 the the DET cana-5501 32 10 proposed propose VERB cana-5501 32 11 insulation insulation NOUN cana-5501 32 12 is be AUX cana-5501 32 13 about about ADV cana-5501 32 14 0.06 0.06 NUM cana-5501 32 15 w w PROPN cana-5501 32 16 / / SYM cana-5501 32 17 m.k m.k PROPN cana-5501 32 18 . . PUNCT cana-5501 33 1 feng feng PROPN cana-5501 33 2 et et PROPN cana-5501 33 3 al al PROPN cana-5501 33 4 . . PROPN cana-5501 34 1 ( ( PUNCT cana-5501 34 2 2024 2024 NUM cana-5501 34 3 ) ) PUNCT cana-5501 34 4 investigated investigate VERB cana-5501 34 5 the the DET cana-5501 34 6 thermophysical thermophysical ADJ cana-5501 34 7 properties property NOUN cana-5501 34 8 of of ADP cana-5501 34 9 inorganic inorganic ADJ cana-5501 34 10 insulations insulation NOUN cana-5501 34 11 [ [ X cana-5501 34 12 4 4 NUM cana-5501 34 13 ] ] PUNCT cana-5501 34 14 . . PUNCT cana-5501 35 1 they they PRON cana-5501 35 2 obtained obtain VERB cana-5501 35 3 an an DET cana-5501 35 4 insulating insulate VERB cana-5501 35 5 material material NOUN cana-5501 35 6 from from ADP cana-5501 35 7 a a DET cana-5501 35 8 combination combination NOUN cana-5501 35 9 of of ADP cana-5501 35 10 glass glass NOUN cana-5501 35 11 fiber fiber NOUN cana-5501 35 12 and and CCONJ cana-5501 35 13 kaolinite kaolinite NOUN cana-5501 35 14 that that PRON cana-5501 35 15 had have VERB cana-5501 35 16 high high ADJ cana-5501 35 17 compressive compressive ADJ cana-5501 35 18 strength strength NOUN cana-5501 35 19 and and CCONJ cana-5501 35 20 a a DET cana-5501 35 21 thermal thermal ADJ cana-5501 35 22 conductivity conductivity NOUN cana-5501 35 23 of of ADP cana-5501 35 24 about about ADP cana-5501 35 25 0.075 0.075 NUM cana-5501 35 26 w w PROPN cana-5501 35 27 / / SYM cana-5501 35 28 m.k m.k PROPN cana-5501 35 29 . . PUNCT cana-5501 36 1 yue yue PROPN cana-5501 36 2 et et PROPN cana-5501 36 3 al al PROPN cana-5501 36 4 . . PROPN cana-5501 37 1 ( ( PUNCT cana-5501 37 2 2024 2024 NUM cana-5501 37 3 ) ) PUNCT cana-5501 37 4 numerically numerically ADV cana-5501 37 5 investigated investigate VERB cana-5501 37 6 the the DET cana-5501 37 7 thermal thermal ADJ cana-5501 37 8 performance performance NOUN cana-5501 37 9 of of ADP cana-5501 37 10 composite composite ADJ cana-5501 37 11 insulation insulation NOUN cana-5501 37 12 materials material NOUN cana-5501 37 13 [ [ X cana-5501 37 14 5 5 NUM cana-5501 37 15 ] ] PUNCT cana-5501 37 16 . . PUNCT cana-5501 38 1 they they PRON cana-5501 38 2 presented present VERB cana-5501 38 3 correlations correlation NOUN cana-5501 38 4 for for ADP cana-5501 38 5 the the DET cana-5501 38 6 effective effective ADJ cana-5501 38 7 thermal thermal ADJ cana-5501 38 8 conductivity conductivity NOUN cana-5501 38 9 of of ADP cana-5501 38 10 composite composite ADJ cana-5501 38 11 insulation insulation NOUN cana-5501 38 12 materials material NOUN cana-5501 38 13 using use VERB cana-5501 38 14 ansys ansys PROPN cana-5501 38 15 software software PROPN cana-5501 38 16 . . PUNCT cana-5501 39 1 liang liang PROPN cana-5501 39 2 et et PROPN cana-5501 39 3 al al PROPN cana-5501 39 4 . . PROPN cana-5501 40 1 ( ( PUNCT cana-5501 40 2 2025 2025 NUM cana-5501 40 3 ) ) PUNCT cana-5501 40 4 developed develop VERB cana-5501 40 5 a a DET cana-5501 40 6 transient transient ADJ cana-5501 40 7 thermal thermal ADJ cana-5501 40 8 model model NOUN cana-5501 40 9 to to PART cana-5501 40 10 investigate investigate VERB cana-5501 40 11 the the DET cana-5501 40 12 insulation insulation NOUN cana-5501 40 13 of of ADP cana-5501 40 14 a a DET cana-5501 40 15 hydrogen hydrogen NOUN cana-5501 40 16 storage storage NOUN cana-5501 40 17 tank tank NOUN cana-5501 41 1 [ [ X cana-5501 41 2 6 6 NUM cana-5501 41 3 ] ] PUNCT cana-5501 41 4 . . PUNCT cana-5501 42 1 the the DET cana-5501 42 2 insulation insulation NOUN cana-5501 42 3 consisted consist VERB cana-5501 42 4 of of ADP cana-5501 42 5 a a DET cana-5501 42 6 multi multi ADJ cana-5501 42 7 - - ADJ cana-5501 42 8 layer layer ADJ cana-5501 42 9 material material NOUN cana-5501 42 10 of of ADP cana-5501 42 11 variable variable ADJ cana-5501 42 12 density density NOUN cana-5501 42 13 connected connect VERB cana-5501 42 14 to to ADP cana-5501 42 15 a a DET cana-5501 42 16 vapor vapor NOUN cana-5501 42 17 - - PUNCT cana-5501 42 18 cooled cool VERB cana-5501 42 19 shield shield NOUN cana-5501 42 20 . . PUNCT cana-5501 43 1 their their PRON cana-5501 43 2 research research NOUN cana-5501 43 3 results result NOUN cana-5501 43 4 showed show VERB cana-5501 43 5 that that SCONJ cana-5501 43 6 the the DET cana-5501 43 7 insulation insulation NOUN cana-5501 43 8 reduced reduce VERB cana-5501 43 9 heat heat NOUN cana-5501 43 10 loss loss NOUN cana-5501 43 11 by by ADP cana-5501 43 12 up up ADP cana-5501 43 13 to to PART cana-5501 43 14 77 77 NUM cana-5501 43 15 % % NOUN cana-5501 43 16 . . PUNCT cana-5501 44 1 wang wang PROPN cana-5501 44 2 et et PROPN cana-5501 44 3 al al PROPN cana-5501 44 4 . . PROPN cana-5501 45 1 ( ( PUNCT cana-5501 45 2 2025 2025 NUM cana-5501 45 3 ) ) PUNCT cana-5501 45 4 investigated investigate VERB cana-5501 45 5 the the DET cana-5501 45 6 thermal thermal ADJ cana-5501 45 7 performance performance NOUN cana-5501 45 8 of of ADP cana-5501 45 9 a a DET cana-5501 45 10 multilayer multilayer ADJ cana-5501 45 11 insulation insulation NOUN cana-5501 45 12 for for ADP cana-5501 45 13 application application NOUN cana-5501 45 14 in in ADP cana-5501 45 15 hypersonic hypersonic ADJ cana-5501 45 16 vehicles vehicle NOUN cana-5501 45 17 [ [ X cana-5501 45 18 7 7 NUM cana-5501 45 19 ] ] PUNCT cana-5501 45 20 . . PUNCT cana-5501 46 1 their their PRON cana-5501 46 2 thermal thermal ADJ cana-5501 46 3 model model NOUN cana-5501 46 4 considered consider VERB cana-5501 46 5 both both DET cana-5501 46 6 conduction conduction NOUN cana-5501 46 7 and and CCONJ cana-5501 46 8 radiation radiation NOUN cana-5501 46 9 losses loss NOUN cana-5501 46 10 . . PUNCT cana-5501 47 1 their their PRON cana-5501 47 2 results result NOUN cana-5501 47 3 showed show VERB cana-5501 47 4 that that SCONJ cana-5501 47 5 if if SCONJ cana-5501 47 6 the the DET cana-5501 47 7 radiative radiative ADJ cana-5501 47 8 emissivity emissivity NOUN cana-5501 47 9 of of ADP cana-5501 47 10 the the DET cana-5501 47 11 upper upper ADJ cana-5501 47 12 layers layer NOUN cana-5501 47 13 of of ADP cana-5501 47 14 multilayer multilayer ADJ cana-5501 47 15 insulation insulation NOUN cana-5501 47 16 is be AUX cana-5501 47 17 lower low ADJ cana-5501 47 18 than than ADP cana-5501 47 19 the the DET cana-5501 47 20 radiative radiative ADJ cana-5501 47 21 emissivity emissivity NOUN cana-5501 47 22 of of ADP cana-5501 47 23 the the DET cana-5501 47 24 lower low ADJ cana-5501 47 25 layers layer NOUN cana-5501 47 26 , , PUNCT cana-5501 47 27 the the DET cana-5501 47 28 thermal thermal ADJ cana-5501 47 29 performance performance NOUN cana-5501 47 30 of of ADP cana-5501 47 31 the the DET cana-5501 47 32 multilayer multilayer ADJ cana-5501 47 33 insulation insulation NOUN cana-5501 47 34 will will AUX cana-5501 47 35 be be AUX cana-5501 47 36 better well ADJ cana-5501 47 37 . . PUNCT cana-5501 48 1 zhang zhang PROPN cana-5501 48 2 et et PROPN cana-5501 48 3 al al PROPN cana-5501 48 4 . . PROPN cana-5501 49 1 ( ( PUNCT cana-5501 49 2 2025 2025 NUM cana-5501 49 3 ) ) PUNCT cana-5501 49 4 presented present VERB cana-5501 49 5 an an DET cana-5501 49 6 improved improved ADJ cana-5501 49 7 design design NOUN cana-5501 49 8 of of ADP cana-5501 49 9 a a DET cana-5501 49 10 metamaterial metamaterial NOUN cana-5501 49 11 with with ADP cana-5501 49 12 high high ADJ cana-5501 49 13 mechanical mechanical ADJ cana-5501 49 14 properties property NOUN cana-5501 49 15 and and CCONJ cana-5501 49 16 strong strong ADJ cana-5501 49 17 insulation insulation NOUN cana-5501 49 18 for for ADP cana-5501 49 19 use use NOUN cana-5501 49 20 in in ADP cana-5501 49 21 hypersonic hypersonic ADJ cana-5501 49 22 aircrafts aircraft NOUN cana-5501 49 23 [ [ X cana-5501 49 24 8 8 NUM cana-5501 49 25 ] ] PUNCT cana-5501 49 26 . . PUNCT cana-5501 50 1 they they PRON cana-5501 50 2 optimized optimize VERB cana-5501 50 3 their their PRON cana-5501 50 4 design design NOUN cana-5501 50 5 with with ADP cana-5501 50 6 the the DET cana-5501 50 7 node node ADJ cana-5501 50 8 optimization optimization NOUN cana-5501 50 9 strategy strategy NOUN cana-5501 50 10 and and CCONJ cana-5501 50 11 introduced introduce VERB cana-5501 50 12 a a DET cana-5501 50 13 metamaterial metamaterial NOUN cana-5501 50 14 with with ADP cana-5501 50 15 high high ADJ cana-5501 50 16 strength strength NOUN cana-5501 50 17 and and CCONJ cana-5501 50 18 strong strong ADJ cana-5501 50 19 insulation insulation NOUN cana-5501 50 20 . . PUNCT cana-5501 51 1 yu yu PROPN cana-5501 51 2 et et PROPN cana-5501 51 3 al al PROPN cana-5501 51 4 . . PROPN cana-5501 52 1 ( ( PUNCT cana-5501 52 2 2025 2025 NUM cana-5501 52 3 ) ) PUNCT cana-5501 52 4 introduced introduce VERB cana-5501 52 5 and and CCONJ cana-5501 52 6 modeled model VERB cana-5501 52 7 a a DET cana-5501 52 8 novel novel ADJ cana-5501 52 9 insulation insulation NOUN cana-5501 52 10 system system NOUN cana-5501 52 11 for for ADP cana-5501 52 12 liquid liquid ADJ cana-5501 52 13 hydrogen hydrogen NOUN cana-5501 52 14 storage storage NOUN cana-5501 52 15 tanks tank NOUN cana-5501 52 16 [ [ X cana-5501 52 17 9 9 NUM cana-5501 52 18 ] ] PUNCT cana-5501 52 19 . . PUNCT cana-5501 53 1 their their PRON cana-5501 53 2 insulation insulation NOUN cana-5501 53 3 system system NOUN cana-5501 53 4 includes include VERB cana-5501 53 5 a a DET cana-5501 53 6 heat heat NOUN cana-5501 53 7 shield shield NOUN cana-5501 53 8 and and CCONJ cana-5501 53 9 multi multi ADJ cana-5501 53 10 - - ADJ cana-5501 53 11 layer layer ADJ cana-5501 53 12 insulation insulation NOUN cana-5501 53 13 . . PUNCT cana-5501 54 1 their their PRON cana-5501 54 2 novel novel ADJ cana-5501 54 3 design design NOUN cana-5501 54 4 reduces reduce VERB cana-5501 54 5 heat heat NOUN cana-5501 54 6 loss loss NOUN cana-5501 54 7 from from ADP cana-5501 54 8 the the DET cana-5501 54 9 tank tank NOUN cana-5501 54 10 by by ADP cana-5501 54 11 about about ADV cana-5501 54 12 90 90 NUM cana-5501 54 13 % % NOUN cana-5501 54 14 compared compare VERB cana-5501 54 15 to to ADP cana-5501 54 16 conventional conventional ADJ cana-5501 54 17 insulations insulation NOUN cana-5501 54 18 . . PUNCT cana-5501 55 1 communications communication NOUN cana-5501 55 2 on on ADP cana-5501 55 3 applied apply VERB cana-5501 55 4 nonlinear nonlinear ADJ cana-5501 55 5 analysis analysis NOUN cana-5501 55 6 issn issn NOUN cana-5501 55 7 : : PUNCT cana-5501 55 8 1074 1074 NUM cana-5501 55 9 - - PUNCT cana-5501 55 10 133x 133x NUM cana-5501 55 11 vol vol VERB cana-5501 55 12 32 32 NUM cana-5501 55 13 no no NOUN cana-5501 55 14 . . PUNCT cana-5501 56 1 10s 10 NOUN cana-5501 56 2 ( ( PUNCT cana-5501 56 3 2025 2025 NUM cana-5501 56 4 ) ) PUNCT cana-5501 56 5 2517 2517 NUM cana-5501 56 6 https://internationalpubls.com https://internationalpubls.com X cana-5501 56 7 pagoni pagoni NOUN cana-5501 56 8 et et PROPN cana-5501 56 9 al al PROPN cana-5501 56 10 . . PROPN cana-5501 56 11 ( ( PUNCT cana-5501 56 12 2025 2025 NUM cana-5501 56 13 ) ) PUNCT cana-5501 56 14 investigated investigate VERB cana-5501 56 15 the the DET cana-5501 56 16 use use NOUN cana-5501 56 17 of of ADP cana-5501 56 18 various various ADJ cana-5501 56 19 insulation insulation NOUN cana-5501 56 20 materials material NOUN cana-5501 56 21 to to PART cana-5501 56 22 reduce reduce VERB cana-5501 56 23 heat heat NOUN cana-5501 56 24 loss loss NOUN cana-5501 56 25 in in ADP cana-5501 56 26 historic historic ADJ cana-5501 56 27 buildings building NOUN cana-5501 56 28 [ [ X cana-5501 56 29 10 10 NUM cana-5501 56 30 ] ] PUNCT cana-5501 56 31 . . PUNCT cana-5501 57 1 their their PRON cana-5501 57 2 results result NOUN cana-5501 57 3 showed show VERB cana-5501 57 4 that that SCONJ cana-5501 57 5 a a DET cana-5501 57 6 combination combination NOUN cana-5501 57 7 of of ADP cana-5501 57 8 four four NUM cana-5501 57 9 materials material NOUN cana-5501 57 10 of of ADP cana-5501 57 11 glass glass NOUN cana-5501 57 12 foam foam NOUN cana-5501 57 13 , , PUNCT cana-5501 57 14 autoclaved autoclave VERB cana-5501 57 15 aerated aerate VERB cana-5501 57 16 concrete concrete NOUN cana-5501 57 17 , , PUNCT cana-5501 57 18 aerogel aerogel NOUN cana-5501 57 19 , , PUNCT cana-5501 57 20 hemp hemp NOUN cana-5501 57 21 with with ADP cana-5501 57 22 lime lime NOUN cana-5501 57 23 can can AUX cana-5501 57 24 effectively effectively ADV cana-5501 57 25 reduce reduce VERB cana-5501 57 26 heat heat NOUN cana-5501 57 27 loss loss NOUN cana-5501 57 28 . . PUNCT cana-5501 58 1 previous previous ADJ cana-5501 58 2 studies study NOUN cana-5501 58 3 [ [ X cana-5501 58 4 2 2 NUM cana-5501 58 5 - - SYM cana-5501 58 6 10 10 NUM cana-5501 58 7 ] ] PUNCT cana-5501 58 8 have have AUX cana-5501 58 9 focused focus VERB cana-5501 58 10 on on ADP cana-5501 58 11 the the DET cana-5501 58 12 design design NOUN cana-5501 58 13 , , PUNCT cana-5501 58 14 construction construction NOUN cana-5501 58 15 , , PUNCT cana-5501 58 16 and and CCONJ cana-5501 58 17 the the DET cana-5501 58 18 thermal thermal ADJ cana-5501 58 19 performance performance NOUN cana-5501 58 20 evaluation evaluation NOUN cana-5501 58 21 of of ADP cana-5501 58 22 various various ADJ cana-5501 58 23 types type NOUN cana-5501 58 24 of of ADP cana-5501 58 25 conventional conventional ADJ cana-5501 58 26 insulation insulation NOUN cana-5501 58 27 . . PUNCT cana-5501 59 1 however however ADV cana-5501 59 2 , , PUNCT cana-5501 59 3 the the DET cana-5501 59 4 thermal thermal ADJ cana-5501 59 5 performance performance NOUN cana-5501 59 6 of of ADP cana-5501 59 7 perfect perfect ADJ cana-5501 59 8 insulation insulation NOUN cana-5501 59 9 has have AUX cana-5501 59 10 not not PART cana-5501 59 11 been be AUX cana-5501 59 12 investigated investigate VERB cana-5501 59 13 . . PUNCT cana-5501 60 1 in in ADP cana-5501 60 2 this this DET cana-5501 60 3 research research NOUN cana-5501 60 4 , , PUNCT cana-5501 60 5 a a DET cana-5501 60 6 general general ADJ cana-5501 60 7 theoretical theoretical ADJ cana-5501 60 8 framework framework NOUN cana-5501 60 9 for for ADP cana-5501 60 10 creating create VERB cana-5501 60 11 perfect perfect ADJ cana-5501 60 12 insulation insulation NOUN cana-5501 60 13 in in ADP cana-5501 60 14 a a DET cana-5501 60 15 vertical vertical ADJ cana-5501 60 16 wall wall NOUN cana-5501 60 17 using use VERB cana-5501 60 18 internal internal ADJ cana-5501 60 19 energy energy NOUN cana-5501 60 20 generation generation NOUN cana-5501 60 21 is be AUX cana-5501 60 22 developed develop VERB cana-5501 60 23 and and CCONJ cana-5501 60 24 solved solve VERB cana-5501 60 25 . . PUNCT cana-5501 61 1 formulation formulation NOUN cana-5501 61 2 of of ADP cana-5501 61 3 the the DET cana-5501 61 4 problem problem NOUN cana-5501 61 5 the the DET cana-5501 61 6 geometry geometry NOUN cana-5501 61 7 of of ADP cana-5501 61 8 a a DET cana-5501 61 9 vertical vertical ADJ cana-5501 61 10 wall wall NOUN cana-5501 61 11 is be AUX cana-5501 61 12 given give VERB cana-5501 61 13 in in ADP cana-5501 61 14 fig fig NOUN cana-5501 61 15 . . PUNCT cana-5501 62 1 2 2 X cana-5501 62 2 . . X cana-5501 62 3 fig fig NOUN cana-5501 62 4 . . PUNCT cana-5501 63 1 2 2 X cana-5501 63 2 . . X cana-5501 63 3 geometry geometry NOUN cana-5501 63 4 of of ADP cana-5501 63 5 the the DET cana-5501 63 6 problem problem NOUN cana-5501 63 7 where where SCONJ cana-5501 63 8 𝑇𝑖 𝑇𝑖 PROPN cana-5501 63 9 , , PUNCT cana-5501 63 10 π‘‡π‘œ π‘‡π‘œ PROPN cana-5501 63 11 , , PUNCT cana-5501 63 12 β„Žπ‘– β„Žπ‘– PROPN cana-5501 63 13 , , PUNCT cana-5501 63 14 β„Žπ‘œ β„Žπ‘œ ADJ cana-5501 63 15 , , PUNCT cana-5501 63 16 and and CCONJ cana-5501 63 17 𝐿 𝐿 PROPN cana-5501 63 18 , , PUNCT cana-5501 63 19 are be AUX cana-5501 63 20 inside inside ADP cana-5501 63 21 fluid fluid ADJ cana-5501 63 22 temperature temperature NOUN cana-5501 63 23 , , PUNCT cana-5501 63 24 outside outside ADP cana-5501 63 25 fluid fluid ADJ cana-5501 63 26 temperature temperature NOUN cana-5501 63 27 , , PUNCT cana-5501 63 28 inside inside ADP cana-5501 63 29 convective convective ADJ cana-5501 63 30 heat heat NOUN cana-5501 63 31 transfer transfer NOUN cana-5501 63 32 coefficient coefficient NOUN cana-5501 63 33 , , PUNCT cana-5501 63 34 outside outside ADP cana-5501 63 35 convective convective ADJ cana-5501 63 36 heat heat NOUN cana-5501 63 37 transfer transfer NOUN cana-5501 63 38 coefficient coefficient NOUN cana-5501 63 39 and and CCONJ cana-5501 63 40 wall wall NOUN cana-5501 63 41 thickness thickness NOUN cana-5501 63 42 , , PUNCT cana-5501 63 43 respectively respectively ADV cana-5501 63 44 . . PUNCT cana-5501 64 1 in in ADP cana-5501 64 2 order order NOUN cana-5501 64 3 to to PART cana-5501 64 4 derive derive VERB cana-5501 64 5 the the DET cana-5501 64 6 problem problem NOUN cana-5501 64 7 governing govern VERB cana-5501 64 8 equation equation NOUN cana-5501 64 9 , , PUNCT cana-5501 64 10 the the DET cana-5501 64 11 energy energy NOUN cana-5501 64 12 balance balance NOUN cana-5501 64 13 and and CCONJ cana-5501 64 14 the the DET cana-5501 64 15 fourier fourier NOUN cana-5501 64 16 conduction conduction NOUN cana-5501 64 17 law law NOUN cana-5501 64 18 for for ADP cana-5501 64 19 the the DET cana-5501 64 20 differential differential ADJ cana-5501 64 21 control control NOUN cana-5501 64 22 volume volume NOUN cana-5501 64 23 of of ADP cana-5501 64 24 fig fig NOUN cana-5501 64 25 . . PUNCT cana-5501 64 26 3 3 NUM cana-5501 64 27 is be AUX cana-5501 64 28 written write VERB cana-5501 64 29 . . PUNCT cana-5501 65 1 fig fig NOUN cana-5501 65 2 . . PUNCT cana-5501 66 1 3 3 X cana-5501 66 2 . . X cana-5501 66 3 differential differential PROPN cana-5501 66 4 control control NOUN cana-5501 66 5 volume volume NOUN cana-5501 66 6 of of ADP cana-5501 66 7 the the DET cana-5501 66 8 wall wall PROPN cana-5501 66 9 communications communication NOUN cana-5501 66 10 on on ADP cana-5501 66 11 applied apply VERB cana-5501 66 12 nonlinear nonlinear ADJ cana-5501 66 13 analysis analysis NOUN cana-5501 66 14 issn issn NOUN cana-5501 66 15 : : PUNCT cana-5501 66 16 1074 1074 NUM cana-5501 66 17 - - PUNCT cana-5501 66 18 133x 133x NUM cana-5501 66 19 vol vol VERB cana-5501 66 20 32 32 NUM cana-5501 66 21 no no NOUN cana-5501 66 22 . . PUNCT cana-5501 67 1 10s 10 NOUN cana-5501 67 2 ( ( PUNCT cana-5501 67 3 2025 2025 NUM cana-5501 67 4 ) ) PUNCT cana-5501 67 5 2518 2518 NUM cana-5501 67 6 https://internationalpubls.com https://internationalpubls.com X cana-5501 67 7 where where SCONJ cana-5501 67 8 π‘žπ‘₯ π‘žπ‘₯ PROPN cana-5501 67 9 , , PUNCT cana-5501 67 10 𝐴 𝐴 PROPN cana-5501 67 11 , , PUNCT cana-5501 67 12 𝑑π‘₯ 𝑑π‘₯ NOUN cana-5501 67 13 , , PUNCT cana-5501 67 14 π‘‘βˆ€ π‘‘βˆ€ NOUN cana-5501 67 15 , , PUNCT cana-5501 67 16 and and CCONJ cana-5501 67 17 π‘žβ€²β€²β€² π‘žβ€²β€²β€² NOUN cana-5501 67 18 , , PUNCT cana-5501 67 19 are be AUX cana-5501 67 20 conductive conductive ADJ cana-5501 67 21 heat heat NOUN cana-5501 67 22 flux flux NOUN cana-5501 67 23 , , PUNCT cana-5501 67 24 wall wall PROPN cana-5501 67 25 area area PROPN cana-5501 67 26 , , PUNCT cana-5501 67 27 thickness thickness NOUN cana-5501 67 28 of of ADP cana-5501 67 29 differential differential ADJ cana-5501 67 30 control control NOUN cana-5501 67 31 volume volume NOUN cana-5501 67 32 , , PUNCT cana-5501 67 33 volume volume NOUN cana-5501 67 34 of of ADP cana-5501 67 35 differential differential ADJ cana-5501 67 36 control control NOUN cana-5501 67 37 volume volume NOUN cana-5501 67 38 and and CCONJ cana-5501 67 39 internal internal ADJ cana-5501 67 40 energy energy NOUN cana-5501 67 41 generation generation NOUN cana-5501 67 42 per per ADP cana-5501 67 43 unit unit NOUN cana-5501 67 44 volume volume NOUN cana-5501 67 45 , , PUNCT cana-5501 67 46 respectively respectively ADV cana-5501 67 47 . . PUNCT cana-5501 68 1 the the DET cana-5501 68 2 energy energy NOUN cana-5501 68 3 balance balance NOUN cana-5501 68 4 for for ADP cana-5501 68 5 the the DET cana-5501 68 6 control control NOUN cana-5501 68 7 volume volume NOUN cana-5501 68 8 of of ADP cana-5501 68 9 fig fig NOUN cana-5501 68 10 . . PUNCT cana-5501 69 1 3 3 NUM cana-5501 69 2 is be AUX cana-5501 69 3 written write VERB cana-5501 69 4 as as SCONJ cana-5501 69 5 follows follow VERB cana-5501 69 6 [ [ X cana-5501 69 7 11 11 NUM cana-5501 69 8 ] ] PUNCT cana-5501 69 9 οΏ½ οΏ½ PROPN cana-5501 69 10 Μ‡ Μ‡ PROPN cana-5501 69 11 οΏ½ οΏ½ PROPN cana-5501 69 12 𝑖𝑛 𝑖𝑛 PART cana-5501 69 13 βˆ’ βˆ’ PROPN cana-5501 69 14 οΏ½ οΏ½ PROPN cana-5501 69 15 Μ‡ Μ‡ PROPN cana-5501 69 16 οΏ½ οΏ½ PROPN cana-5501 69 17 π‘œπ‘’π‘‘ π‘œπ‘’π‘‘ NOUN cana-5501 69 18 + + SYM cana-5501 69 19 οΏ½ οΏ½ PROPN cana-5501 69 20 Μ‡ Μ‡ NOUN cana-5501 69 21 οΏ½ οΏ½ PROPN cana-5501 69 22 𝑔𝑒𝑛 𝑔𝑒𝑛 NOUN cana-5501 69 23 = = SYM cana-5501 69 24 οΏ½ οΏ½ PROPN cana-5501 69 25 Μ‡ Μ‡ PROPN cana-5501 69 26 οΏ½ οΏ½ PROPN cana-5501 69 27 π‘ π‘‘βŸ π‘ π‘‘βŸ NOUN cana-5501 69 28 = = NOUN cana-5501 69 29 0 0 X cana-5501 69 30 ( ( PUNCT cana-5501 69 31 1 1 NUM cana-5501 69 32 ) ) PUNCT cana-5501 69 33 where where SCONJ cana-5501 69 34 οΏ½ οΏ½ PROPN cana-5501 69 35 Μ‡ Μ‡ PROPN cana-5501 69 36 οΏ½ οΏ½ PROPN cana-5501 69 37 𝑖𝑛 𝑖𝑛 PROPN cana-5501 69 38 , , PUNCT cana-5501 69 39 οΏ½ οΏ½ PROPN cana-5501 69 40 Μ‡ Μ‡ PROPN cana-5501 69 41 οΏ½ οΏ½ PROPN cana-5501 69 42 π‘œπ‘’π‘‘ π‘œπ‘’π‘‘ PROPN cana-5501 69 43 , , PUNCT cana-5501 69 44 οΏ½ οΏ½ PROPN cana-5501 69 45 Μ‡ Μ‡ PROPN cana-5501 69 46 οΏ½ οΏ½ PROPN cana-5501 69 47 𝑔𝑒𝑛 𝑔𝑒𝑛 NOUN cana-5501 69 48 , , PUNCT cana-5501 69 49 and and CCONJ cana-5501 69 50 οΏ½ οΏ½ PROPN cana-5501 69 51 Μ‡ Μ‡ PROPN cana-5501 69 52 οΏ½ οΏ½ PROPN cana-5501 69 53 𝑠𝑑 𝑠𝑑 PROPN cana-5501 69 54 , , PUNCT cana-5501 69 55 are be AUX cana-5501 69 56 rate rate NOUN cana-5501 69 57 of of ADP cana-5501 69 58 input input NOUN cana-5501 69 59 energies energy NOUN cana-5501 69 60 to to ADP cana-5501 69 61 the the DET cana-5501 69 62 control control NOUN cana-5501 69 63 volume volume NOUN cana-5501 69 64 , , PUNCT cana-5501 69 65 rate rate NOUN cana-5501 69 66 of of ADP cana-5501 69 67 output output NOUN cana-5501 69 68 energies energy NOUN cana-5501 69 69 from from ADP cana-5501 69 70 the the DET cana-5501 69 71 control control NOUN cana-5501 69 72 volume volume NOUN cana-5501 69 73 , , PUNCT cana-5501 69 74 rate rate NOUN cana-5501 69 75 of of ADP cana-5501 69 76 energy energy NOUN cana-5501 69 77 generation generation NOUN cana-5501 69 78 in in ADP cana-5501 69 79 the the DET cana-5501 69 80 control control NOUN cana-5501 69 81 volume volume NOUN cana-5501 69 82 , , PUNCT cana-5501 69 83 and and CCONJ cana-5501 69 84 rate rate NOUN cana-5501 69 85 of of ADP cana-5501 69 86 energy energy NOUN cana-5501 69 87 change change NOUN cana-5501 69 88 in in ADP cana-5501 69 89 the the DET cana-5501 69 90 control control NOUN cana-5501 69 91 volume volume NOUN cana-5501 69 92 , , PUNCT cana-5501 69 93 respectively respectively ADV cana-5501 69 94 . . PUNCT cana-5501 70 1 due due ADP cana-5501 70 2 to to ADP cana-5501 70 3 the the DET cana-5501 70 4 steady steady ADJ cana-5501 70 5 state state NOUN cana-5501 70 6 condition condition NOUN cana-5501 70 7 , , PUNCT cana-5501 70 8 οΏ½ οΏ½ PROPN cana-5501 70 9 Μ‡ Μ‡ PROPN cana-5501 70 10 οΏ½ οΏ½ PROPN cana-5501 70 11 𝑠𝑑 𝑠𝑑 PROPN cana-5501 70 12 = = SYM cana-5501 70 13 0 0 PROPN cana-5501 70 14 . . PUNCT cana-5501 70 15 substituting substitute VERB cana-5501 70 16 the the DET cana-5501 70 17 energy energy NOUN cana-5501 70 18 rates rate NOUN cana-5501 70 19 of of ADP cana-5501 70 20 fig fig NOUN cana-5501 70 21 . . PUNCT cana-5501 70 22 3 3 NUM cana-5501 70 23 into into ADP cana-5501 70 24 eq eq NOUN cana-5501 70 25 . . PUNCT cana-5501 71 1 ( ( PUNCT cana-5501 71 2 1 1 X cana-5501 71 3 ) ) PUNCT cana-5501 71 4 yields yield VERB cana-5501 71 5 π‘žπ‘₯𝐴 π‘žπ‘₯𝐴 NOUN cana-5501 71 6 βˆ’ βˆ’ PROPN cana-5501 71 7 ( ( PUNCT cana-5501 71 8 π‘žπ‘₯𝐴 π‘žπ‘₯𝐴 NOUN cana-5501 71 9 + + CCONJ cana-5501 71 10 𝑑(π‘žπ‘₯𝐴 𝑑(π‘žπ‘₯𝐴 NOUN cana-5501 71 11 ) ) PUNCT cana-5501 71 12 𝑑π‘₯ 𝑑π‘₯ ADP cana-5501 71 13 𝑑π‘₯ 𝑑π‘₯ NOUN cana-5501 71 14 ) ) PUNCT cana-5501 72 1 + + CCONJ cana-5501 72 2 π‘žβ€²β€²β€²π‘‘βˆ€= π‘žβ€²β€²β€²π‘‘βˆ€= NOUN cana-5501 72 3 0 0 NUM cana-5501 72 4 ( ( PUNCT cana-5501 72 5 2 2 X cana-5501 72 6 ) ) PUNCT cana-5501 72 7 the the DET cana-5501 72 8 conductive conductive ADJ cana-5501 72 9 heat heat NOUN cana-5501 72 10 flux flux NOUN cana-5501 72 11 is be AUX cana-5501 72 12 defined define VERB cana-5501 72 13 by by ADP cana-5501 72 14 heat heat NOUN cana-5501 72 15 conduction conduction NOUN cana-5501 72 16 fourier fourier NOUN cana-5501 72 17 law law NOUN cana-5501 72 18 as as SCONJ cana-5501 72 19 follows follow VERB cana-5501 72 20 [ [ X cana-5501 72 21 11 11 NUM cana-5501 72 22 ] ] X cana-5501 72 23 π‘žπ‘₯ π‘žπ‘₯ X cana-5501 72 24 = = PUNCT cana-5501 72 25 βˆ’π‘˜ βˆ’π‘˜ NOUN cana-5501 72 26 𝑑𝑇 𝑑𝑇 ADJ cana-5501 72 27 𝑑π‘₯ 𝑑π‘₯ VERB cana-5501 72 28 ( ( PUNCT cana-5501 72 29 3 3 NUM cana-5501 72 30 ) ) PUNCT cana-5501 72 31 here here ADV cana-5501 72 32 , , PUNCT cana-5501 72 33 π‘˜ π‘˜ PROPN cana-5501 72 34 is be AUX cana-5501 72 35 thermal thermal ADJ cana-5501 72 36 conductivity conductivity NOUN cana-5501 72 37 of of ADP cana-5501 72 38 the the DET cana-5501 72 39 wall wall NOUN cana-5501 72 40 . . PUNCT cana-5501 73 1 also also ADV cana-5501 73 2 π‘‘βˆ€= π‘‘βˆ€= NOUN cana-5501 73 3 𝐴𝑑π‘₯. 𝐴𝑑π‘₯. PROPN cana-5501 73 4 by by ADP cana-5501 73 5 substituting substitute VERB cana-5501 73 6 eq eq PROPN cana-5501 73 7 . . PUNCT cana-5501 74 1 ( ( PUNCT cana-5501 74 2 3 3 X cana-5501 74 3 ) ) PUNCT cana-5501 74 4 into into ADP cana-5501 74 5 eq eq NOUN cana-5501 74 6 . . PUNCT cana-5501 75 1 ( ( PUNCT cana-5501 75 2 2 2 NUM cana-5501 75 3 ) ) PUNCT cana-5501 75 4 and and CCONJ cana-5501 75 5 simplifying simplifying NOUN cana-5501 75 6 , , PUNCT cana-5501 75 7 the the DET cana-5501 75 8 governing govern VERB cana-5501 75 9 equation equation NOUN cana-5501 75 10 for for ADP cana-5501 75 11 the the DET cana-5501 75 12 problem problem NOUN cana-5501 75 13 is be AUX cana-5501 75 14 obtained obtain VERB cana-5501 75 15 as as ADP cana-5501 75 16 follows follow VERB cana-5501 75 17 { { PUNCT cana-5501 75 18 𝑑2𝑇 𝑑2𝑇 NUM cana-5501 75 19 𝑑π‘₯2 𝑑π‘₯2 NOUN cana-5501 75 20 + + CCONJ cana-5501 75 21 π‘žβ€²β€²β€² π‘žβ€²β€²β€² VERB cana-5501 75 22 π‘˜ π‘˜ X cana-5501 75 23 = = NOUN cana-5501 75 24 0 0 NUM cana-5501 75 25 𝑇(0 𝑇(0 NUM cana-5501 75 26 ) ) PUNCT cana-5501 75 27 = = NOUN cana-5501 75 28 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 75 29 𝑇(𝐿 𝑇(𝐿 NOUN cana-5501 75 30 ) ) PUNCT cana-5501 76 1 = = NOUN cana-5501 76 2 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 76 3 ( ( PUNCT cana-5501 76 4 4 4 NUM cana-5501 76 5 ) ) PUNCT cana-5501 76 6 where where SCONJ cana-5501 76 7 𝑇𝑠1 𝑇𝑠1 NOUN cana-5501 76 8 and and CCONJ cana-5501 76 9 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 76 10 are be AUX cana-5501 76 11 temperature temperature NOUN cana-5501 76 12 of of ADP cana-5501 76 13 inner inner ADJ cana-5501 76 14 surface surface NOUN cana-5501 76 15 of of ADP cana-5501 76 16 the the DET cana-5501 76 17 wall wall NOUN cana-5501 76 18 and and CCONJ cana-5501 76 19 temperature temperature NOUN cana-5501 76 20 of of ADP cana-5501 76 21 outer outer ADJ cana-5501 76 22 surface surface NOUN cana-5501 76 23 of of ADP cana-5501 76 24 the the DET cana-5501 76 25 wall wall NOUN cana-5501 76 26 , , PUNCT cana-5501 76 27 respectively respectively ADV cana-5501 76 28 . . PUNCT cana-5501 77 1 in in ADP cana-5501 77 2 the the DET cana-5501 77 3 present present ADJ cana-5501 77 4 study study NOUN cana-5501 77 5 , , PUNCT cana-5501 77 6 the the DET cana-5501 77 7 internal internal ADJ cana-5501 77 8 energy energy NOUN cana-5501 77 9 generation generation NOUN cana-5501 77 10 is be AUX cana-5501 77 11 considered consider VERB cana-5501 77 12 to to PART cana-5501 77 13 be be AUX cana-5501 77 14 uniform uniform ADJ cana-5501 77 15 and and CCONJ cana-5501 77 16 linear linear PROPN cana-5501 77 17 as as SCONJ cana-5501 77 18 follows follow VERB cana-5501 77 19 π‘žβ€²β€²β€² π‘žβ€²β€²β€² NOUN cana-5501 77 20 = = SYM cana-5501 77 21 π‘ž0 π‘ž0 PROPN cana-5501 77 22 β€²β€²β€² β€²β€²β€² PROPN cana-5501 78 1 ( ( PUNCT cana-5501 78 2 5 5 X cana-5501 78 3 ) ) PUNCT cana-5501 78 4 π‘žβ€²β€²β€² π‘žβ€²β€²β€² NOUN cana-5501 78 5 = = SYM cana-5501 78 6 π‘ž0 π‘ž0 PROPN cana-5501 78 7 β€²β€²β€² β€²β€²β€² PROPN cana-5501 79 1 ( ( PUNCT cana-5501 79 2 1 1 NUM cana-5501 79 3 βˆ’ βˆ’ PROPN cana-5501 79 4 π‘₯ π‘₯ PROPN cana-5501 79 5 𝐿 𝐿 PROPN cana-5501 79 6 ) ) PUNCT cana-5501 79 7 ( ( PUNCT cana-5501 79 8 6 6 X cana-5501 79 9 ) ) PUNCT cana-5501 79 10 the the DET cana-5501 79 11 temperatures temperature NOUN cana-5501 79 12 of of ADP cana-5501 79 13 𝑇𝑠1 𝑇𝑠1 NOUN cana-5501 79 14 and and CCONJ cana-5501 79 15 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 79 16 and and CCONJ cana-5501 79 17 the the DET cana-5501 79 18 internal internal ADJ cana-5501 79 19 energy energy NOUN cana-5501 79 20 generation generation NOUN cana-5501 79 21 of of ADP cana-5501 79 22 π‘ž0 π‘ž0 PROPN cana-5501 79 23 β€²β€²β€² β€²β€²β€² PROPN cana-5501 79 24 are be AUX cana-5501 79 25 obtained obtain VERB cana-5501 79 26 from from ADP cana-5501 79 27 the the DET cana-5501 79 28 following follow VERB cana-5501 79 29 boundary boundary ADJ cana-5501 79 30 conditions condition NOUN cana-5501 79 31 𝑑𝑇(0 𝑑𝑇(0 NOUN cana-5501 79 32 ) ) PUNCT cana-5501 79 33 𝑑π‘₯ 𝑑π‘₯ VERB cana-5501 79 34 = = SYM cana-5501 79 35 0 0 NUM cana-5501 79 36 ( ( PUNCT cana-5501 79 37 7 7 X cana-5501 79 38 ) ) PUNCT cana-5501 79 39 βˆ’π‘˜ βˆ’π‘˜ NOUN cana-5501 79 40 𝑑𝑇(𝐿 𝑑𝑇(𝐿 NOUN cana-5501 79 41 ) ) PUNCT cana-5501 80 1 𝑑π‘₯ 𝑑π‘₯ VERB cana-5501 80 2 = = SYM cana-5501 80 3 β„Žπ‘œ[𝑇(𝐿 β„Žπ‘œ[𝑇(𝐿 ADJ cana-5501 80 4 ) ) PUNCT cana-5501 80 5 βˆ’ βˆ’ PROPN cana-5501 80 6 π‘‡π‘œ π‘‡π‘œ PROPN cana-5501 80 7 ] ] X cana-5501 80 8 ( ( PUNCT cana-5501 80 9 8) 8) NUM cana-5501 80 10 𝑇(0 𝑇(0 NUM cana-5501 80 11 ) ) PUNCT cana-5501 80 12 = = SYM cana-5501 81 1 𝑇𝑖 𝑇𝑖 PROPN cana-5501 81 2 ( ( PUNCT cana-5501 81 3 9 9 NUM cana-5501 81 4 ) ) PUNCT cana-5501 81 5 the the DET cana-5501 81 6 analytical analytical ADJ cana-5501 81 7 solution solution NOUN cana-5501 81 8 of of ADP cana-5501 81 9 eq eq PROPN cana-5501 81 10 . . PUNCT cana-5501 82 1 ( ( PUNCT cana-5501 82 2 4 4 NUM cana-5501 82 3 ) ) PUNCT cana-5501 82 4 for for ADP cana-5501 82 5 uniform uniform ADJ cana-5501 82 6 and and CCONJ cana-5501 82 7 linear linear ADJ cana-5501 82 8 internal internal ADJ cana-5501 82 9 energy energy NOUN cana-5501 82 10 generation generation NOUN cana-5501 82 11 is be AUX cana-5501 82 12 given give VERB cana-5501 82 13 as as SCONJ cana-5501 82 14 follows follow VERB cana-5501 82 15 uniform uniform ADJ cana-5501 82 16 internal internal ADJ cana-5501 82 17 energy energy NOUN cana-5501 82 18 generation generation NOUN cana-5501 82 19 : : PUNCT cana-5501 82 20 communications communication NOUN cana-5501 82 21 on on ADP cana-5501 82 22 applied apply VERB cana-5501 82 23 nonlinear nonlinear ADJ cana-5501 82 24 analysis analysis NOUN cana-5501 82 25 issn issn NOUN cana-5501 82 26 : : PUNCT cana-5501 82 27 1074 1074 NUM cana-5501 82 28 - - PUNCT cana-5501 82 29 133x 133x NUM cana-5501 82 30 vol vol VERB cana-5501 82 31 32 32 NUM cana-5501 82 32 no no NOUN cana-5501 82 33 . . PUNCT cana-5501 83 1 10s 10 NOUN cana-5501 83 2 ( ( PUNCT cana-5501 83 3 2025 2025 NUM cana-5501 83 4 ) ) PUNCT cana-5501 83 5 2519 2519 NUM cana-5501 83 6 https://internationalpubls.com https://internationalpubls.com X cana-5501 83 7 𝑇(π‘₯ 𝑇(π‘₯ NOUN cana-5501 83 8 ) ) PUNCT cana-5501 83 9 = = PUNCT cana-5501 84 1 βˆ’ βˆ’ PROPN cana-5501 84 2 π‘žπ‘œ π‘žπ‘œ INTJ cana-5501 84 3 β€²β€²β€² β€²β€²β€² NOUN cana-5501 84 4 π‘˜ π‘˜ DET cana-5501 84 5 π‘₯2 π‘₯2 NOUN cana-5501 84 6 2 2 NUM cana-5501 84 7 + + CCONJ cana-5501 84 8 ( ( PUNCT cana-5501 84 9 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 85 1 βˆ’ βˆ’ PROPN cana-5501 85 2 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 85 3 𝐿 𝐿 PROPN cana-5501 85 4 + + CCONJ cana-5501 85 5 π‘žπ‘œ π‘žπ‘œ PROPN cana-5501 85 6 β€²β€²β€² β€²β€²β€² NOUN cana-5501 85 7 π‘˜ π‘˜ PROPN cana-5501 85 8 𝐿 𝐿 PROPN cana-5501 85 9 2 2 NUM cana-5501 85 10 ) ) PUNCT cana-5501 85 11 π‘₯ π‘₯ NOUN cana-5501 86 1 + + NUM cana-5501 86 2 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 86 3 ( ( PUNCT cana-5501 86 4 10 10 NUM cana-5501 86 5 ) ) PUNCT cana-5501 86 6 𝑇𝑠1 𝑇𝑠1 NOUN cana-5501 86 7 = = PUNCT cana-5501 87 1 𝑇𝑖 𝑇𝑖 PROPN cana-5501 87 2 ( ( PUNCT cana-5501 87 3 11 11 NUM cana-5501 87 4 ) ) PUNCT cana-5501 87 5 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 88 1 = = PUNCT cana-5501 89 1 𝑇𝑖 𝑇𝑖 INTJ cana-5501 89 2 βˆ’ βˆ’ PROPN cana-5501 89 3 π‘žπ‘œ π‘žπ‘œ INTJ cana-5501 89 4 β€²β€²β€² β€²β€²β€² PROPN cana-5501 89 5 π‘˜ π‘˜ DET cana-5501 89 6 𝐿2 𝐿2 NOUN cana-5501 89 7 2 2 NUM cana-5501 89 8 ( ( PUNCT cana-5501 89 9 12 12 NUM cana-5501 89 10 ) ) PUNCT cana-5501 89 11 π‘žπ‘œ π‘žπ‘œ PRON cana-5501 89 12 β€²β€²β€² β€²β€²β€² NOUN cana-5501 90 1 = = PUNCT cana-5501 91 1 β„Žπ‘œ(𝑇𝑖 β„Žπ‘œ(𝑇𝑖 NOUN cana-5501 91 2 βˆ’ βˆ’ NOUN cana-5501 91 3 π‘‡π‘œ π‘‡π‘œ PROPN cana-5501 91 4 ) ) PUNCT cana-5501 91 5 𝐿 𝐿 NOUN cana-5501 92 1 + + CCONJ cana-5501 92 2 β„Žπ‘œ β„Žπ‘œ PROPN cana-5501 92 3 π‘˜ π‘˜ PRON cana-5501 92 4 𝐿2 𝐿2 ADJ cana-5501 92 5 2 2 NUM cana-5501 92 6 ( ( PUNCT cana-5501 92 7 13 13 NUM cana-5501 92 8 ) ) PUNCT cana-5501 92 9 linear linear PROPN cana-5501 92 10 internal internal ADJ cana-5501 92 11 energy energy NOUN cana-5501 92 12 generation generation NOUN cana-5501 92 13 : : PUNCT cana-5501 92 14 𝑇(π‘₯ 𝑇(π‘₯ X cana-5501 92 15 ) ) PUNCT cana-5501 92 16 = = SYM cana-5501 92 17 βˆ’ βˆ’ PROPN cana-5501 93 1 π‘žπ‘œ π‘žπ‘œ INTJ cana-5501 93 2 β€²β€²β€² β€²β€²β€² PROPN cana-5501 93 3 π‘˜ π‘˜ X cana-5501 93 4 ( ( PUNCT cana-5501 93 5 π‘₯2 π‘₯2 NOUN cana-5501 93 6 2 2 NUM cana-5501 93 7 βˆ’ βˆ’ PROPN cana-5501 93 8 π‘₯3 π‘₯3 NOUN cana-5501 93 9 6𝐿 6𝐿 NOUN cana-5501 93 10 ) ) PUNCT cana-5501 94 1 + + CCONJ cana-5501 94 2 ( ( PUNCT cana-5501 94 3 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 94 4 βˆ’ βˆ’ PROPN cana-5501 94 5 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 94 6 𝐿 𝐿 PROPN cana-5501 94 7 + + CCONJ cana-5501 94 8 π‘žπ‘œ π‘žπ‘œ PROPN cana-5501 94 9 β€²β€²β€² β€²β€²β€² NOUN cana-5501 94 10 π‘˜ π‘˜ PROPN cana-5501 94 11 𝐿 𝐿 PROPN cana-5501 94 12 3 3 NUM cana-5501 94 13 ) ) PUNCT cana-5501 94 14 π‘₯ π‘₯ NOUN cana-5501 94 15 + + NUM cana-5501 94 16 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 94 17 ( ( PUNCT cana-5501 94 18 14 14 NUM cana-5501 94 19 ) ) PUNCT cana-5501 94 20 𝑇𝑠1 𝑇𝑠1 NOUN cana-5501 94 21 = = PUNCT cana-5501 94 22 𝑇𝑖 𝑇𝑖 PROPN cana-5501 94 23 ( ( PUNCT cana-5501 94 24 15 15 NUM cana-5501 94 25 ) ) PUNCT cana-5501 94 26 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 94 27 = = PUNCT cana-5501 95 1 𝑇𝑖 𝑇𝑖 INTJ cana-5501 95 2 βˆ’ βˆ’ PROPN cana-5501 95 3 π‘žπ‘œ π‘žπ‘œ INTJ cana-5501 95 4 β€²β€²β€² β€²β€²β€² PROPN cana-5501 95 5 π‘˜ π‘˜ DET cana-5501 95 6 𝐿2 𝐿2 NOUN cana-5501 95 7 3 3 NUM cana-5501 95 8 ( ( PUNCT cana-5501 95 9 16 16 NUM cana-5501 95 10 ) ) PUNCT cana-5501 95 11 π‘žπ‘œ π‘žπ‘œ PRON cana-5501 95 12 β€²β€²β€² β€²β€²β€² NOUN cana-5501 96 1 = = PUNCT cana-5501 97 1 β„Žπ‘œ(𝑇𝑖 β„Žπ‘œ(𝑇𝑖 NOUN cana-5501 97 2 βˆ’ βˆ’ NOUN cana-5501 97 3 π‘‡π‘œ π‘‡π‘œ PROPN cana-5501 97 4 ) ) PUNCT cana-5501 97 5 𝐿 𝐿 NOUN cana-5501 97 6 2 2 NUM cana-5501 97 7 + + CCONJ cana-5501 97 8 β„Žπ‘œ β„Žπ‘œ PROPN cana-5501 97 9 π‘˜ π‘˜ DET cana-5501 97 10 𝐿2 𝐿2 NOUN cana-5501 97 11 3 3 NUM cana-5501 97 12 ( ( PUNCT cana-5501 97 13 17 17 NUM cana-5501 97 14 ) ) PUNCT cana-5501 97 15 the the DET cana-5501 97 16 rate rate NOUN cana-5501 97 17 of of ADP cana-5501 97 18 conduction conduction NOUN cana-5501 97 19 heat heat NOUN cana-5501 97 20 transfer transfer NOUN cana-5501 97 21 along along ADP cana-5501 97 22 the the DET cana-5501 97 23 length length NOUN cana-5501 97 24 of of ADP cana-5501 97 25 the the DET cana-5501 97 26 wall wall NOUN cana-5501 97 27 is be AUX cana-5501 97 28 calculated calculate VERB cana-5501 97 29 as as SCONJ cana-5501 97 30 follows follow VERB cana-5501 97 31 uniform uniform ADJ cana-5501 97 32 internal internal ADJ cana-5501 97 33 energy energy NOUN cana-5501 97 34 generation generation NOUN cana-5501 97 35 : : PUNCT cana-5501 97 36 𝑄 𝑄 PROPN cana-5501 97 37 = = PUNCT cana-5501 97 38 βˆ’π‘˜π΄ βˆ’π‘˜π΄ NOUN cana-5501 97 39 𝑑𝑇 𝑑𝑇 ADJ cana-5501 97 40 𝑑π‘₯ 𝑑π‘₯ VERB cana-5501 97 41 = = SYM cana-5501 97 42 π‘˜π΄ π‘˜π΄ NOUN cana-5501 97 43 ( ( PUNCT cana-5501 97 44 π‘žπ‘œ π‘žπ‘œ INTJ cana-5501 97 45 β€²β€²β€² β€²β€²β€² VERB cana-5501 97 46 π‘˜ π‘˜ PRON cana-5501 97 47 π‘₯ π‘₯ NOUN cana-5501 97 48 βˆ’ βˆ’ NOUN cana-5501 97 49 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 98 1 βˆ’ βˆ’ PROPN cana-5501 98 2 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 98 3 𝐿 𝐿 PROPN cana-5501 98 4 βˆ’ βˆ’ PROPN cana-5501 98 5 π‘žπ‘œ π‘žπ‘œ INTJ cana-5501 98 6 β€²β€²β€² β€²β€²β€² PROPN cana-5501 98 7 π‘˜ π‘˜ PROPN cana-5501 98 8 𝐿 𝐿 PROPN cana-5501 98 9 2 2 NUM cana-5501 98 10 ) ) PUNCT cana-5501 98 11 ( ( PUNCT cana-5501 98 12 18 18 NUM cana-5501 98 13 ) ) PUNCT cana-5501 98 14 linear linear PROPN cana-5501 98 15 internal internal ADJ cana-5501 98 16 energy energy NOUN cana-5501 98 17 generation generation NOUN cana-5501 98 18 : : PUNCT cana-5501 98 19 𝑄 𝑄 PROPN cana-5501 98 20 = = PUNCT cana-5501 98 21 βˆ’π‘˜π΄ βˆ’π‘˜π΄ NOUN cana-5501 98 22 𝑑𝑇 𝑑𝑇 ADJ cana-5501 98 23 𝑑π‘₯ 𝑑π‘₯ VERB cana-5501 98 24 = = SYM cana-5501 98 25 π‘˜π΄ π‘˜π΄ NOUN cana-5501 98 26 ( ( PUNCT cana-5501 98 27 π‘žπ‘œ π‘žπ‘œ INTJ cana-5501 98 28 β€²β€²β€² β€²β€²β€² PROPN cana-5501 98 29 π‘˜ π‘˜ X cana-5501 98 30 ( ( PUNCT cana-5501 98 31 π‘₯ π‘₯ PRON cana-5501 98 32 βˆ’ βˆ’ PROPN cana-5501 98 33 π‘₯2 π‘₯2 NOUN cana-5501 98 34 2𝐿 2𝐿 NOUN cana-5501 98 35 ) ) PUNCT cana-5501 98 36 βˆ’ βˆ’ ADP cana-5501 98 37 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 99 1 βˆ’ βˆ’ PROPN cana-5501 99 2 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 99 3 𝐿 𝐿 PROPN cana-5501 99 4 βˆ’ βˆ’ PROPN cana-5501 99 5 π‘žπ‘œ π‘žπ‘œ INTJ cana-5501 99 6 β€²β€²β€² β€²β€²β€² PROPN cana-5501 99 7 π‘˜ π‘˜ PROPN cana-5501 99 8 𝐿 𝐿 PROPN cana-5501 99 9 3 3 NUM cana-5501 99 10 ) ) PUNCT cana-5501 99 11 ( ( PUNCT cana-5501 99 12 19 19 NUM cana-5501 99 13 ) ) PUNCT cana-5501 99 14 validation validation NOUN cana-5501 99 15 in in ADP cana-5501 99 16 order order NOUN cana-5501 99 17 to to PART cana-5501 99 18 validate validate VERB cana-5501 99 19 the the DET cana-5501 99 20 wall wall NOUN cana-5501 99 21 temperature temperature NOUN cana-5501 99 22 distribution distribution NOUN cana-5501 99 23 of of ADP cana-5501 99 24 the the DET cana-5501 99 25 present present ADJ cana-5501 99 26 study study NOUN cana-5501 99 27 in in ADP cana-5501 99 28 the the DET cana-5501 99 29 case case NOUN cana-5501 99 30 of of ADP cana-5501 99 31 zero zero NUM cana-5501 99 32 internal internal ADJ cana-5501 99 33 energy energy NOUN cana-5501 99 34 generation generation NOUN cana-5501 99 35 ( ( PUNCT cana-5501 99 36 π‘žβ€²β€²β€² π‘žβ€²β€²β€² NOUN cana-5501 99 37 = = SYM cana-5501 99 38 0 0 NUM cana-5501 99 39 ) ) PUNCT cana-5501 99 40 and and CCONJ cana-5501 99 41 the the DET cana-5501 99 42 surfaces surface NOUN cana-5501 99 43 temperature temperature NOUN cana-5501 99 44 of of ADP cana-5501 99 45 𝑇𝑠1 𝑇𝑠1 NOUN cana-5501 99 46 = = PUNCT cana-5501 100 1 𝑇𝑖 𝑇𝑖 PROPN cana-5501 100 2 and and CCONJ cana-5501 100 3 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 100 4 = = SYM cana-5501 100 5 π‘‡π‘œ π‘‡π‘œ PROPN cana-5501 100 6 , , PUNCT cana-5501 100 7 it it PRON cana-5501 100 8 has have AUX cana-5501 100 9 compared compare VERB cana-5501 100 10 with with ADP cana-5501 100 11 the the DET cana-5501 100 12 temperature temperature NOUN cana-5501 100 13 distribution distribution NOUN cana-5501 100 14 of of ADP cana-5501 100 15 incropera incropera NOUN cana-5501 100 16 et et PROPN cana-5501 100 17 al al PROPN cana-5501 100 18 . . PUNCT cana-5501 101 1 [ [ X cana-5501 101 2 11 11 NUM cana-5501 101 3 ] ] PUNCT cana-5501 101 4 . . PUNCT cana-5501 102 1 the the DET cana-5501 102 2 temperature temperature NOUN cana-5501 102 3 distribution distribution NOUN cana-5501 102 4 of of ADP cana-5501 102 5 incropera incropera NOUN cana-5501 102 6 et et PROPN cana-5501 102 7 al al PROPN cana-5501 102 8 . . PUNCT cana-5501 103 1 [ [ X cana-5501 103 2 11 11 NUM cana-5501 103 3 ] ] PUNCT cana-5501 103 4 is be AUX cana-5501 103 5 as as SCONJ cana-5501 103 6 follows follow VERB cana-5501 103 7 𝑇(π‘₯ 𝑇(π‘₯ PRON cana-5501 103 8 ) ) PUNCT cana-5501 103 9 = = SYM cana-5501 103 10 ( ( PUNCT cana-5501 103 11 𝑇𝑠2 𝑇𝑠2 NOUN cana-5501 103 12 βˆ’ βˆ’ PROPN cana-5501 103 13 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 103 14 𝐿 𝐿 PROPN cana-5501 103 15 ) ) PUNCT cana-5501 103 16 π‘₯ π‘₯ NOUN cana-5501 104 1 + + NUM cana-5501 104 2 𝑇𝑠1 𝑇𝑠1 ADJ cana-5501 104 3 ( ( PUNCT cana-5501 104 4 20 20 NUM cana-5501 104 5 ) ) PUNCT cana-5501 104 6 the the DET cana-5501 104 7 design design NOUN cana-5501 104 8 parameters parameter NOUN cana-5501 104 9 of of ADP cana-5501 104 10 vertical vertical ADJ cana-5501 104 11 wall wall NOUN cana-5501 104 12 are be AUX cana-5501 104 13 given give VERB cana-5501 104 14 in in ADP cana-5501 104 15 table table NOUN cana-5501 104 16 1 1 NUM cana-5501 104 17 . . PUNCT cana-5501 104 18 communications communication NOUN cana-5501 104 19 on on ADP cana-5501 104 20 applied apply VERB cana-5501 104 21 nonlinear nonlinear ADJ cana-5501 104 22 analysis analysis NOUN cana-5501 104 23 issn issn NOUN cana-5501 104 24 : : PUNCT cana-5501 104 25 1074 1074 NUM cana-5501 104 26 - - PUNCT cana-5501 104 27 133x 133x NUM cana-5501 104 28 vol vol VERB cana-5501 104 29 32 32 NUM cana-5501 104 30 no no NOUN cana-5501 104 31 . . PUNCT cana-5501 104 32 10s 10 NOUN cana-5501 104 33 ( ( PUNCT cana-5501 104 34 2025 2025 NUM cana-5501 104 35 ) ) PUNCT cana-5501 104 36 2520 2520 NUM cana-5501 104 37 https://internationalpubls.com https://internationalpubls.com X cana-5501 104 38 table table NOUN cana-5501 104 39 1 1 NUM cana-5501 104 40 . . PUNCT cana-5501 104 41 design design NOUN cana-5501 104 42 parameters parameter NOUN cana-5501 104 43 of of ADP cana-5501 104 44 vertical vertical ADJ cana-5501 104 45 wall wall PROPN cana-5501 104 46 parameter parameter PROPN cana-5501 104 47 value value PROPN cana-5501 104 48 wall wall PROPN cana-5501 104 49 thickness thickness PROPN cana-5501 104 50 𝐿 𝐿 PROPN cana-5501 104 51 = = PROPN cana-5501 104 52 0.01 0.01 NUM cana-5501 104 53 m m NOUN cana-5501 104 54 wall wall PROPN cana-5501 104 55 area area PROPN cana-5501 104 56 𝐴 𝐴 PROPN cana-5501 104 57 = = SYM cana-5501 104 58 1 1 NUM cana-5501 104 59 m2 m2 PROPN cana-5501 104 60 inside inside ADJ cana-5501 104 61 fluid fluid ADJ cana-5501 104 62 temperature temperature NOUN cana-5501 104 63 𝑇𝑖 𝑇𝑖 PROPN cana-5501 104 64 = = NOUN cana-5501 104 65 50 50 NUM cana-5501 104 66 ℃ ℃ PROPN cana-5501 104 67 outside outside ADP cana-5501 104 68 fluid fluid ADJ cana-5501 104 69 temperature temperature NOUN cana-5501 104 70 π‘‡π‘œ π‘‡π‘œ NOUN cana-5501 104 71 = = SYM cana-5501 104 72 25 25 NUM cana-5501 104 73 ℃ ℃ PROPN cana-5501 104 74 wall wall NOUN cana-5501 104 75 conductivity conductivity NOUN cana-5501 104 76 π‘˜ π‘˜ X cana-5501 104 77 = = SYM cana-5501 104 78 0.5 0.5 NUM cana-5501 104 79 w w NOUN cana-5501 104 80 / / SYM cana-5501 104 81 m. m. NOUN cana-5501 104 82 ℃ ℃ PROPN cana-5501 104 83 inside inside ADP cana-5501 104 84 convective convective ADJ cana-5501 104 85 heat heat NOUN cana-5501 104 86 transfer transfer NOUN cana-5501 104 87 coefficient coefficient NOUN cana-5501 104 88 β„Žπ‘– β„Žπ‘– NOUN cana-5501 104 89 = = PUNCT cana-5501 104 90 100 100 NUM cana-5501 104 91 w w PROPN cana-5501 104 92 / / SYM cana-5501 104 93 m m VERB cana-5501 104 94 2 2 NUM cana-5501 104 95 . . PUNCT cana-5501 105 1 ℃ ℃ PROPN cana-5501 105 2 outside outside ADP cana-5501 105 3 convective convective ADJ cana-5501 105 4 heat heat NOUN cana-5501 105 5 transfer transfer NOUN cana-5501 105 6 coefficient coefficient NOUN cana-5501 105 7 β„Žπ‘œ β„Žπ‘œ INTJ cana-5501 105 8 = = SYM cana-5501 105 9 5 5 NUM cana-5501 105 10 w w PROPN cana-5501 105 11 / / SYM cana-5501 105 12 m2 m2 PROPN cana-5501 105 13 . . PUNCT cana-5501 106 1 ℃ ℃ PROPN cana-5501 106 2 the the DET cana-5501 106 3 validation validation NOUN cana-5501 106 4 of of ADP cana-5501 106 5 the the DET cana-5501 106 6 temperature temperature NOUN cana-5501 106 7 is be AUX cana-5501 106 8 shown show VERB cana-5501 106 9 in in ADP cana-5501 106 10 fig fig NOUN cana-5501 106 11 . . PUNCT cana-5501 107 1 4 4 X cana-5501 107 2 . . X cana-5501 107 3 fig fig NOUN cana-5501 107 4 . . PUNCT cana-5501 108 1 4 4 X cana-5501 108 2 . . X cana-5501 108 3 validation validation NOUN cana-5501 108 4 of of ADP cana-5501 108 5 the the DET cana-5501 108 6 temperature temperature NOUN cana-5501 108 7 it it PRON cana-5501 108 8 is be AUX cana-5501 108 9 observed observe VERB cana-5501 108 10 from from ADP cana-5501 108 11 fig fig NOUN cana-5501 108 12 . . PUNCT cana-5501 109 1 4 4 NUM cana-5501 109 2 that that SCONJ cana-5501 109 3 there there PRON cana-5501 109 4 is be VERB cana-5501 109 5 a a DET cana-5501 109 6 good good ADJ cana-5501 109 7 agreement agreement NOUN cana-5501 109 8 between between ADP cana-5501 109 9 the the DET cana-5501 109 10 temperature temperature NOUN cana-5501 109 11 of of ADP cana-5501 109 12 present present ADJ cana-5501 109 13 study study NOUN cana-5501 109 14 and and CCONJ cana-5501 109 15 the the DET cana-5501 109 16 temperature temperature NOUN cana-5501 109 17 of of ADP cana-5501 109 18 incropera incropera NOUN cana-5501 109 19 et et PROPN cana-5501 109 20 al al PROPN cana-5501 109 21 . . PUNCT cana-5501 110 1 [ [ X cana-5501 110 2 11 11 NUM cana-5501 110 3 ] ] PUNCT cana-5501 110 4 . . PUNCT cana-5501 111 1 results result NOUN cana-5501 111 2 and and CCONJ cana-5501 111 3 discussion discussion NOUN cana-5501 111 4 in in ADP cana-5501 111 5 this this DET cana-5501 111 6 section section NOUN cana-5501 111 7 , , PUNCT cana-5501 111 8 the the DET cana-5501 111 9 effect effect NOUN cana-5501 111 10 of of ADP cana-5501 111 11 uniform uniform ADJ cana-5501 111 12 and and CCONJ cana-5501 111 13 linear linear ADJ cana-5501 111 14 internal internal ADJ cana-5501 111 15 energy energy NOUN cana-5501 111 16 generation generation NOUN cana-5501 111 17 on on ADP cana-5501 111 18 the the DET cana-5501 111 19 wall wall NOUN cana-5501 111 20 temperature temperature NOUN cana-5501 111 21 is be AUX cana-5501 111 22 examined examine VERB cana-5501 111 23 . . PUNCT cana-5501 112 1 the the DET cana-5501 112 2 main main ADJ cana-5501 112 3 purpose purpose NOUN cana-5501 112 4 is be AUX cana-5501 112 5 to to PART cana-5501 112 6 create create VERB cana-5501 112 7 perfect perfect ADJ cana-5501 112 8 insulation insulation NOUN cana-5501 112 9 at at ADP cana-5501 112 10 π‘₯ π‘₯ NOUN cana-5501 112 11 = = SYM cana-5501 112 12 0 0 PROPN cana-5501 112 13 . . PUNCT cana-5501 112 14 fig fig NOUN cana-5501 112 15 . . PUNCT cana-5501 113 1 5 5 NUM cana-5501 113 2 shows show VERB cana-5501 113 3 the the DET cana-5501 113 4 wall wall NOUN cana-5501 113 5 temperature temperature NOUN cana-5501 113 6 distribution distribution NOUN cana-5501 113 7 for for ADP cana-5501 113 8 uniform uniform ADJ cana-5501 113 9 and and CCONJ cana-5501 113 10 linear linear ADJ cana-5501 113 11 internal internal ADJ cana-5501 113 12 energy energy NOUN cana-5501 113 13 generation generation NOUN cana-5501 113 14 . . PUNCT cana-5501 114 1 communications communication NOUN cana-5501 114 2 on on ADP cana-5501 114 3 applied apply VERB cana-5501 114 4 nonlinear nonlinear ADJ cana-5501 114 5 analysis analysis NOUN cana-5501 114 6 issn issn NOUN cana-5501 114 7 : : PUNCT cana-5501 114 8 1074 1074 NUM cana-5501 114 9 - - PUNCT cana-5501 114 10 133x 133x NUM cana-5501 114 11 vol vol VERB cana-5501 114 12 32 32 NUM cana-5501 114 13 no no NOUN cana-5501 114 14 . . PUNCT cana-5501 115 1 10s 10 NOUN cana-5501 115 2 ( ( PUNCT cana-5501 115 3 2025 2025 NUM cana-5501 115 4 ) ) PUNCT cana-5501 115 5 2521 2521 NUM cana-5501 115 6 https://internationalpubls.com https://internationalpubls.com X cana-5501 115 7 fig fig NOUN cana-5501 115 8 . . PUNCT cana-5501 116 1 5 5 X cana-5501 116 2 . . X cana-5501 116 3 wall wall NOUN cana-5501 116 4 temperature temperature NOUN cana-5501 116 5 distribution distribution NOUN cana-5501 116 6 for for ADP cana-5501 116 7 uniform uniform ADJ cana-5501 116 8 and and CCONJ cana-5501 116 9 linear linear ADJ cana-5501 116 10 internal internal ADJ cana-5501 116 11 energy energy NOUN cana-5501 116 12 generation generation NOUN cana-5501 116 13 it it PRON cana-5501 116 14 can can AUX cana-5501 116 15 be be AUX cana-5501 116 16 seen see VERB cana-5501 116 17 from from ADP cana-5501 116 18 fig fig NOUN cana-5501 116 19 . . PUNCT cana-5501 117 1 5 5 NUM cana-5501 117 2 that that SCONJ cana-5501 117 3 the the DET cana-5501 117 4 temperature temperature NOUN cana-5501 117 5 gradient gradient NOUN cana-5501 117 6 for for ADP cana-5501 117 7 uniform uniform ADJ cana-5501 117 8 and and CCONJ cana-5501 117 9 linear linear ADJ cana-5501 117 10 internal internal ADJ cana-5501 117 11 energy energy NOUN cana-5501 117 12 generation generation NOUN cana-5501 117 13 is be AUX cana-5501 117 14 zero zero NUM cana-5501 117 15 at at ADP cana-5501 117 16 π‘₯ π‘₯ NOUN cana-5501 117 17 = = SYM cana-5501 117 18 0 0 X cana-5501 117 19 . . PUNCT cana-5501 118 1 in in ADP cana-5501 118 2 other other ADJ cana-5501 118 3 words word NOUN cana-5501 118 4 , , PUNCT cana-5501 118 5 the the DET cana-5501 118 6 condition condition NOUN cana-5501 118 7 of of ADP cana-5501 118 8 perfect perfect ADJ cana-5501 118 9 insulation insulation NOUN cana-5501 118 10 holds hold VERB cana-5501 118 11 at at ADP cana-5501 118 12 location location NOUN cana-5501 118 13 π‘₯ π‘₯ NOUN cana-5501 118 14 = = SYM cana-5501 118 15 0 0 X cana-5501 118 16 . . PUNCT cana-5501 119 1 on on ADP cana-5501 119 2 the the DET cana-5501 119 3 other other ADJ cana-5501 119 4 hand hand NOUN cana-5501 119 5 , , PUNCT cana-5501 119 6 the the DET cana-5501 119 7 wall wall NOUN cana-5501 119 8 temperature temperature NOUN cana-5501 119 9 for for ADP cana-5501 119 10 linear linear PROPN cana-5501 119 11 internal internal ADJ cana-5501 119 12 energy energy NOUN cana-5501 119 13 generation generation NOUN cana-5501 119 14 is be AUX cana-5501 119 15 lower low ADJ cana-5501 119 16 than than ADP cana-5501 119 17 uniform uniform ADJ cana-5501 119 18 internal internal ADJ cana-5501 119 19 energy energy NOUN cana-5501 119 20 generation generation NOUN cana-5501 119 21 . . PUNCT cana-5501 120 1 this this PRON cana-5501 120 2 can can AUX cana-5501 120 3 be be AUX cana-5501 120 4 desirable desirable ADJ cana-5501 120 5 because because SCONJ cana-5501 120 6 it it PRON cana-5501 120 7 costs cost VERB cana-5501 120 8 less less ADJ cana-5501 120 9 to to PART cana-5501 120 10 create create VERB cana-5501 120 11 a a DET cana-5501 120 12 boundary boundary ADJ cana-5501 120 13 condition condition NOUN cana-5501 120 14 of of ADP cana-5501 120 15 perfect perfect ADJ cana-5501 120 16 insulation insulation NOUN cana-5501 120 17 . . PUNCT cana-5501 121 1 it it PRON cana-5501 121 2 can can AUX cana-5501 121 3 be be AUX cana-5501 121 4 concluded conclude VERB cana-5501 121 5 that that SCONJ cana-5501 121 6 linear linear PROPN cana-5501 121 7 internal internal ADJ cana-5501 121 8 energy energy NOUN cana-5501 121 9 generation generation NOUN cana-5501 121 10 is be AUX cana-5501 121 11 better well ADJ cana-5501 121 12 than than ADP cana-5501 121 13 uniform uniform ADJ cana-5501 121 14 internal internal ADJ cana-5501 121 15 energy energy NOUN cana-5501 121 16 generation generation NOUN cana-5501 121 17 because because SCONJ cana-5501 121 18 it it PRON cana-5501 121 19 has have VERB cana-5501 121 20 a a DET cana-5501 121 21 lower low ADJ cana-5501 121 22 production production NOUN cana-5501 121 23 cost cost NOUN cana-5501 121 24 . . PUNCT cana-5501 122 1 fig fig NOUN cana-5501 122 2 . . PUNCT cana-5501 123 1 6 6 NUM cana-5501 123 2 shows show VERB cana-5501 123 3 the the DET cana-5501 123 4 heat heat NOUN cana-5501 123 5 transfer transfer NOUN cana-5501 123 6 rate rate NOUN cana-5501 123 7 in in ADP cana-5501 123 8 the the DET cana-5501 123 9 wall wall NOUN cana-5501 123 10 as as ADP cana-5501 123 11 a a DET cana-5501 123 12 function function NOUN cana-5501 123 13 of of ADP cana-5501 123 14 the the DET cana-5501 123 15 wall wall PROPN cana-5501 123 16 length length PROPN cana-5501 123 17 . . PUNCT cana-5501 124 1 fig fig NOUN cana-5501 124 2 . . PUNCT cana-5501 125 1 6 6 NUM cana-5501 125 2 . . X cana-5501 125 3 heat heat NOUN cana-5501 125 4 transfer transfer NOUN cana-5501 125 5 rate rate NOUN cana-5501 125 6 in in ADP cana-5501 125 7 the the DET cana-5501 125 8 wall wall NOUN cana-5501 125 9 as as ADP cana-5501 125 10 a a DET cana-5501 125 11 function function NOUN cana-5501 125 12 of of ADP cana-5501 125 13 the the DET cana-5501 125 14 wall wall NOUN cana-5501 125 15 length length NOUN cana-5501 125 16 it it PRON cana-5501 125 17 can can AUX cana-5501 125 18 be be AUX cana-5501 125 19 seen see VERB cana-5501 125 20 from from ADP cana-5501 125 21 fig fig NOUN cana-5501 125 22 . . PUNCT cana-5501 126 1 6 6 NUM cana-5501 126 2 that that SCONJ cana-5501 126 3 the the DET cana-5501 126 4 heat heat NOUN cana-5501 126 5 transfer transfer NOUN cana-5501 126 6 rate rate NOUN cana-5501 126 7 is be AUX cana-5501 126 8 higher high ADJ cana-5501 126 9 for for ADP cana-5501 126 10 linear linear PROPN cana-5501 126 11 internal internal ADJ cana-5501 126 12 energy energy NOUN cana-5501 126 13 generation generation NOUN cana-5501 126 14 . . PUNCT cana-5501 127 1 therefore therefore ADV cana-5501 127 2 , , PUNCT cana-5501 127 3 the the DET cana-5501 127 4 wall wall NOUN cana-5501 127 5 temperature temperature NOUN cana-5501 127 6 is be AUX cana-5501 127 7 lower low ADJ cana-5501 127 8 for for ADP cana-5501 127 9 it it PRON cana-5501 127 10 . . PUNCT cana-5501 128 1 this this DET cana-5501 128 2 subject subject NOUN cana-5501 128 3 shows show VERB cana-5501 128 4 that that SCONJ cana-5501 128 5 linear linear VERB cana-5501 128 6 internal internal ADJ cana-5501 128 7 energy energy NOUN cana-5501 128 8 generation generation NOUN cana-5501 128 9 is be AUX cana-5501 128 10 better well ADJ cana-5501 128 11 for for ADP cana-5501 128 12 creating create VERB cana-5501 128 13 perfect perfect ADJ cana-5501 128 14 insulation insulation NOUN cana-5501 128 15 condition condition NOUN cana-5501 128 16 because because SCONJ cana-5501 128 17 it it PRON cana-5501 128 18 results result VERB cana-5501 128 19 in in ADP cana-5501 128 20 lower low ADJ cana-5501 128 21 costs cost NOUN cana-5501 128 22 . . PUNCT cana-5501 129 1 communications communication NOUN cana-5501 129 2 on on ADP cana-5501 129 3 applied apply VERB cana-5501 129 4 nonlinear nonlinear ADJ cana-5501 129 5 analysis analysis NOUN cana-5501 129 6 issn issn NOUN cana-5501 129 7 : : PUNCT cana-5501 129 8 1074 1074 NUM cana-5501 129 9 - - PUNCT cana-5501 129 10 133x 133x NUM cana-5501 129 11 vol vol VERB cana-5501 129 12 32 32 NUM cana-5501 129 13 no no NOUN cana-5501 129 14 . . PUNCT cana-5501 130 1 10s 10 NOUN cana-5501 130 2 ( ( PUNCT cana-5501 130 3 2025 2025 NUM cana-5501 130 4 ) ) PUNCT cana-5501 130 5 2522 2522 NUM cana-5501 130 6 https://internationalpubls.com https://internationalpubls.com X cana-5501 130 7 fig fig NOUN cana-5501 130 8 . . PUNCT cana-5501 131 1 7 7 NUM cana-5501 131 2 shows show VERB cana-5501 131 3 the the DET cana-5501 131 4 contours contours NOUN cana-5501 131 5 of of ADP cana-5501 131 6 the the DET cana-5501 131 7 heat heat NOUN cana-5501 131 8 transfer transfer NOUN cana-5501 131 9 rate rate NOUN cana-5501 131 10 in in ADP cana-5501 131 11 the the DET cana-5501 131 12 wall wall NOUN cana-5501 131 13 for for ADP cana-5501 131 14 different different ADJ cana-5501 131 15 values value NOUN cana-5501 131 16 of of ADP cana-5501 131 17 internal internal ADJ cana-5501 131 18 energy energy NOUN cana-5501 131 19 generation generation NOUN cana-5501 131 20 . . PUNCT cana-5501 132 1 fig fig NOUN cana-5501 132 2 . . PUNCT cana-5501 133 1 7 7 X cana-5501 133 2 . . NUM cana-5501 133 3 contours contours NOUN cana-5501 133 4 of of ADP cana-5501 133 5 the the DET cana-5501 133 6 heat heat NOUN cana-5501 133 7 transfer transfer NOUN cana-5501 133 8 rate rate NOUN cana-5501 133 9 in in ADP cana-5501 133 10 the the DET cana-5501 133 11 wall wall NOUN cana-5501 133 12 for for ADP cana-5501 133 13 different different ADJ cana-5501 133 14 values value NOUN cana-5501 133 15 of of ADP cana-5501 133 16 internal internal ADJ cana-5501 133 17 energy energy NOUN cana-5501 133 18 generation generation NOUN cana-5501 133 19 it it PRON cana-5501 133 20 can can AUX cana-5501 133 21 be be AUX cana-5501 133 22 seen see VERB cana-5501 133 23 from from ADP cana-5501 133 24 fig fig NOUN cana-5501 133 25 . . PUNCT cana-5501 134 1 7 7 NUM cana-5501 134 2 that that SCONJ cana-5501 134 3 the the DET cana-5501 134 4 heat heat NOUN cana-5501 134 5 transfer transfer NOUN cana-5501 134 6 rate rate NOUN cana-5501 134 7 in in ADP cana-5501 134 8 the the DET cana-5501 134 9 wall wall NOUN cana-5501 134 10 for for ADP cana-5501 134 11 unit unit NOUN cana-5501 134 12 internal internal ADJ cana-5501 134 13 energy energy NOUN cana-5501 134 14 generation generation NOUN cana-5501 134 15 is be AUX cana-5501 134 16 zero zero NUM cana-5501 134 17 at at ADP cana-5501 134 18 the the DET cana-5501 134 19 boundary boundary NOUN cana-5501 134 20 π‘₯ π‘₯ PROPN cana-5501 134 21 = = SYM cana-5501 134 22 0 0 NUM cana-5501 134 23 , , PUNCT cana-5501 134 24 or or CCONJ cana-5501 135 1 in in ADP cana-5501 135 2 other other ADJ cana-5501 135 3 words word NOUN cana-5501 135 4 , , PUNCT cana-5501 135 5 the the DET cana-5501 135 6 boundary boundary ADJ cana-5501 135 7 condition condition NOUN cana-5501 135 8 of of ADP cana-5501 135 9 perfect perfect ADJ cana-5501 135 10 insulation insulation NOUN cana-5501 135 11 has have AUX cana-5501 135 12 been be AUX cana-5501 135 13 established establish VERB cana-5501 135 14 . . PUNCT cana-5501 136 1 conclusion conclusion NOUN cana-5501 136 2 in in ADP cana-5501 136 3 conventional conventional ADJ cana-5501 136 4 insulation insulation NOUN cana-5501 136 5 , , PUNCT cana-5501 136 6 there there PRON cana-5501 136 7 is be VERB cana-5501 136 8 always always ADV cana-5501 136 9 some some DET cana-5501 136 10 heat heat NOUN cana-5501 136 11 loss loss NOUN cana-5501 136 12 . . PUNCT cana-5501 137 1 in in ADP cana-5501 137 2 the the DET cana-5501 137 3 present present ADJ cana-5501 137 4 study study NOUN cana-5501 137 5 , , PUNCT cana-5501 137 6 by by ADP cana-5501 137 7 creating create VERB cana-5501 137 8 a a DET cana-5501 137 9 desirable desirable ADJ cana-5501 137 10 internal internal ADJ cana-5501 137 11 energy energy NOUN cana-5501 137 12 generation generation NOUN cana-5501 137 13 in in ADP cana-5501 137 14 the the DET cana-5501 137 15 vertical vertical ADJ cana-5501 137 16 wall wall NOUN cana-5501 137 17 , , PUNCT cana-5501 137 18 the the DET cana-5501 137 19 perfect perfect ADJ cana-5501 137 20 insulation insulation NOUN cana-5501 137 21 boundary boundary ADJ cana-5501 137 22 condition condition NOUN cana-5501 137 23 was be AUX cana-5501 137 24 achieved achieve VERB cana-5501 137 25 . . PUNCT cana-5501 138 1 of of ADP cana-5501 138 2 course course NOUN cana-5501 138 3 , , PUNCT cana-5501 138 4 the the DET cana-5501 138 5 cost cost NOUN cana-5501 138 6 of of ADP cana-5501 138 7 internal internal ADJ cana-5501 138 8 energy energy NOUN cana-5501 138 9 generation generation NOUN cana-5501 138 10 must must AUX cana-5501 138 11 be be AUX cana-5501 138 12 paid pay VERB cana-5501 138 13 . . PUNCT cana-5501 139 1 the the DET cana-5501 139 2 analytical analytical ADJ cana-5501 139 3 results result NOUN cana-5501 139 4 of of ADP cana-5501 139 5 the the DET cana-5501 139 6 present present ADJ cana-5501 139 7 study study NOUN cana-5501 139 8 provide provide VERB cana-5501 139 9 a a DET cana-5501 139 10 general general ADJ cana-5501 139 11 theoretical theoretical ADJ cana-5501 139 12 framework framework NOUN cana-5501 139 13 for for ADP cana-5501 139 14 creating create VERB cana-5501 139 15 the the DET cana-5501 139 16 perfect perfect ADJ cana-5501 139 17 insulation insulation NOUN cana-5501 139 18 boundary boundary ADJ cana-5501 139 19 condition condition NOUN cana-5501 139 20 . . PUNCT cana-5501 140 1 references reference NOUN cana-5501 140 2 1 1 NUM cana-5501 140 3 . . PUNCT cana-5501 140 4 url url PROPN cana-5501 140 5 : : PUNCT cana-5501 141 1 https://www.dreamstime.com/illustration/rock-fish-tank.html https://www.dreamstime.com/illustration/rock-fish-tank.html PROPN cana-5501 141 2 ; ; PUNCT cana-5501 141 3 access access NOUN cana-5501 141 4 : : PUNCT cana-5501 141 5 july july PROPN cana-5501 141 6 2024 2024 NUM cana-5501 141 7 . . PUNCT cana-5501 142 1 2 2 X cana-5501 142 2 . . X cana-5501 142 3 m. m. NOUN cana-5501 142 4 yari yari PROPN cana-5501 142 5 , , PUNCT cana-5501 142 6 r. r. PROPN cana-5501 142 7 kalbasi kalbasi PROPN cana-5501 142 8 , , PUNCT cana-5501 142 9 n. n. PROPN cana-5501 142 10 h. h. PROPN cana-5501 142 11 thi thi PROPN cana-5501 142 12 , , PUNCT cana-5501 142 13 m. m. PROPN cana-5501 142 14 afrand afrand PROPN cana-5501 142 15 , , PUNCT cana-5501 142 16 incorporating incorporate VERB cana-5501 142 17 pcms pcms NOUN cana-5501 142 18 and and CCONJ cana-5501 142 19 thermal thermal ADJ cana-5501 142 20 insulation insulation NOUN cana-5501 142 21 into into ADP cana-5501 142 22 building building NOUN cana-5501 142 23 walls wall NOUN cana-5501 142 24 and and CCONJ cana-5501 142 25 their their PRON cana-5501 142 26 competition competition NOUN cana-5501 142 27 in in ADP cana-5501 142 28 building build VERB cana-5501 142 29 energy energy NOUN cana-5501 142 30 consumption consumption NOUN cana-5501 142 31 reduction reduction NOUN cana-5501 142 32 , , PUNCT cana-5501 142 33 case case NOUN cana-5501 142 34 studies study NOUN cana-5501 142 35 in in ADP cana-5501 142 36 thermal thermal ADJ cana-5501 142 37 engineering engineering NOUN cana-5501 142 38 , , PUNCT cana-5501 142 39 63 63 NUM cana-5501 142 40 , , PUNCT cana-5501 142 41 105398 105398 NUM cana-5501 142 42 , , PUNCT cana-5501 142 43 2024 2024 NUM cana-5501 142 44 . . PUNCT cana-5501 143 1 3 3 X cana-5501 143 2 . . X cana-5501 143 3 m. m. PROPN cana-5501 143 4 b. b. PROPN cana-5501 143 5 janetti janetti PROPN cana-5501 143 6 , , PUNCT cana-5501 143 7 m. m. NOUN cana-5501 143 8 krusharova krusharova PROPN cana-5501 143 9 , , PUNCT cana-5501 143 10 f. f. PROPN cana-5501 143 11 fend fend PROPN cana-5501 143 12 , , PUNCT cana-5501 143 13 k. k. PROPN cana-5501 143 14 langle langle PROPN cana-5501 143 15 , , PUNCT cana-5501 143 16 t. t. PROPN cana-5501 143 17 mathis mathis PROPN cana-5501 143 18 , , PUNCT cana-5501 143 19 thermal thermal ADJ cana-5501 143 20 conductivity conductivity NOUN cana-5501 143 21 of of ADP cana-5501 143 22 biocharclay biocharclay NOUN cana-5501 143 23 composites composite NOUN cana-5501 143 24 for for ADP cana-5501 143 25 the the DET cana-5501 143 26 internal internal ADJ cana-5501 143 27 insulation insulation NOUN cana-5501 143 28 of of ADP cana-5501 143 29 buildings building NOUN cana-5501 143 30 , , PUNCT cana-5501 143 31 case case NOUN cana-5501 143 32 studies study NOUN cana-5501 143 33 in in ADP cana-5501 143 34 construction construction NOUN cana-5501 143 35 materials material NOUN cana-5501 143 36 , , PUNCT cana-5501 143 37 21 21 NUM cana-5501 143 38 , , PUNCT cana-5501 143 39 e04083 e04083 PROPN cana-5501 143 40 , , PUNCT cana-5501 143 41 2024 2024 NUM cana-5501 143 42 . . PUNCT cana-5501 144 1 4 4 NUM cana-5501 144 2 . . X cana-5501 144 3 r. r. PROPN cana-5501 144 4 feng feng PROPN cana-5501 144 5 , , PUNCT cana-5501 144 6 q. q. PROPN cana-5501 144 7 yang yang PROPN cana-5501 144 8 , , PUNCT cana-5501 144 9 h. h. PROPN cana-5501 144 10 dai dai PROPN cana-5501 144 11 , , PUNCT cana-5501 144 12 m. m. PROPN cana-5501 144 13 deng deng PROPN cana-5501 144 14 , , PUNCT cana-5501 144 15 h. h. PROPN cana-5501 144 16 wang wang PROPN cana-5501 144 17 , , PUNCT cana-5501 144 18 c. c. PROPN cana-5501 144 19 hou hou PROPN cana-5501 144 20 , , PUNCT cana-5501 144 21 z. z. PROPN cana-5501 144 22 cheng cheng PROPN cana-5501 144 23 , , PUNCT cana-5501 144 24 h. h. PROPN cana-5501 144 25 gao gao PROPN cana-5501 144 26 , , PUNCT cana-5501 144 27 effect effect NOUN cana-5501 144 28 of of ADP cana-5501 144 29 glass glass NOUN cana-5501 144 30 fiber fiber NOUN cana-5501 144 31 on on ADP cana-5501 144 32 the the DET cana-5501 144 33 mechanical mechanical ADJ cana-5501 144 34 and and CCONJ cana-5501 144 35 thermal thermal ADJ cana-5501 144 36 insulation insulation NOUN cana-5501 144 37 performances performance NOUN cana-5501 144 38 of of ADP cana-5501 144 39 kaolinite kaolinite NOUN cana-5501 144 40 - - PUNCT cana-5501 144 41 based base VERB cana-5501 144 42 thermal thermal ADJ cana-5501 144 43 insulator insulator NOUN cana-5501 144 44 , , PUNCT cana-5501 144 45 case case NOUN cana-5501 144 46 studies study NOUN cana-5501 144 47 in in ADP cana-5501 144 48 construction construction NOUN cana-5501 144 49 materials material NOUN cana-5501 144 50 , , PUNCT cana-5501 144 51 21 21 NUM cana-5501 144 52 , , PUNCT cana-5501 144 53 e03879 e03879 NUM cana-5501 144 54 , , PUNCT cana-5501 144 55 2024 2024 NUM cana-5501 144 56 5 5 NUM cana-5501 144 57 . . PUNCT cana-5501 144 58 j. j. PROPN cana-5501 144 59 yue yue PROPN cana-5501 144 60 , , PUNCT cana-5501 144 61 j. j. PROPN cana-5501 144 62 liu liu PROPN cana-5501 144 63 , , PUNCT cana-5501 144 64 x. x. NOUN cana-5501 144 65 song song PROPN cana-5501 144 66 , , PUNCT cana-5501 144 67 c. c. PROPN cana-5501 144 68 yan yan PROPN cana-5501 144 69 , , PUNCT cana-5501 144 70 research research NOUN cana-5501 144 71 on on ADP cana-5501 144 72 the the DET cana-5501 144 73 design design NOUN cana-5501 144 74 and and CCONJ cana-5501 144 75 thermal thermal ADJ cana-5501 144 76 performance performance NOUN cana-5501 144 77 of of ADP cana-5501 144 78 vacuum vacuum PROPN cana-5501 144 79 insulation insulation PROPN cana-5501 144 80 panel panel PROPN cana-5501 144 81 composite composite ADJ cana-5501 144 82 insulation insulation NOUN cana-5501 144 83 materials material NOUN cana-5501 144 84 , , PUNCT cana-5501 144 85 case case NOUN cana-5501 144 86 studies study NOUN cana-5501 144 87 in in ADP cana-5501 144 88 thermal thermal ADJ cana-5501 144 89 engineering engineering NOUN cana-5501 144 90 , , PUNCT cana-5501 144 91 64 64 NUM cana-5501 144 92 , , PUNCT cana-5501 144 93 105437 105437 NUM cana-5501 144 94 , , PUNCT cana-5501 144 95 2024 2024 NUM cana-5501 144 96 . . PUNCT cana-5501 145 1 communications communication NOUN cana-5501 145 2 on on ADP cana-5501 145 3 applied apply VERB cana-5501 145 4 nonlinear nonlinear ADJ cana-5501 145 5 analysis analysis NOUN cana-5501 145 6 issn issn NOUN cana-5501 145 7 : : PUNCT cana-5501 145 8 1074 1074 NUM cana-5501 145 9 - - PUNCT cana-5501 145 10 133x 133x NUM cana-5501 145 11 vol vol VERB cana-5501 145 12 32 32 NUM cana-5501 145 13 no no NOUN cana-5501 145 14 . . PUNCT cana-5501 146 1 10s 10 NOUN cana-5501 146 2 ( ( PUNCT cana-5501 146 3 2025 2025 NUM cana-5501 146 4 ) ) PUNCT cana-5501 146 5 2523 2523 NUM cana-5501 146 6 https://internationalpubls.com https://internationalpubls.com X cana-5501 146 7 6 6 NUM cana-5501 146 8 . . PUNCT cana-5501 146 9 j. j. PROPN cana-5501 146 10 liang liang PROPN cana-5501 146 11 , , PUNCT cana-5501 146 12 c. c. PROPN cana-5501 146 13 li li PROPN cana-5501 146 14 , , PUNCT cana-5501 146 15 y. y. PROPN cana-5501 146 16 ma ma PROPN cana-5501 146 17 , , PUNCT cana-5501 146 18 x. x. PROPN cana-5501 146 19 liu liu PROPN cana-5501 146 20 , , PUNCT cana-5501 146 21 s. s. PROPN cana-5501 146 22 zhang zhang PROPN cana-5501 146 23 , , PUNCT cana-5501 146 24 z. z. PROPN cana-5501 146 25 zhou zhou PROPN cana-5501 146 26 , , PUNCT cana-5501 146 27 y. y. PROPN cana-5501 146 28 li li PROPN cana-5501 146 29 , , PUNCT cana-5501 146 30 study study VERB cana-5501 146 31 on on ADP cana-5501 146 32 transient transient ADJ cana-5501 146 33 thermal thermal ADJ cana-5501 146 34 performance performance NOUN cana-5501 146 35 of of ADP cana-5501 146 36 coupled couple VERB cana-5501 146 37 vapor vapor NOUN cana-5501 146 38 - - PUNCT cana-5501 146 39 cooled cool VERB cana-5501 146 40 shield shield NOUN cana-5501 146 41 insulation insulation NOUN cana-5501 146 42 for for ADP cana-5501 146 43 liquid liquid ADJ cana-5501 146 44 hydrogen hydrogen NOUN cana-5501 146 45 tank tank NOUN cana-5501 146 46 during during ADP cana-5501 146 47 the the DET cana-5501 146 48 onorbit onorbit NOUN cana-5501 146 49 period period NOUN cana-5501 146 50 , , PUNCT cana-5501 146 51 applied apply VERB cana-5501 146 52 thermal thermal ADJ cana-5501 146 53 engineering engineering NOUN cana-5501 146 54 , , PUNCT cana-5501 146 55 266 266 NUM cana-5501 146 56 , , PUNCT cana-5501 146 57 125665 125665 NUM cana-5501 146 58 , , PUNCT cana-5501 146 59 2025 2025 NUM cana-5501 146 60 . . PUNCT cana-5501 147 1 7 7 X cana-5501 147 2 . . X cana-5501 147 3 k. k. PROPN cana-5501 147 4 wang wang PROPN cana-5501 147 5 , , PUNCT cana-5501 147 6 j. j. PROPN cana-5501 147 7 li li PROPN cana-5501 147 8 , , PUNCT cana-5501 147 9 x. x. PROPN cana-5501 147 10 hu hu PROPN cana-5501 147 11 , , PUNCT cana-5501 147 12 s. s. PROPN cana-5501 147 13 yang yang PROPN cana-5501 147 14 , , PUNCT cana-5501 147 15 c. c. PROPN cana-5501 147 16 zhang zhang PROPN cana-5501 147 17 , , PUNCT cana-5501 147 18 a. a. PROPN cana-5501 147 19 guo guo PROPN cana-5501 147 20 , , PUNCT cana-5501 147 21 h. h. PROPN cana-5501 147 22 du du PROPN cana-5501 147 23 , , PUNCT cana-5501 147 24 validation validation NOUN cana-5501 147 25 of of ADP cana-5501 147 26 heat heat NOUN cana-5501 147 27 transfer transfer NOUN cana-5501 147 28 models model NOUN cana-5501 147 29 and and CCONJ cana-5501 147 30 optimization optimization NOUN cana-5501 147 31 of of ADP cana-5501 147 32 heat heat NOUN cana-5501 147 33 shielding shielding NOUN cana-5501 147 34 performance performance NOUN cana-5501 147 35 of of ADP cana-5501 147 36 high high ADJ cana-5501 147 37 - - PUNCT cana-5501 147 38 temperature temperature NOUN cana-5501 147 39 multilayer multilayer NOUN cana-5501 147 40 insulations insulation NOUN cana-5501 147 41 for for ADP cana-5501 147 42 hypersonic hypersonic ADJ cana-5501 147 43 vehicles vehicle NOUN cana-5501 147 44 , , PUNCT cana-5501 147 45 applied apply VERB cana-5501 147 46 thermal thermal ADJ cana-5501 147 47 engineering engineering NOUN cana-5501 147 48 , , PUNCT cana-5501 147 49 258 258 NUM cana-5501 147 50 , , PUNCT cana-5501 147 51 124840 124840 NUM cana-5501 147 52 , , PUNCT cana-5501 147 53 2025 2025 NUM cana-5501 147 54 . . PUNCT cana-5501 148 1 8 8 NUM cana-5501 148 2 . . PUNCT cana-5501 148 3 z. z. PROPN cana-5501 148 4 zhang zhang PROPN cana-5501 148 5 , , PUNCT cana-5501 148 6 b. b. PROPN cana-5501 148 7 song song PROPN cana-5501 148 8 , , PUNCT cana-5501 148 9 l. l. PROPN cana-5501 148 10 zhang zhang PROPN cana-5501 148 11 , , PUNCT cana-5501 148 12 r. r. PROPN cana-5501 148 13 fang fang PROPN cana-5501 148 14 , , PUNCT cana-5501 148 15 x. x. PROPN cana-5501 148 16 wang wang PROPN cana-5501 148 17 , , PUNCT cana-5501 148 18 y. y. PROPN cana-5501 148 19 yao yao PROPN cana-5501 148 20 , , PUNCT cana-5501 148 21 g. g. PROPN cana-5501 148 22 wu wu PROPN cana-5501 148 23 , , PUNCT cana-5501 148 24 q. q. PROPN cana-5501 148 25 li li PROPN cana-5501 148 26 , , PUNCT cana-5501 148 27 y. y. PROPN cana-5501 148 28 shi shi PROPN cana-5501 148 29 , , PUNCT cana-5501 148 30 a a DET cana-5501 148 31 node node NOUN cana-5501 148 32 optimized optimize VERB cana-5501 148 33 metamaterial metamaterial NOUN cana-5501 148 34 with with ADP cana-5501 148 35 high high ADJ cana-5501 148 36 mechanical mechanical ADJ cana-5501 148 37 properties property NOUN cana-5501 148 38 and and CCONJ cana-5501 148 39 heat heat NOUN cana-5501 148 40 insulation insulation NOUN cana-5501 148 41 , , PUNCT cana-5501 148 42 international international ADJ cana-5501 148 43 journal journal NOUN cana-5501 148 44 of of ADP cana-5501 148 45 mechanical mechanical ADJ cana-5501 148 46 sciences science NOUN cana-5501 148 47 , , PUNCT cana-5501 148 48 286 286 NUM cana-5501 148 49 , , PUNCT cana-5501 148 50 109907 109907 NUM cana-5501 148 51 , , PUNCT cana-5501 148 52 2025 2025 NUM cana-5501 148 53 . . PUNCT cana-5501 149 1 9 9 NUM cana-5501 149 2 . . X cana-5501 149 3 y. y. PROPN cana-5501 149 4 yu yu PROPN cana-5501 149 5 , , PUNCT cana-5501 149 6 f. f. PROPN cana-5501 149 7 xie xie PROPN cana-5501 149 8 , , PUNCT cana-5501 149 9 m. m. PROPN cana-5501 149 10 zhu zhu PROPN cana-5501 149 11 , , PUNCT cana-5501 149 12 y. y. PROPN cana-5501 149 13 li li PROPN cana-5501 149 14 , , PUNCT cana-5501 149 15 feasible feasible ADJ cana-5501 149 16 analysis analysis NOUN cana-5501 149 17 of of ADP cana-5501 149 18 a a DET cana-5501 149 19 new new ADJ cana-5501 149 20 - - PUNCT cana-5501 149 21 type type NOUN cana-5501 149 22 insulation insulation NOUN cana-5501 149 23 scheme scheme NOUN cana-5501 149 24 with with ADP cana-5501 149 25 gas gas NOUN cana-5501 149 26 recovery recovery NOUN cana-5501 149 27 for for ADP cana-5501 149 28 large large ADJ cana-5501 149 29 liquid liquid ADJ cana-5501 149 30 hydrogen hydrogen NOUN cana-5501 149 31 tanks tank NOUN cana-5501 149 32 , , PUNCT cana-5501 149 33 fuel fuel NOUN cana-5501 149 34 , , PUNCT cana-5501 149 35 382 382 NUM cana-5501 149 36 , , PUNCT cana-5501 149 37 133633 133633 NUM cana-5501 149 38 , , PUNCT cana-5501 149 39 2025 2025 NUM cana-5501 149 40 . . PUNCT cana-5501 150 1 10 10 NUM cana-5501 150 2 . . PUNCT cana-5501 151 1 p. p. NOUN cana-5501 151 2 pagoni pagoni PROPN cana-5501 151 3 , , PUNCT cana-5501 151 4 e. e. PROPN cana-5501 151 5 b. b. PROPN cana-5501 151 6 mΓΈller mΓΈller PROPN cana-5501 151 7 , , PUNCT cana-5501 151 8 r. r. PROPN cana-5501 151 9 h. h. PROPN cana-5501 151 10 peuhkuri peuhkuri PROPN cana-5501 151 11 , , PUNCT cana-5501 151 12 n. n. PROPN cana-5501 151 13 f. f. PROPN cana-5501 151 14 jensen jensen PROPN cana-5501 151 15 , , PUNCT cana-5501 151 16 evaluation evaluation NOUN cana-5501 151 17 of of ADP cana-5501 151 18 the the DET cana-5501 151 19 performance performance NOUN cana-5501 151 20 of of ADP cana-5501 151 21 different different ADJ cana-5501 151 22 internal internal ADJ cana-5501 151 23 insulation insulation NOUN cana-5501 151 24 systems system NOUN cana-5501 151 25 in in ADP cana-5501 151 26 real real ADJ cana-5501 151 27 - - PUNCT cana-5501 151 28 life life NOUN cana-5501 151 29 conditions condition NOUN cana-5501 151 30 a a DET cana-5501 151 31 case case NOUN cana-5501 151 32 study study NOUN cana-5501 151 33 , , PUNCT cana-5501 151 34 building building NOUN cana-5501 151 35 and and CCONJ cana-5501 151 36 environment environment NOUN cana-5501 151 37 , , PUNCT cana-5501 151 38 267 267 NUM cana-5501 151 39 , , PUNCT cana-5501 151 40 112319 112319 NUM cana-5501 151 41 , , PUNCT cana-5501 151 42 2025 2025 NUM cana-5501 151 43 . . PUNCT cana-5501 152 1 11 11 NUM cana-5501 152 2 . . PUNCT cana-5501 153 1 f. f. PROPN cana-5501 153 2 p. p. PROPN cana-5501 153 3 incropera incropera PROPN cana-5501 153 4 , , PUNCT cana-5501 154 1 d. d. PROPN cana-5501 154 2 p. p. PROPN cana-5501 154 3 dewitt dewitt PROPN cana-5501 154 4 , , PUNCT cana-5501 154 5 t. t. PROPN cana-5501 154 6 l. l. PROPN cana-5501 154 7 bergman bergman PROPN cana-5501 154 8 , , PUNCT cana-5501 154 9 a. a. PROPN cana-5501 154 10 s. s. PROPN cana-5501 154 11 lavine lavine PROPN cana-5501 154 12 , , PUNCT cana-5501 154 13 fundamentals fundamental NOUN cana-5501 154 14 of of ADP cana-5501 154 15 heat heat NOUN cana-5501 154 16 and and CCONJ cana-5501 154 17 mass mass NOUN cana-5501 154 18 transfer transfer NOUN cana-5501 154 19 , , PUNCT cana-5501 154 20 6th 6th ADJ cana-5501 154 21 edition edition NOUN cana-5501 154 22 , , PUNCT cana-5501 154 23 john john PROPN cana-5501 154 24 wiley wiley PROPN cana-5501 154 25 & & CCONJ cana-5501 154 26 sons son NOUN cana-5501 154 27 , , PUNCT cana-5501 154 28 2006 2006 NUM cana-5501 154 29 . . PUNCT