id sid tid token lemma pos iogr-430 1 1 copyright copyright NOUN iogr-430 1 2 Β© Β© ADP iogr-430 1 3 the the DET iogr-430 1 4 author(s author(s NOUN iogr-430 1 5 ) ) PUNCT iogr-430 1 6 . . PUNCT iogr-430 2 1 this this DET iogr-430 2 2 work work NOUN iogr-430 2 3 is be AUX iogr-430 2 4 licensed license VERB iogr-430 2 5 under under ADP iogr-430 2 6 a a DET iogr-430 2 7 creative creative ADJ iogr-430 2 8 commons common NOUN iogr-430 2 9 attribution attribution NOUN iogr-430 2 10 4.0 4.0 NUM iogr-430 2 11 international international ADJ iogr-430 2 12 license license NOUN iogr-430 2 13 . . PUNCT iogr-430 3 1 doi doi NOUN iogr-430 3 2 : : PUNCT iogr-430 3 3 10.14800 10.14800 NUM iogr-430 3 4 / / SYM iogr-430 3 5 iogr.430 iogr.430 PROPN iogr-430 3 6 received receive VERB iogr-430 3 7 september september PROPN iogr-430 3 8 1 1 NUM iogr-430 3 9 , , PUNCT iogr-430 3 10 2019 2019 NUM iogr-430 3 11 ; ; PUNCT iogr-430 3 12 revised revise VERB iogr-430 3 13 october october PROPN iogr-430 3 14 12 12 NUM iogr-430 3 15 , , PUNCT iogr-430 3 16 2019 2019 NUM iogr-430 3 17 ; ; PUNCT iogr-430 3 18 accepted accept VERB iogr-430 3 19 october october PROPN iogr-430 3 20 20 20 NUM iogr-430 3 21 , , PUNCT iogr-430 3 22 2019 2019 NUM iogr-430 3 23 . . PUNCT iogr-430 4 1 * * PUNCT iogr-430 4 2 corresponding correspond VERB iogr-430 4 3 author author NOUN iogr-430 4 4 : : PUNCT iogr-430 4 5 neogi@mst.edu neogi@mst.edu VERB iogr-430 4 6 1 1 NUM iogr-430 4 7 extraction extraction NOUN iogr-430 4 8 rate rate NOUN iogr-430 4 9 in in ADP iogr-430 4 10 vapor vapor NOUN iogr-430 4 11 assisted assist VERB iogr-430 4 12 extraction extraction NOUN iogr-430 4 13 of of ADP iogr-430 4 14 heavy heavy ADJ iogr-430 4 15 oil oil NOUN iogr-430 4 16 ( ( PUNCT iogr-430 4 17 vapex vapex PROPN iogr-430 4 18 ) ) PUNCT iogr-430 4 19 vijitha vijitha PROPN iogr-430 4 20 mohan mohan PROPN iogr-430 4 21 and and CCONJ iogr-430 4 22 parthasakha parthasakha PROPN iogr-430 4 23 neogi neogi PROPN iogr-430 4 24 * * PROPN iogr-430 4 25 , , PUNCT iogr-430 4 26 missouri missouri PROPN iogr-430 4 27 university university PROPN iogr-430 4 28 of of ADP iogr-430 4 29 science science NOUN iogr-430 4 30 and and CCONJ iogr-430 4 31 technology technology NOUN iogr-430 4 32 , , PUNCT iogr-430 4 33 rolla rolla PROPN iogr-430 4 34 , , PUNCT iogr-430 4 35 usa usa PROPN iogr-430 4 36 abstract abstract ADJ iogr-430 4 37 heavy heavy ADJ iogr-430 4 38 oil oil NOUN iogr-430 4 39 recovery recovery NOUN iogr-430 4 40 requires require VERB iogr-430 4 41 either either CCONJ iogr-430 4 42 heat heat NOUN iogr-430 4 43 ( ( PUNCT iogr-430 4 44 sagd sagd PROPN iogr-430 4 45 ) ) PUNCT iogr-430 4 46 or or CCONJ iogr-430 4 47 a a DET iogr-430 4 48 solvent solvent NOUN iogr-430 4 49 ( ( PUNCT iogr-430 4 50 vapex vapex ADJ iogr-430 4 51 ) ) PUNCT iogr-430 4 52 to to PART iogr-430 4 53 reduce reduce VERB iogr-430 4 54 its its PRON iogr-430 4 55 high high ADJ iogr-430 4 56 viscosity viscosity NOUN iogr-430 4 57 first first ADV iogr-430 4 58 and and CCONJ iogr-430 4 59 then then ADV iogr-430 4 60 the the DET iogr-430 4 61 less less ADV iogr-430 4 62 viscous viscous ADJ iogr-430 4 63 oil oil NOUN iogr-430 4 64 can can AUX iogr-430 4 65 be be AUX iogr-430 4 66 recovered recover VERB iogr-430 4 67 . . PUNCT iogr-430 5 1 we we PRON iogr-430 5 2 show show VERB iogr-430 5 3 here here ADV iogr-430 5 4 that that SCONJ iogr-430 5 5 the the DET iogr-430 5 6 existing exist VERB iogr-430 5 7 data datum NOUN iogr-430 5 8 , , PUNCT iogr-430 5 9 on on ADP iogr-430 5 10 the the DET iogr-430 5 11 rate rate NOUN iogr-430 5 12 of of ADP iogr-430 5 13 oil oil NOUN iogr-430 5 14 recovered recover VERB iogr-430 5 15 in in ADP iogr-430 5 16 vapex vapex ADJ iogr-430 5 17 process process NOUN iogr-430 5 18 in in ADP iogr-430 5 19 sandpacks sandpack NOUN iogr-430 5 20 show show VERB iogr-430 5 21 a a DET iogr-430 5 22 square square ADJ iogr-430 5 23 root root NOUN iogr-430 5 24 dependence dependence NOUN iogr-430 5 25 on on ADP iogr-430 5 26 the the DET iogr-430 5 27 height height NOUN iogr-430 5 28 of of ADP iogr-430 5 29 pay pay NOUN iogr-430 5 30 zone zone NOUN iogr-430 5 31 , , PUNCT iogr-430 5 32 following follow VERB iogr-430 5 33 expectation expectation NOUN iogr-430 5 34 . . PUNCT iogr-430 6 1 this this DET iogr-430 6 2 dependence dependence NOUN iogr-430 6 3 had have AUX iogr-430 6 4 remained remain VERB iogr-430 6 5 uncertain uncertain ADJ iogr-430 6 6 and and CCONJ iogr-430 6 7 is be AUX iogr-430 6 8 of of ADP iogr-430 6 9 importance importance NOUN iogr-430 6 10 in in ADP iogr-430 6 11 oil oil NOUN iogr-430 6 12 field field NOUN iogr-430 6 13 operations operation NOUN iogr-430 6 14 . . PUNCT iogr-430 7 1 we we PRON iogr-430 7 2 have have AUX iogr-430 7 3 used use VERB iogr-430 7 4 dimensional dimensional ADJ iogr-430 7 5 analysis analysis NOUN iogr-430 7 6 and and CCONJ iogr-430 7 7 inverse inverse NOUN iogr-430 7 8 viscosity viscosity NOUN iogr-430 7 9 - - PUNCT iogr-430 7 10 diffusivity diffusivity NOUN iogr-430 7 11 dependence dependence NOUN iogr-430 7 12 to to PART iogr-430 7 13 obtain obtain VERB iogr-430 7 14 an an DET iogr-430 7 15 expression expression NOUN iogr-430 7 16 for for ADP iogr-430 7 17 the the DET iogr-430 7 18 rate rate NOUN iogr-430 7 19 that that PRON iogr-430 7 20 agrees agree VERB iogr-430 7 21 well well ADV iogr-430 7 22 with with ADP iogr-430 7 23 the the DET iogr-430 7 24 available available ADJ iogr-430 7 25 sandpack sandpack PROPN iogr-430 7 26 data datum NOUN iogr-430 7 27 . . PUNCT iogr-430 8 1 the the DET iogr-430 8 2 dimensional dimensional ADJ iogr-430 8 3 analysis analysis NOUN iogr-430 8 4 overcomes overcome VERB iogr-430 8 5 the the DET iogr-430 8 6 uncertainty uncertainty NOUN iogr-430 8 7 in in ADP iogr-430 8 8 the the DET iogr-430 8 9 number number NOUN iogr-430 8 10 of of ADP iogr-430 8 11 independent independent ADJ iogr-430 8 12 variables variable NOUN iogr-430 8 13 and and CCONJ iogr-430 8 14 leads lead VERB iogr-430 8 15 to to ADP iogr-430 8 16 standard standard ADJ iogr-430 8 17 dimensionless dimensionless NOUN iogr-430 8 18 groups group NOUN iogr-430 8 19 . . PUNCT iogr-430 9 1 the the DET iogr-430 9 2 inverse inverse ADJ iogr-430 9 3 dependence dependence NOUN iogr-430 9 4 is be AUX iogr-430 9 5 based base VERB iogr-430 9 6 on on ADP iogr-430 9 7 the the DET iogr-430 9 8 free free ADJ iogr-430 9 9 volume volume NOUN iogr-430 9 10 theory theory NOUN iogr-430 9 11 which which PRON iogr-430 9 12 we we PRON iogr-430 9 13 have have AUX iogr-430 9 14 tested test VERB iogr-430 9 15 earlier early ADV iogr-430 9 16 successfully successfully ADV iogr-430 9 17 for for ADP iogr-430 9 18 heavy heavy ADJ iogr-430 9 19 oils oil NOUN iogr-430 9 20 . . PUNCT iogr-430 10 1 the the DET iogr-430 10 2 final final ADJ iogr-430 10 3 correlation correlation NOUN iogr-430 10 4 is be AUX iogr-430 10 5 shown show VERB iogr-430 10 6 to to PART iogr-430 10 7 work work VERB iogr-430 10 8 well well ADV iogr-430 10 9 in in ADP iogr-430 10 10 the the DET iogr-430 10 11 limit limit NOUN iogr-430 10 12 where where SCONJ iogr-430 10 13 we we PRON iogr-430 10 14 go go VERB iogr-430 10 15 from from ADP iogr-430 10 16 sandpacks sandpack NOUN iogr-430 10 17 to to ADP iogr-430 10 18 reservoir reservoir PROPN iogr-430 10 19 . . PUNCT iogr-430 11 1 introduction introduction NOUN iogr-430 11 2 highly highly ADV iogr-430 11 3 viscous viscous ADJ iogr-430 11 4 heavy heavy ADJ iogr-430 11 5 oil oil NOUN iogr-430 11 6 ( ( PUNCT iogr-430 11 7 above above ADP iogr-430 11 8 100 100 NUM iogr-430 11 9 mpa.s mpa. NOUN iogr-430 11 10 ) ) PUNCT iogr-430 11 11 can can AUX iogr-430 11 12 not not PART iogr-430 11 13 be be AUX iogr-430 11 14 recovered recover VERB iogr-430 11 15 from from ADP iogr-430 11 16 underground underground ADJ iogr-430 11 17 reservoirs reservoir NOUN iogr-430 11 18 without without ADP iogr-430 11 19 the the DET iogr-430 11 20 aid aid NOUN iogr-430 11 21 of of ADP iogr-430 11 22 an an DET iogr-430 11 23 external external ADJ iogr-430 11 24 resource resource NOUN iogr-430 11 25 like like ADP iogr-430 11 26 heat heat NOUN iogr-430 11 27 or or CCONJ iogr-430 11 28 solvents solvent NOUN iogr-430 11 29 , , PUNCT iogr-430 11 30 which which PRON iogr-430 11 31 reduces reduce VERB iogr-430 11 32 its its PRON iogr-430 11 33 viscosity viscosity NOUN iogr-430 11 34 before before ADP iogr-430 11 35 recovery recovery NOUN iogr-430 11 36 . . PUNCT iogr-430 12 1 steam steam NOUN iogr-430 12 2 assisted assist VERB iogr-430 12 3 gravity gravity NOUN iogr-430 12 4 drainage drainage NOUN iogr-430 12 5 ( ( PUNCT iogr-430 12 6 sagd sagd PROPN iogr-430 12 7 ) ) PUNCT iogr-430 12 8 process process NOUN iogr-430 12 9 is be AUX iogr-430 12 10 a a DET iogr-430 12 11 thermal thermal ADJ iogr-430 12 12 process process NOUN iogr-430 12 13 where where SCONJ iogr-430 12 14 steam steam NOUN iogr-430 12 15 is be AUX iogr-430 12 16 used use VERB iogr-430 12 17 as as ADP iogr-430 12 18 a a DET iogr-430 12 19 heat heat NOUN iogr-430 12 20 source source NOUN iogr-430 12 21 to to PART iogr-430 12 22 heat heat VERB iogr-430 12 23 up up ADP iogr-430 12 24 the the DET iogr-430 12 25 heavy heavy ADJ iogr-430 12 26 oil oil NOUN iogr-430 12 27 , , PUNCT iogr-430 12 28 reducing reduce VERB iogr-430 12 29 the the DET iogr-430 12 30 viscosity viscosity NOUN iogr-430 12 31 to to ADP iogr-430 12 32 ~5 ~5 NOUN iogr-430 12 33 - - SYM iogr-430 12 34 10 10 NUM iogr-430 12 35 mpa.s mpa. NOUN iogr-430 12 36 . . PUNCT iogr-430 13 1 the the DET iogr-430 13 2 less less ADV iogr-430 13 3 viscous viscous ADJ iogr-430 13 4 oil oil NOUN iogr-430 13 5 flows flow NOUN iogr-430 13 6 under under ADP iogr-430 13 7 gravity gravity NOUN iogr-430 13 8 to to ADP iogr-430 13 9 the the DET iogr-430 13 10 drainage drainage NOUN iogr-430 13 11 well well ADV iogr-430 13 12 . . PUNCT iogr-430 14 1 the the DET iogr-430 14 2 alternate alternate NOUN iogr-430 14 3 , , PUNCT iogr-430 14 4 which which PRON iogr-430 14 5 requires require VERB iogr-430 14 6 no no DET iogr-430 14 7 water water NOUN iogr-430 14 8 , , PUNCT iogr-430 14 9 is be AUX iogr-430 14 10 the the DET iogr-430 14 11 vapor vapor NOUN iogr-430 14 12 assisted assist VERB iogr-430 14 13 petroleum petroleum NOUN iogr-430 14 14 extraction extraction NOUN iogr-430 14 15 ( ( PUNCT iogr-430 14 16 vapex vapex ADJ iogr-430 14 17 ) ) PUNCT iogr-430 14 18 process process NOUN iogr-430 14 19 that that PRON iogr-430 14 20 uses use VERB iogr-430 14 21 gases gas NOUN iogr-430 14 22 ( ( PUNCT iogr-430 14 23 above above ADP iogr-430 14 24 critical critical ADJ iogr-430 14 25 temperature temperature NOUN iogr-430 14 26 ) ) PUNCT iogr-430 14 27 or or CCONJ iogr-430 14 28 vapors vapor NOUN iogr-430 14 29 ( ( PUNCT iogr-430 14 30 below below ADP iogr-430 14 31 critical critical ADJ iogr-430 14 32 temperature temperature NOUN iogr-430 14 33 ) ) PUNCT iogr-430 14 34 which which PRON iogr-430 14 35 form form VERB iogr-430 14 36 a a DET iogr-430 14 37 part part NOUN iogr-430 14 38 of of ADP iogr-430 14 39 products product NOUN iogr-430 14 40 on on ADP iogr-430 14 41 condensation condensation NOUN iogr-430 14 42 . . PUNCT iogr-430 15 1 they they PRON iogr-430 15 2 dissolve dissolve VERB iogr-430 15 3 in in ADP iogr-430 15 4 the the DET iogr-430 15 5 oil oil NOUN iogr-430 15 6 at at ADP iogr-430 15 7 the the DET iogr-430 15 8 interface interface NOUN iogr-430 15 9 and and CCONJ iogr-430 15 10 diffuse diffuse VERB iogr-430 15 11 into into ADP iogr-430 15 12 the the DET iogr-430 15 13 bulk bulk NOUN iogr-430 15 14 . . PUNCT iogr-430 16 1 in in ADP iogr-430 16 2 the the DET iogr-430 16 3 process process NOUN iogr-430 16 4 , , PUNCT iogr-430 16 5 the the DET iogr-430 16 6 viscosity viscosity NOUN iogr-430 16 7 of of ADP iogr-430 16 8 the the DET iogr-430 16 9 solution solution NOUN iogr-430 16 10 is be AUX iogr-430 16 11 brought bring VERB iogr-430 16 12 down down ADP iogr-430 16 13 and and CCONJ iogr-430 16 14 it it PRON iogr-430 16 15 drains drain VERB iogr-430 16 16 under under ADP iogr-430 16 17 gravity gravity NOUN iogr-430 16 18 ( ( PUNCT iogr-430 16 19 banerjee banerjee PROPN iogr-430 16 20 2012 2012 NUM iogr-430 16 21 ) ) PUNCT iogr-430 16 22 . . PUNCT iogr-430 17 1 the the DET iogr-430 17 2 rate rate NOUN iogr-430 17 3 of of ADP iogr-430 17 4 oil oil NOUN iogr-430 17 5 recovery recovery NOUN iogr-430 17 6 that that PRON iogr-430 17 7 has have AUX iogr-430 17 8 been be AUX iogr-430 17 9 predicted predict VERB iogr-430 17 10 by by ADP iogr-430 17 11 theory theory NOUN iogr-430 17 12 , , PUNCT iogr-430 17 13 is be AUX iogr-430 17 14 not not PART iogr-430 17 15 fully fully ADV iogr-430 17 16 backed back VERB iogr-430 17 17 by by ADP iogr-430 17 18 the the DET iogr-430 17 19 experimental experimental ADJ iogr-430 17 20 data datum NOUN iogr-430 17 21 . . PUNCT iogr-430 18 1 specifically specifically ADV iogr-430 18 2 , , PUNCT iogr-430 18 3 it it PRON iogr-430 18 4 is be AUX iogr-430 18 5 the the DET iogr-430 18 6 role role NOUN iogr-430 18 7 of of ADP iogr-430 18 8 h h NOUN iogr-430 18 9 , , PUNCT iogr-430 18 10 the the DET iogr-430 18 11 height height NOUN iogr-430 18 12 of of ADP iogr-430 18 13 the the DET iogr-430 18 14 pay pay NOUN iogr-430 18 15 zone zone NOUN iogr-430 18 16 , , PUNCT iogr-430 18 17 which which PRON iogr-430 18 18 does do AUX iogr-430 18 19 not not PART iogr-430 18 20 appear appear VERB iogr-430 18 21 to to PART iogr-430 18 22 conform conform VERB iogr-430 18 23 to to ADP iogr-430 18 24 any any DET iogr-430 18 25 pattern pattern NOUN iogr-430 18 26 . . PUNCT iogr-430 19 1 the the DET iogr-430 19 2 results result NOUN iogr-430 19 3 by by ADP iogr-430 19 4 mokrys mokry NOUN iogr-430 19 5 and and CCONJ iogr-430 19 6 butler butler NOUN iogr-430 19 7 ( ( PUNCT iogr-430 19 8 1993 1993 NUM iogr-430 19 9 ) ) PUNCT iogr-430 19 10 provides provide VERB iogr-430 19 11 the the DET iogr-430 19 12 recovery recovery NOUN iogr-430 19 13 rate rate NOUN iogr-430 19 14 , , PUNCT iogr-430 19 15 𝑄𝑏 𝑄𝑏 PROPN iogr-430 19 16 = = PUNCT iogr-430 19 17 √2π‘˜π‘”πœ™Ξ΄π‘†π‘œβ„Žπ‘π‘  √2π‘˜π‘”πœ™Ξ΄π‘†π‘œβ„Žπ‘π‘  NOUN iogr-430 19 18 , , PUNCT iogr-430 19 19 … … PUNCT iogr-430 19 20 … … PUNCT iogr-430 19 21 … … PUNCT iogr-430 19 22 … … PUNCT iogr-430 19 23 … … SYM iogr-430 19 24 . . NUM iogr-430 19 25 … … PUNCT iogr-430 19 26 … … PUNCT iogr-430 19 27 … … PUNCT iogr-430 19 28 … … SYM iogr-430 19 29 . . NUM iogr-430 19 30 … … PUNCT iogr-430 19 31 … … PUNCT iogr-430 19 32 … … PUNCT iogr-430 19 33 .. .. PUNCT iogr-430 19 34 … … PUNCT iogr-430 19 35 … … PUNCT iogr-430 19 36 … … PUNCT iogr-430 19 37 … … PUNCT iogr-430 19 38 … … PUNCT iogr-430 19 39 … … PUNCT iogr-430 19 40 … … PUNCT iogr-430 19 41 … … PUNCT iogr-430 19 42 … … PUNCT iogr-430 19 43 … … PUNCT iogr-430 19 44 … … PUNCT iogr-430 19 45 … … PUNCT iogr-430 19 46 … … PUNCT iogr-430 19 47 … … PUNCT iogr-430 19 48 … … PUNCT iogr-430 19 49 … … PUNCT iogr-430 19 50 … … SYM iogr-430 19 51 . . NUM iogr-430 19 52 … … PUNCT iogr-430 19 53 … … PUNCT iogr-430 19 54 .. .. PUNCT iogr-430 19 55 (1 (1 X iogr-430 19 56 ) ) PUNCT iogr-430 19 57 in in ADP iogr-430 19 58 m3/(m m3/(m PROPN iogr-430 19 59 - - NOUN iogr-430 19 60 width.s width.s NOUN iogr-430 19 61 ) ) PUNCT iogr-430 19 62 , , PUNCT iogr-430 19 63 where where SCONJ iogr-430 19 64 Ξ΄π‘†π‘œ Ξ΄π‘†π‘œ NOUN iogr-430 19 65 is be AUX iogr-430 19 66 the the DET iogr-430 19 67 difference difference NOUN iogr-430 19 68 between between ADP iogr-430 19 69 the the DET iogr-430 19 70 fractional fractional ADJ iogr-430 19 71 pore pore ADJ iogr-430 19 72 volume volume NOUN iogr-430 19 73 containing contain VERB iogr-430 19 74 oil oil NOUN iogr-430 19 75 before before ADV iogr-430 19 76 and and CCONJ iogr-430 19 77 after after ADP iogr-430 19 78 displacement displacement NOUN iogr-430 19 79 . . PUNCT iogr-430 20 1 for for ADP iogr-430 20 2 perfect perfect ADJ iogr-430 20 3 displacement displacement NOUN iogr-430 20 4 , , PUNCT iogr-430 20 5 Ξ΄π‘†π‘œ Ξ΄π‘†π‘œ X iogr-430 20 6 = = NOUN iogr-430 20 7 1 1 X iogr-430 20 8 . . PUNCT iogr-430 21 1 others other NOUN iogr-430 21 2 parameters parameter NOUN iogr-430 21 3 in in ADP iogr-430 21 4 the the DET iogr-430 21 5 eq eq NOUN iogr-430 21 6 . . PROPN iogr-430 21 7 1 1 NUM iogr-430 21 8 are be AUX iogr-430 21 9 permeability permeability NOUN iogr-430 21 10 k k NOUN iogr-430 21 11 , , PUNCT iogr-430 21 12 acceleration acceleration NOUN iogr-430 21 13 due due ADP iogr-430 21 14 to to ADP iogr-430 21 15 gravity gravity NOUN iogr-430 21 16 g g NOUN iogr-430 21 17 , , PUNCT iogr-430 21 18 and and CCONJ iogr-430 21 19 porosity porosity NOUN iogr-430 21 20 πœ™. πœ™. NOUN iogr-430 21 21 ns ns NUM iogr-430 21 22 is be AUX iogr-430 21 23 defined define VERB iogr-430 21 24 as as ADP iogr-430 21 25 , , PUNCT iogr-430 21 26 𝑁𝑠 𝑁𝑠 PROPN iogr-430 21 27 = = SYM iogr-430 21 28 ∫ ∫ PROPN iogr-430 21 29 δ𝜌𝐷(1βˆ’πœ‘ δ𝜌𝐷(1βˆ’πœ‘ CCONJ iogr-430 21 30 ) ) PUNCT iogr-430 21 31 πœ‡ πœ‡ ADP iogr-430 21 32 π‘‘π‘™π‘›πœ‘ π‘‘π‘™π‘›πœ‘ NOUN iogr-430 21 33 1 1 NUM iogr-430 21 34 πœ‘π‘šπ‘–π‘› πœ‘π‘šπ‘–π‘› NOUN iogr-430 21 35 , , PUNCT iogr-430 21 36 … … PUNCT iogr-430 21 37 … … PUNCT iogr-430 21 38 … … PUNCT iogr-430 21 39 … … PUNCT iogr-430 21 40 … … PUNCT iogr-430 21 41 … … SYM iogr-430 21 42 . . NUM iogr-430 21 43 … … PUNCT iogr-430 21 44 … … SYM iogr-430 21 45 . . NUM iogr-430 21 46 … … PUNCT iogr-430 21 47 … … PUNCT iogr-430 21 48 … … PUNCT iogr-430 21 49 … … PUNCT iogr-430 21 50 … … PUNCT iogr-430 21 51 … … PUNCT iogr-430 21 52 … … PUNCT iogr-430 21 53 … … PUNCT iogr-430 21 54 … … PUNCT iogr-430 21 55 … … PUNCT iogr-430 21 56 … … PUNCT iogr-430 21 57 … … PUNCT iogr-430 21 58 … … PUNCT iogr-430 21 59 … … PUNCT iogr-430 21 60 … … PUNCT iogr-430 21 61 … … PUNCT iogr-430 21 62 … … PUNCT iogr-430 21 63 … … PUNCT iogr-430 21 64 … … PUNCT iogr-430 21 65 … … PUNCT iogr-430 21 66 ... ... PUNCT iogr-430 21 67 … … PUNCT iogr-430 21 68 (2 (2 X iogr-430 21 69 ) ) PUNCT iogr-430 21 70 where where SCONJ iogr-430 21 71 δ𝜌 δ𝜌 PROPN iogr-430 21 72 is be AUX iogr-430 21 73 the the DET iogr-430 21 74 density density NOUN iogr-430 21 75 difference difference NOUN iogr-430 21 76 between between ADP iogr-430 21 77 pure pure ADJ iogr-430 21 78 oil oil NOUN iogr-430 21 79 and and CCONJ iogr-430 21 80 displacing displace VERB iogr-430 21 81 fluid fluid NOUN iogr-430 21 82 ( ( PUNCT iogr-430 21 83 vapor vapor NOUN iogr-430 21 84 ) ) PUNCT iogr-430 21 85 . . PUNCT iogr-430 22 1 πœ‘ πœ‘ PROPN iogr-430 22 2 is be AUX iogr-430 22 3 the the DET iogr-430 22 4 volume volume NOUN iogr-430 22 5 fraction fraction NOUN iogr-430 22 6 of of ADP iogr-430 22 7 the the DET iogr-430 22 8 solvent solvent NOUN iogr-430 22 9 in in ADP iogr-430 22 10 oil oil NOUN iogr-430 22 11 , , PUNCT iogr-430 22 12 and and CCONJ iogr-430 22 13 πœ‘min πœ‘min NOUN iogr-430 22 14 is be AUX iogr-430 22 15 the the DET iogr-430 22 16 solvent solvent ADJ iogr-430 22 17 concentration concentration NOUN iogr-430 22 18 at at ADP iogr-430 22 19 the the DET iogr-430 22 20 end end NOUN iogr-430 22 21 of of ADP iogr-430 22 22 the the DET iogr-430 22 23 front front NOUN iogr-430 22 24 of of ADP iogr-430 22 25 the the DET iogr-430 22 26 solvent solvent NOUN iogr-430 22 27 that that PRON iogr-430 22 28 has have AUX iogr-430 22 29 penetrated penetrate VERB iogr-430 22 30 the the DET iogr-430 22 31 oil oil NOUN iogr-430 22 32 . . PUNCT iogr-430 23 1 mohan mohan PROPN iogr-430 23 2 et et PROPN iogr-430 23 3 al al PROPN iogr-430 23 4 . . PROPN iogr-430 24 1 ( ( PUNCT iogr-430 24 2 2019 2019 NUM iogr-430 24 3 ) ) PUNCT iogr-430 24 4 improved improve VERB iogr-430 24 5 the the DET iogr-430 24 6 earlier early ADJ iogr-430 24 7 model model NOUN iogr-430 24 8 using use VERB iogr-430 24 9 mass mass NOUN iogr-430 24 10 transfer transfer NOUN iogr-430 24 11 boundary boundary ADJ iogr-430 24 12 layer layer NOUN iogr-430 24 13 theory theory NOUN iogr-430 24 14 . . PUNCT iogr-430 25 1 but but CCONJ iogr-430 25 2 their their PRON iogr-430 25 3 final final ADJ iogr-430 25 4 results result NOUN iogr-430 25 5 are be AUX iogr-430 25 6 not not PART iogr-430 25 7 that that ADV iogr-430 25 8 different different ADJ iogr-430 25 9 . . PUNCT iogr-430 26 1 mailto:neogi@mst.edu mailto:neogi@mst.edu NOUN iogr-430 26 2 2 2 NUM iogr-430 26 3 𝑄𝑏 𝑄𝑏 NOUN iogr-430 26 4 = = SYM iogr-430 26 5 2√ 2√ PROPN iogr-430 26 6 π‘˜π‘”πœ™Ξ΄πœŒβ„Žπ·π‘œ π‘˜π‘”πœ™Ξ΄πœŒβ„Žπ·π‘œ PROPN iogr-430 26 7 πœ‡π‘œ πœ‡π‘œ PROPN iogr-430 26 8 ∫ ∫ PROPN iogr-430 26 9 π‘’π›Όπœ‘π‘œπœ“(1 π‘’π›Όπœ‘π‘œπœ“(1 PROPN iogr-430 26 10 βˆ’ βˆ’ PROPN iogr-430 26 11 πœ‘π‘œπœ“)π‘‘πœ“ πœ‘π‘œπœ“)π‘‘πœ“ VERB iogr-430 26 12 𝑒 𝑒 PRON iogr-430 26 13 0 0 NUM iogr-430 26 14 . . PUNCT iogr-430 27 1 … … PUNCT iogr-430 27 2 … … PUNCT iogr-430 27 3 … … PUNCT iogr-430 27 4 … … PUNCT iogr-430 27 5 … … PUNCT iogr-430 27 6 … … PUNCT iogr-430 27 7 … … PUNCT iogr-430 27 8 … … PUNCT iogr-430 27 9 … … PUNCT iogr-430 27 10 … … PUNCT iogr-430 27 11 … … PUNCT iogr-430 27 12 … … PUNCT iogr-430 27 13 … … PUNCT iogr-430 27 14 … … PUNCT iogr-430 27 15 … … PUNCT iogr-430 27 16 … … PUNCT iogr-430 27 17 … … PUNCT iogr-430 27 18 … … PUNCT iogr-430 27 19 … … PUNCT iogr-430 27 20 … … PUNCT iogr-430 27 21 … … PUNCT iogr-430 27 22 … … PUNCT iogr-430 27 23 … … PUNCT iogr-430 27 24 ..... ..... PUNCT iogr-430 27 25 (3 (3 PUNCT iogr-430 27 26 ) ) PUNCT iogr-430 27 27 the the DET iogr-430 27 28 terms term NOUN iogr-430 27 29 under under ADP iogr-430 27 30 the the DET iogr-430 27 31 square square ADJ iogr-430 27 32 - - PUNCT iogr-430 27 33 root root NOUN iogr-430 27 34 sign sign NOUN iogr-430 27 35 ( ( PUNCT iogr-430 27 36 only only ADV iogr-430 27 37 ) ) PUNCT iogr-430 27 38 also also ADV iogr-430 27 39 appears appear VERB iogr-430 27 40 in in ADP iogr-430 27 41 eq eq NOUN iogr-430 27 42 . . PROPN iogr-430 27 43 1 1 NUM iogr-430 27 44 if if SCONJ iogr-430 27 45 we we PRON iogr-430 27 46 express express VERB iogr-430 27 47 d d NOUN iogr-430 27 48 = = PRON iogr-430 27 49 do do VERB iogr-430 27 50 Γ— Γ— NOUN iogr-430 27 51 function function NOUN iogr-430 27 52 of of ADP iogr-430 27 53 πœ‘ πœ‘ PROPN iogr-430 27 54 , , PUNCT iogr-430 27 55 and and CCONJ iogr-430 27 56 Β΅ Β΅ X iogr-430 27 57 = = SYM iogr-430 27 58 Β΅o Β΅o PRON iogr-430 27 59 Γ— Γ— NOUN iogr-430 27 60 function function NOUN iogr-430 27 61 of of ADP iogr-430 27 62 πœ‘. πœ‘. NOUN iogr-430 27 63 here here ADV iogr-430 27 64 , , PUNCT iogr-430 27 65 𝑒 𝑒 X iogr-430 27 66 = = NOUN iogr-430 27 67 𝛿 𝛿 ADJ iogr-430 27 68 √4πœ‡π‘œπ·π‘œπœ‚πœ™/(π‘˜Ξ΄πœŒπ‘”π‘ π‘–π‘›πœƒ √4πœ‡π‘œπ·π‘œπœ‚πœ™/(π‘˜Ξ΄πœŒπ‘”π‘ π‘–π‘›πœƒ NOUN iogr-430 27 69 ) ) PUNCT iogr-430 27 70 , , PUNCT iogr-430 27 71 … … PUNCT iogr-430 27 72 … … PUNCT iogr-430 27 73 … … PUNCT iogr-430 27 74 … … PUNCT iogr-430 27 75 … … PUNCT iogr-430 27 76 … … PUNCT iogr-430 27 77 … … PUNCT iogr-430 27 78 … … PUNCT iogr-430 27 79 … … PUNCT iogr-430 27 80 … … PUNCT iogr-430 27 81 … … PUNCT iogr-430 27 82 … … PUNCT iogr-430 27 83 … … PUNCT iogr-430 27 84 … … PUNCT iogr-430 27 85 … … PUNCT iogr-430 27 86 … … PUNCT iogr-430 27 87 … … PUNCT iogr-430 27 88 … … PUNCT iogr-430 27 89 … … PUNCT iogr-430 27 90 … … PUNCT iogr-430 27 91 … … SYM iogr-430 27 92 . . NUM iogr-430 27 93 … … PUNCT iogr-430 27 94 … … PUNCT iogr-430 27 95 … … PUNCT iogr-430 27 96 … … PUNCT iogr-430 27 97 … … PUNCT iogr-430 27 98 … … PUNCT iogr-430 27 99 … … PUNCT iogr-430 27 100 … … PUNCT iogr-430 27 101 … … PUNCT iogr-430 27 102 .... .... PUNCT iogr-430 27 103 (4 (4 NOUN iogr-430 27 104 ) ) PUNCT iogr-430 27 105 where where SCONJ iogr-430 27 106 Ξ΄ Ξ΄ PROPN iogr-430 27 107 is be AUX iogr-430 27 108 the the DET iogr-430 27 109 thickness thickness NOUN iogr-430 27 110 over over ADP iogr-430 27 111 which which PRON iogr-430 27 112 solvent solvent ADJ iogr-430 27 113 concentration concentration NOUN iogr-430 27 114 in in ADP iogr-430 27 115 oil oil NOUN iogr-430 27 116 falls fall VERB iogr-430 27 117 from from ADP iogr-430 27 118 volume volume NOUN iogr-430 27 119 fraction fraction NOUN iogr-430 27 120 of of ADP iogr-430 27 121 πœ‘π‘œ πœ‘π‘œ NUM iogr-430 27 122 to to ADP iogr-430 27 123 πœ‘π‘šπ‘–π‘› πœ‘π‘šπ‘–π‘› PROPN iogr-430 27 124 in in ADP iogr-430 27 125 the the DET iogr-430 27 126 direction direction NOUN iogr-430 27 127 normal normal ADJ iogr-430 27 128 to to ADP iogr-430 27 129 the the DET iogr-430 27 130 interface interface NOUN iogr-430 27 131 , , PUNCT iogr-430 27 132 Ξ· Ξ· PROPN iogr-430 27 133 is be AUX iogr-430 27 134 the the DET iogr-430 27 135 direction direction NOUN iogr-430 27 136 tangential tangential ADJ iogr-430 27 137 to to ADP iogr-430 27 138 the the DET iogr-430 27 139 interface interface NOUN iogr-430 27 140 , , PUNCT iogr-430 27 141 and and CCONJ iogr-430 27 142 u u NOUN iogr-430 27 143 is be AUX iogr-430 27 144 taken take VERB iogr-430 27 145 to to PART iogr-430 27 146 be be AUX iogr-430 27 147 a a DET iogr-430 27 148 constant constant ADJ iogr-430 27 149 . . PUNCT iogr-430 28 1 if if SCONJ iogr-430 28 2 we we PRON iogr-430 28 3 use use VERB iogr-430 28 4 a a DET iogr-430 28 5 vapor vapor NOUN iogr-430 28 6 which which PRON iogr-430 28 7 can can AUX iogr-430 28 8 condense condense VERB iogr-430 28 9 and and CCONJ iogr-430 28 10 the the DET iogr-430 28 11 condensate condensate NOUN iogr-430 28 12 is be AUX iogr-430 28 13 miscible miscible ADJ iogr-430 28 14 in in ADP iogr-430 28 15 oil oil NOUN iogr-430 28 16 , , PUNCT iogr-430 28 17 then then ADV iogr-430 28 18 πœ‘π‘œ πœ‘π‘œ VERB iogr-430 28 19 = = ADJ iogr-430 28 20 1 1 X iogr-430 28 21 . . PUNCT iogr-430 28 22 for for ADP iogr-430 28 23 most most ADJ iogr-430 28 24 solvents solvent NOUN iogr-430 28 25 , , PUNCT iogr-430 28 26 known know VERB iogr-430 28 27 to to ADP iogr-430 28 28 us we PRON iogr-430 28 29 οΏ½ οΏ½ NOUN iogr-430 28 30 Μ… Μ… NOUN iogr-430 28 31 οΏ½ οΏ½ PROPN iogr-430 28 32 = = SYM iogr-430 28 33 π›Όπœ‘π‘œ~10 π›Όπœ‘π‘œ~10 PROPN iogr-430 28 34 where where SCONJ iogr-430 28 35 the the DET iogr-430 28 36 free free ADJ iogr-430 28 37 volume volume NOUN iogr-430 28 38 theory theory NOUN iogr-430 28 39 ( ( PUNCT iogr-430 28 40 mohan mohan PROPN iogr-430 28 41 et et PROPN iogr-430 28 42 al al PROPN iogr-430 28 43 . . PROPN iogr-430 28 44 2017 2017 NUM iogr-430 28 45 ) ) PUNCT iogr-430 28 46 is be AUX iogr-430 28 47 used use VERB iogr-430 28 48 to to PART iogr-430 28 49 write write VERB iogr-430 28 50 the the DET iogr-430 28 51 diffusivity diffusivity NOUN iogr-430 28 52 as as ADP iogr-430 28 53 , , PUNCT iogr-430 28 54 𝐷 𝐷 PROPN iogr-430 28 55 = = SYM iogr-430 28 56 π·π‘œπ‘’π›Όπœ‘ π·π‘œπ‘’π›Όπœ‘ PROPN iogr-430 28 57 , , PUNCT iogr-430 28 58 … … PUNCT iogr-430 28 59 … … PUNCT iogr-430 28 60 … … PUNCT iogr-430 28 61 … … PUNCT iogr-430 28 62 … … PUNCT iogr-430 28 63 … … PUNCT iogr-430 28 64 … … PUNCT iogr-430 28 65 … … PUNCT iogr-430 28 66 … … PUNCT iogr-430 28 67 … … PUNCT iogr-430 28 68 … … PUNCT iogr-430 28 69 … … PUNCT iogr-430 28 70 … … PUNCT iogr-430 28 71 … … PUNCT iogr-430 28 72 … … PUNCT iogr-430 28 73 … … PUNCT iogr-430 28 74 … … PUNCT iogr-430 28 75 … … PUNCT iogr-430 28 76 … … PUNCT iogr-430 28 77 … … PUNCT iogr-430 28 78 … … PUNCT iogr-430 28 79 … … PUNCT iogr-430 28 80 … … PUNCT iogr-430 28 81 … … PUNCT iogr-430 28 82 … … PUNCT iogr-430 28 83 … … PUNCT iogr-430 28 84 … … PUNCT iogr-430 28 85 … … PUNCT iogr-430 28 86 … … PUNCT iogr-430 28 87 … … PUNCT iogr-430 28 88 … … PUNCT iogr-430 28 89 … … PUNCT iogr-430 28 90 … … PUNCT iogr-430 28 91 … … PUNCT iogr-430 28 92 .. .. PUNCT iogr-430 28 93 … … PUNCT iogr-430 28 94 … … PUNCT iogr-430 28 95 .(5 .(5 NOUN iogr-430 28 96 ) ) PUNCT iogr-430 28 97 and and CCONJ iogr-430 28 98 the the DET iogr-430 28 99 viscosity viscosity NOUN iogr-430 28 100 as as ADP iogr-430 28 101 , , PUNCT iogr-430 28 102 πœ‡ πœ‡ X iogr-430 28 103 = = X iogr-430 28 104 πœ‡π‘œπ‘’βˆ’π›Όπœ‘ πœ‡π‘œπ‘’βˆ’π›Όπœ‘ NOUN iogr-430 28 105 , , PUNCT iogr-430 28 106 … … PUNCT iogr-430 28 107 … … PUNCT iogr-430 28 108 … … PUNCT iogr-430 28 109 … … PUNCT iogr-430 28 110 … … PUNCT iogr-430 28 111 … … PUNCT iogr-430 28 112 … … PUNCT iogr-430 28 113 … … PUNCT iogr-430 28 114 … … PUNCT iogr-430 28 115 … … PUNCT iogr-430 28 116 … … PUNCT iogr-430 28 117 … … PUNCT iogr-430 28 118 … … PUNCT iogr-430 28 119 … … PUNCT iogr-430 28 120 … … PUNCT iogr-430 28 121 … … PUNCT iogr-430 28 122 … … PUNCT iogr-430 28 123 … … PUNCT iogr-430 28 124 … … PUNCT iogr-430 28 125 … … PUNCT iogr-430 28 126 … … PUNCT iogr-430 28 127 … … PUNCT iogr-430 28 128 … … PUNCT iogr-430 28 129 … … PUNCT iogr-430 28 130 … … PUNCT iogr-430 28 131 … … PUNCT iogr-430 28 132 … … PUNCT iogr-430 28 133 … … PUNCT iogr-430 28 134 … … PUNCT iogr-430 28 135 … … PUNCT iogr-430 28 136 … … PUNCT iogr-430 28 137 … … PUNCT iogr-430 28 138 … … PUNCT iogr-430 28 139 … … PUNCT iogr-430 28 140 .. .. PUNCT iogr-430 28 141 … … PUNCT iogr-430 28 142 … … PUNCT iogr-430 28 143 ( ( PUNCT iogr-430 28 144 6 6 NUM iogr-430 28 145 ) ) PUNCT iogr-430 28 146 mokrys mokry NOUN iogr-430 28 147 and and CCONJ iogr-430 28 148 butler butler NOUN iogr-430 28 149 ( ( PUNCT iogr-430 28 150 1993 1993 NUM iogr-430 28 151 ) ) PUNCT iogr-430 28 152 conducted conduct VERB iogr-430 28 153 experiments experiment NOUN iogr-430 28 154 in in ADP iogr-430 28 155 vertically vertically ADV iogr-430 28 156 held hold VERB iogr-430 28 157 hele hele PROPN iogr-430 28 158 - - PUNCT iogr-430 28 159 shaw shaw PROPN iogr-430 28 160 cells cell NOUN iogr-430 28 161 and and CCONJ iogr-430 28 162 verified verify VERB iogr-430 28 163 the the DET iogr-430 28 164 above above ADJ iogr-430 28 165 k k PROPN iogr-430 28 166 and and CCONJ iogr-430 28 167 h h NOUN iogr-430 28 168 dependence dependence NOUN iogr-430 28 169 . . PUNCT iogr-430 29 1 the the DET iogr-430 29 2 vapor vapor NOUN iogr-430 29 3 is be AUX iogr-430 29 4 introduced introduce VERB iogr-430 29 5 from from ADP iogr-430 29 6 the the DET iogr-430 29 7 side side NOUN iogr-430 29 8 as as SCONJ iogr-430 29 9 shown show VERB iogr-430 29 10 in in ADP iogr-430 29 11 figure figure NOUN iogr-430 29 12 1 1 NUM iogr-430 29 13 . . PUNCT iogr-430 30 1 figure figure NOUN iogr-430 30 2 1 1 NUM iogr-430 30 3 β€” β€” PUNCT iogr-430 30 4 schematic schematic ADJ iogr-430 30 5 view view NOUN iogr-430 30 6 of of ADP iogr-430 30 7 the the DET iogr-430 30 8 recovery recovery NOUN iogr-430 30 9 experiments experiment NOUN iogr-430 30 10 . . PUNCT iogr-430 31 1 in in ADP iogr-430 31 2 hele hele PROPN iogr-430 31 3 - - PUNCT iogr-430 31 4 shaw shaw PROPN iogr-430 31 5 cells cell NOUN iogr-430 31 6 the the DET iogr-430 31 7 gap gap NOUN iogr-430 31 8 between between ADP iogr-430 31 9 the the DET iogr-430 31 10 two two NUM iogr-430 31 11 parallel parallel ADJ iogr-430 31 12 plates plate NOUN iogr-430 31 13 is be AUX iogr-430 31 14 empty empty ADJ iogr-430 31 15 and and CCONJ iogr-430 31 16 then then ADV iogr-430 31 17 is be AUX iogr-430 31 18 filled fill VERB iogr-430 31 19 with with ADP iogr-430 31 20 oil oil NOUN iogr-430 31 21 . . PUNCT iogr-430 32 1 in in ADP iogr-430 32 2 sandpack sandpack ADJ iogr-430 32 3 experiments experiment NOUN iogr-430 32 4 the the DET iogr-430 32 5 gap gap NOUN iogr-430 32 6 is be AUX iogr-430 32 7 filled fill VERB iogr-430 32 8 with with ADP iogr-430 32 9 sand sand NOUN iogr-430 32 10 and and CCONJ iogr-430 32 11 oil oil NOUN iogr-430 32 12 mixture mixture NOUN iogr-430 32 13 which which PRON iogr-430 32 14 is be AUX iogr-430 32 15 then then ADV iogr-430 32 16 packed pack VERB iogr-430 32 17 . . PUNCT iogr-430 33 1 other other ADJ iogr-430 33 2 experiments experiment NOUN iogr-430 33 3 using use VERB iogr-430 33 4 twodimensional twodimensional ADJ iogr-430 33 5 sandpacks sandpack NOUN iogr-430 33 6 followed follow VERB iogr-430 33 7 and and CCONJ iogr-430 33 8 showed show VERB iogr-430 33 9 a a DET iogr-430 33 10 result result NOUN iogr-430 33 11 that that PRON iogr-430 33 12 was be AUX iogr-430 33 13 proportional proportional ADJ iogr-430 33 14 to to ADP iogr-430 33 15 h h NOUN iogr-430 33 16 rather rather ADV iogr-430 33 17 than than ADP iogr-430 33 18 hΒ½ hΒ½ PROPN iogr-430 33 19 as as ADP iogr-430 33 20 in in ADP iogr-430 33 21 above above ADV iogr-430 33 22 ( ( PUNCT iogr-430 33 23 karmakar karmakar NOUN iogr-430 33 24 and and CCONJ iogr-430 33 25 maini maini PROPN iogr-430 33 26 2003 2003 NUM iogr-430 33 27 ; ; PUNCT iogr-430 33 28 yazdani yazdani PROPN iogr-430 33 29 and and CCONJ iogr-430 33 30 maini maini PROPN iogr-430 33 31 2005 2005 NUM iogr-430 33 32 ; ; PUNCT iogr-430 33 33 haghighat haghighat PROPN iogr-430 33 34 and and CCONJ iogr-430 33 35 maini maini PROPN iogr-430 33 36 2012 2012 NUM iogr-430 33 37 ) ) PUNCT iogr-430 33 38 . . PUNCT iogr-430 34 1 one one NUM iogr-430 34 2 numerical numerical PROPN iogr-430 34 3 simulation simulation NOUN iogr-430 34 4 also also ADV iogr-430 34 5 showed show VERB iogr-430 34 6 such such DET iogr-430 34 7 a a DET iogr-430 34 8 result result NOUN iogr-430 34 9 ( ( PUNCT iogr-430 34 10 cuthiell cuthiell NOUN iogr-430 34 11 and and CCONJ iogr-430 34 12 edmunds edmund NOUN iogr-430 34 13 2013 2013 NUM iogr-430 34 14 ) ) PUNCT iogr-430 34 15 . . PUNCT iogr-430 35 1 nenninger nenninger NOUN iogr-430 35 2 and and CCONJ iogr-430 35 3 dunn dunn PROPN iogr-430 35 4 ( ( PUNCT iogr-430 35 5 2008 2008 NUM iogr-430 35 6 ) ) PUNCT iogr-430 35 7 put put VERB iogr-430 35 8 together together ADV iogr-430 35 9 a a DET iogr-430 35 10 large large ADJ iogr-430 35 11 number number NOUN iogr-430 35 12 of of ADP iogr-430 35 13 data datum NOUN iogr-430 35 14 from from ADP iogr-430 35 15 sandpacks sandpack NOUN iogr-430 35 16 and and CCONJ iogr-430 35 17 hele hele PROPN iogr-430 35 18 - - PUNCT iogr-430 35 19 shaw shaw PROPN iogr-430 35 20 cell cell NOUN iogr-430 35 21 and and CCONJ iogr-430 35 22 found find VERB iogr-430 35 23 , , PUNCT iogr-430 35 24 π‘Šπ‘ π‘Šπ‘ PROPN iogr-430 35 25 = = SYM iogr-430 35 26 43550(π‘˜πœ™/πœ‡π‘œ)0.51, 43550(π‘˜πœ™/πœ‡π‘œ)0.51, NUM iogr-430 35 27 … … PUNCT iogr-430 35 28 … … PUNCT iogr-430 35 29 … … PUNCT iogr-430 35 30 … … PUNCT iogr-430 35 31 … … PUNCT iogr-430 35 32 … … PUNCT iogr-430 35 33 … … PUNCT iogr-430 35 34 … … PUNCT iogr-430 35 35 … … PUNCT iogr-430 35 36 … … PUNCT iogr-430 35 37 … … PUNCT iogr-430 35 38 … … PUNCT iogr-430 35 39 … … PUNCT iogr-430 35 40 … … PUNCT iogr-430 35 41 … … PUNCT iogr-430 35 42 … … PUNCT iogr-430 35 43 … … PUNCT iogr-430 35 44 … … PUNCT iogr-430 35 45 … … PUNCT iogr-430 35 46 … … PUNCT iogr-430 35 47 … … PUNCT iogr-430 35 48 … … PUNCT iogr-430 35 49 … … PUNCT iogr-430 35 50 … … PUNCT iogr-430 35 51 … … PUNCT iogr-430 35 52 .. .. PUNCT iogr-430 35 53 … … PUNCT iogr-430 35 54 … … PUNCT iogr-430 35 55 … … PUNCT iogr-430 35 56 .. .. PUNCT iogr-430 35 57 … … PUNCT iogr-430 35 58 ... ... PUNCT iogr-430 35 59 (7 (7 NOUN iogr-430 35 60 ) ) PUNCT iogr-430 36 1 where where SCONJ iogr-430 36 2 , , PUNCT iogr-430 36 3 π‘Šπ‘ π‘Šπ‘ PROPN iogr-430 36 4 = = PUNCT iogr-430 36 5 π‘„π‘πœŒπ‘œ/β„Ž π‘„π‘πœŒπ‘œ/β„Ž PROPN iogr-430 36 6 . . PUNCT iogr-430 37 1 … … PUNCT iogr-430 37 2 … … PUNCT iogr-430 37 3 … … PUNCT iogr-430 37 4 .. .. PUNCT iogr-430 37 5 … … PUNCT iogr-430 37 6 … … PUNCT iogr-430 37 7 … … PUNCT iogr-430 37 8 … … PUNCT iogr-430 37 9 … … PUNCT iogr-430 37 10 … … PUNCT iogr-430 37 11 … … PUNCT iogr-430 37 12 … … PUNCT iogr-430 37 13 … … PUNCT iogr-430 37 14 … … PUNCT iogr-430 37 15 … … PUNCT iogr-430 37 16 … … PUNCT iogr-430 37 17 … … PUNCT iogr-430 37 18 … … PUNCT iogr-430 37 19 … … PUNCT iogr-430 37 20 … … PUNCT iogr-430 37 21 … … PUNCT iogr-430 37 22 … … PUNCT iogr-430 37 23 … … PUNCT iogr-430 37 24 … … PUNCT iogr-430 37 25 … … PUNCT iogr-430 37 26 … … PUNCT iogr-430 37 27 … … PUNCT iogr-430 37 28 … … PUNCT iogr-430 37 29 … … PUNCT iogr-430 37 30 … … PUNCT iogr-430 37 31 … … PUNCT iogr-430 37 32 … … PUNCT iogr-430 37 33 … … PUNCT iogr-430 37 34 … … PUNCT iogr-430 37 35 ....... ....... PUNCT iogr-430 37 36 (8 (8 NUM iogr-430 37 37 ) ) PUNCT iogr-430 37 38 3 3 NUM iogr-430 37 39 note note VERB iogr-430 37 40 that that SCONJ iogr-430 37 41 the the DET iogr-430 37 42 terms term NOUN iogr-430 37 43 under under ADP iogr-430 37 44 the the DET iogr-430 37 45 square square ADJ iogr-430 37 46 - - PUNCT iogr-430 37 47 root root NOUN iogr-430 37 48 appear appear VERB iogr-430 37 49 in in ADP iogr-430 37 50 both both DET iogr-430 37 51 eqs eqs X iogr-430 37 52 . . PROPN iogr-430 37 53 1 1 NUM iogr-430 37 54 and and CCONJ iogr-430 37 55 2 2 NUM iogr-430 37 56 . . PUNCT iogr-430 38 1 however however ADV iogr-430 38 2 , , PUNCT iogr-430 38 3 the the DET iogr-430 38 4 correlation correlation NOUN iogr-430 38 5 failed fail VERB iogr-430 38 6 to to PART iogr-430 38 7 show show VERB iogr-430 38 8 an an DET iogr-430 38 9 h h NOUN iogr-430 38 10 dependence dependence NOUN iogr-430 38 11 although although SCONJ iogr-430 38 12 some some DET iogr-430 38 13 dependence dependence NOUN iogr-430 38 14 is be AUX iogr-430 38 15 seen see VERB iogr-430 38 16 . . PUNCT iogr-430 39 1 thus thus ADV iogr-430 39 2 , , PUNCT iogr-430 39 3 we we PRON iogr-430 39 4 face face VERB iogr-430 39 5 a a DET iogr-430 39 6 situation situation NOUN iogr-430 39 7 where where SCONJ iogr-430 39 8 we we PRON iogr-430 39 9 can can AUX iogr-430 39 10 not not PART iogr-430 39 11 be be AUX iogr-430 39 12 sure sure ADJ iogr-430 39 13 what what PRON iogr-430 39 14 the the DET iogr-430 39 15 experiments experiment NOUN iogr-430 39 16 have have VERB iogr-430 39 17 to to PART iogr-430 39 18 say say VERB iogr-430 39 19 regarding regard VERB iogr-430 39 20 h h NOUN iogr-430 39 21 , , PUNCT iogr-430 39 22 an an DET iogr-430 39 23 important important ADJ iogr-430 39 24 field field NOUN iogr-430 39 25 variable variable NOUN iogr-430 39 26 . . PUNCT iogr-430 40 1 formulation formulation NOUN iogr-430 40 2 we we PRON iogr-430 40 3 note note VERB iogr-430 40 4 that that SCONJ iogr-430 40 5 eq eq ADP iogr-430 40 6 . . PROPN iogr-430 40 7 7 7 NUM iogr-430 40 8 is be AUX iogr-430 40 9 somewhat somewhat ADV iogr-430 40 10 along along ADP iogr-430 40 11 the the DET iogr-430 40 12 lines line NOUN iogr-430 40 13 of of ADP iogr-430 40 14 dimensional dimensional ADJ iogr-430 40 15 analysis analysis NOUN iogr-430 40 16 . . PUNCT iogr-430 41 1 however however ADV iogr-430 41 2 , , PUNCT iogr-430 41 3 if if SCONJ iogr-430 41 4 we we PRON iogr-430 41 5 try try VERB iogr-430 41 6 to to PART iogr-430 41 7 fit fit VERB iogr-430 41 8 variables variable NOUN iogr-430 41 9 𝑦 𝑦 NOUN iogr-430 41 10 = = X iogr-430 41 11 mπ‘₯1 mπ‘₯1 ADJ iogr-430 41 12 π‘š1π‘₯2 π‘š1π‘₯2 PUNCT iogr-430 41 13 π‘š2 π‘š2 NOUN iogr-430 41 14 , , PUNCT iogr-430 41 15 … … PUNCT iogr-430 41 16 … … PUNCT iogr-430 41 17 … … PUNCT iogr-430 41 18 … … PUNCT iogr-430 41 19 … … PUNCT iogr-430 41 20 … … PUNCT iogr-430 41 21 … … PUNCT iogr-430 41 22 … … PUNCT iogr-430 41 23 … … PUNCT iogr-430 41 24 … … PUNCT iogr-430 41 25 … … PUNCT iogr-430 41 26 … … PUNCT iogr-430 41 27 … … PUNCT iogr-430 41 28 … … PUNCT iogr-430 41 29 … … PUNCT iogr-430 41 30 … … PUNCT iogr-430 41 31 … … PUNCT iogr-430 41 32 … … PUNCT iogr-430 41 33 … … PUNCT iogr-430 41 34 … … PUNCT iogr-430 41 35 … … PUNCT iogr-430 41 36 … … PUNCT iogr-430 41 37 … … PUNCT iogr-430 41 38 … … PUNCT iogr-430 41 39 … … PUNCT iogr-430 41 40 … … PUNCT iogr-430 41 41 … … PUNCT iogr-430 41 42 … … PUNCT iogr-430 41 43 … … PUNCT iogr-430 41 44 … … PUNCT iogr-430 41 45 … … PUNCT iogr-430 41 46 … … PUNCT iogr-430 41 47 … … PUNCT iogr-430 41 48 … … PUNCT iogr-430 41 49 … … PUNCT iogr-430 41 50 .. .. PUNCT iogr-430 41 51 ( ( PUNCT iogr-430 41 52 9 9 X iogr-430 41 53 ) ) PUNCT iogr-430 41 54 there there PRON iogr-430 41 55 is be VERB iogr-430 41 56 no no DET iogr-430 41 57 reason reason NOUN iogr-430 41 58 to to PART iogr-430 41 59 suppose suppose VERB iogr-430 41 60 that that SCONJ iogr-430 41 61 the the DET iogr-430 41 62 constants constant NOUN iogr-430 41 63 m m PROPN iogr-430 41 64 , , PUNCT iogr-430 41 65 m1 m1 PROPN iogr-430 41 66 , , PUNCT iogr-430 41 67 m2 m2 PROPN iogr-430 41 68 , , PUNCT iogr-430 41 69 etc etc X iogr-430 41 70 . . X iogr-430 41 71 are be AUX iogr-430 41 72 independent independent ADJ iogr-430 41 73 of of ADP iogr-430 41 74 one one NUM iogr-430 41 75 another another DET iogr-430 41 76 . . PUNCT iogr-430 42 1 this this DET iogr-430 42 2 problem problem NOUN iogr-430 42 3 is be AUX iogr-430 42 4 eliminated eliminate VERB iogr-430 42 5 by by ADP iogr-430 42 6 buckingham buckingham PROPN iogr-430 42 7 - - PUNCT iogr-430 42 8 pi pi NOUN iogr-430 42 9 theorem theorem NOUN iogr-430 42 10 which which PRON iogr-430 42 11 gives give VERB iogr-430 42 12 us we PRON iogr-430 42 13 the the DET iogr-430 42 14 correct correct ADJ iogr-430 42 15 number number NOUN iogr-430 42 16 of of ADP iogr-430 42 17 independent independent ADJ iogr-430 42 18 variables variable NOUN iogr-430 42 19 . . PUNCT iogr-430 43 1 we we PRON iogr-430 43 2 take take VERB iogr-430 43 3 wb wb NOUN iogr-430 43 4 to to PART iogr-430 43 5 be be AUX iogr-430 43 6 a a DET iogr-430 43 7 function function NOUN iogr-430 43 8 of of ADP iogr-430 43 9 πœ‡π‘œ πœ‡π‘œ PROPN iogr-430 43 10 , , PUNCT iogr-430 43 11 πœ™ πœ™ PROPN iogr-430 43 12 , , PUNCT iogr-430 43 13 δρ δρ ADP iogr-430 43 14 , , PUNCT iogr-430 43 15 π‘˜ π‘˜ PROPN iogr-430 43 16 , , PUNCT iogr-430 43 17 β„Ž β„Ž NOUN iogr-430 43 18 from from ADP iogr-430 43 19 nenninger nenninger NOUN iogr-430 43 20 and and CCONJ iogr-430 43 21 dunn dunn PROPN iogr-430 43 22 ( ( PUNCT iogr-430 43 23 2008 2008 NUM iogr-430 43 24 ) ) PUNCT iogr-430 43 25 where where SCONJ iogr-430 43 26 we we PRON iogr-430 43 27 have have AUX iogr-430 43 28 omitted omit VERB iogr-430 43 29 surface surface NOUN iogr-430 43 30 tension tension NOUN iogr-430 43 31 . . PUNCT iogr-430 44 1 because because SCONJ iogr-430 44 2 of of ADP iogr-430 44 3 the the DET iogr-430 44 4 way way NOUN iogr-430 44 5 πœ™ πœ™ NOUN iogr-430 44 6 is be AUX iogr-430 44 7 associated associate VERB iogr-430 44 8 with with ADP iogr-430 44 9 k k PROPN iogr-430 44 10 in in ADP iogr-430 44 11 eq eq ADP iogr-430 44 12 . . PROPN iogr-430 44 13 7 7 NUM iogr-430 44 14 , , PUNCT iogr-430 44 15 πœ™ πœ™ PRON iogr-430 44 16 has have AUX iogr-430 44 17 been be AUX iogr-430 44 18 considered consider VERB iogr-430 44 19 only only ADV iogr-430 44 20 as as ADP iogr-430 44 21 a a DET iogr-430 44 22 product product NOUN iogr-430 44 23 πœ™π‘˜. πœ™π‘˜. NOUN iogr-430 44 24 we we PRON iogr-430 44 25 now now ADV iogr-430 44 26 add add VERB iogr-430 44 27 to to ADP iogr-430 44 28 these these DET iogr-430 44 29 all all DET iogr-430 44 30 mass mass ADJ iogr-430 44 31 transfer transfer NOUN iogr-430 44 32 variables variable NOUN iogr-430 44 33 π·π‘œ π·π‘œ NOUN iogr-430 44 34 , , PUNCT iogr-430 44 35 𝛼 𝛼 INTJ iogr-430 44 36 , , PUNCT iogr-430 44 37 πœ‘π‘œ πœ‘π‘œ INTJ iogr-430 44 38 . . PUNCT iogr-430 45 1 since since SCONJ iogr-430 45 2 π›Όπœ‘π‘œ~10 π›Όπœ‘π‘œ~10 PROPN iogr-430 45 3 , , PUNCT iogr-430 45 4 it it PRON iogr-430 45 5 is be AUX iogr-430 45 6 not not PART iogr-430 45 7 considered consider VERB iogr-430 45 8 to to PART iogr-430 45 9 be be AUX iogr-430 45 10 a a DET iogr-430 45 11 variable variable NOUN iogr-430 45 12 here here ADV iogr-430 45 13 . . PUNCT iogr-430 46 1 similarly similarly ADV iogr-430 46 2 , , PUNCT iogr-430 46 3 most most ADJ iogr-430 46 4 of of ADP iogr-430 46 5 the the DET iogr-430 46 6 data datum NOUN iogr-430 46 7 compiled compile VERB iogr-430 46 8 have have VERB iogr-430 46 9 πœ‘π‘œ πœ‘π‘œ NOUN iogr-430 46 10 = = SYM iogr-430 46 11 1 1 NUM iogr-430 46 12 and and CCONJ iogr-430 46 13 it it PRON iogr-430 46 14 is be AUX iogr-430 46 15 not not PART iogr-430 46 16 considered consider VERB iogr-430 46 17 to to PART iogr-430 46 18 be be AUX iogr-430 46 19 a a DET iogr-430 46 20 variable variable NOUN iogr-430 46 21 . . PUNCT iogr-430 47 1 hence hence ADV iogr-430 47 2 , , PUNCT iogr-430 47 3 there there PRON iogr-430 47 4 are be VERB iogr-430 47 5 seven seven NUM iogr-430 47 6 variables variable NOUN iogr-430 47 7 and and CCONJ iogr-430 47 8 three three NUM iogr-430 47 9 dimensions dimension NOUN iogr-430 47 10 leading lead VERB iogr-430 47 11 to to ADP iogr-430 47 12 four four NUM iogr-430 47 13 dimensionless dimensionless NOUN iogr-430 47 14 groups group NOUN iogr-430 47 15 . . PUNCT iogr-430 48 1 these these DET iogr-430 48 2 groups group NOUN iogr-430 48 3 are be AUX iogr-430 48 4 found find VERB iogr-430 48 5 to to PART iogr-430 48 6 be be AUX iogr-430 48 7 𝑅𝑒 𝑅𝑒 PROPN iogr-430 48 8 = = SYM iogr-430 48 9 π‘Šπ‘β„Ž/πœ‡π‘œ π‘Šπ‘β„Ž/πœ‡π‘œ NOUN iogr-430 48 10 , , PUNCT iogr-430 48 11 … … PUNCT iogr-430 48 12 .. .. PUNCT iogr-430 48 13 … … PUNCT iogr-430 48 14 … … PUNCT iogr-430 48 15 … … PUNCT iogr-430 48 16 … … PUNCT iogr-430 48 17 … … PUNCT iogr-430 48 18 … … PUNCT iogr-430 48 19 … … PUNCT iogr-430 48 20 … … PUNCT iogr-430 48 21 … … PUNCT iogr-430 48 22 … … PUNCT iogr-430 48 23 … … PUNCT iogr-430 48 24 … … PUNCT iogr-430 48 25 … … PUNCT iogr-430 48 26 … … PUNCT iogr-430 48 27 … … PUNCT iogr-430 48 28 … … PUNCT iogr-430 48 29 … … PUNCT iogr-430 48 30 … … PUNCT iogr-430 48 31 … … PUNCT iogr-430 48 32 … … PUNCT iogr-430 48 33 … … PUNCT iogr-430 48 34 … … PUNCT iogr-430 48 35 … … PUNCT iogr-430 48 36 … … PUNCT iogr-430 48 37 … … PUNCT iogr-430 48 38 … … PUNCT iogr-430 48 39 … … PUNCT iogr-430 48 40 … … PUNCT iogr-430 48 41 … … PUNCT iogr-430 48 42 … … PUNCT iogr-430 48 43 .. .. PUNCT iogr-430 48 44 … … PUNCT iogr-430 48 45 … … PUNCT iogr-430 48 46 ... ... PUNCT iogr-430 48 47 ( ( PUNCT iogr-430 48 48 10 10 NUM iogr-430 48 49 ) ) PUNCT iogr-430 48 50 πΉπ‘Ÿ πΉπ‘Ÿ NOUN iogr-430 48 51 = = SYM iogr-430 48 52 πœ™π‘˜Ξ΄πœŒ πœ™π‘˜Ξ΄πœŒ NOUN iogr-430 48 53 πœ‡π‘œ πœ‡π‘œ VERB iogr-430 48 54 √ √ PROPN iogr-430 48 55 𝑔 𝑔 PROPN iogr-430 48 56 β„Ž β„Ž PROPN iogr-430 48 57 , , PUNCT iogr-430 48 58 … … PUNCT iogr-430 48 59 … … SYM iogr-430 48 60 . . NUM iogr-430 48 61 … … PUNCT iogr-430 48 62 … … PUNCT iogr-430 48 63 … … PUNCT iogr-430 48 64 … … PUNCT iogr-430 48 65 … … PUNCT iogr-430 48 66 … … PUNCT iogr-430 48 67 … … PUNCT iogr-430 48 68 … … PUNCT iogr-430 48 69 … … PUNCT iogr-430 48 70 … … PUNCT iogr-430 48 71 … … PUNCT iogr-430 48 72 … … PUNCT iogr-430 48 73 … … PUNCT iogr-430 48 74 … … PUNCT iogr-430 48 75 … … PUNCT iogr-430 48 76 … … PUNCT iogr-430 48 77 … … PUNCT iogr-430 48 78 … … PUNCT iogr-430 48 79 … … PUNCT iogr-430 48 80 … … PUNCT iogr-430 48 81 … … PUNCT iogr-430 48 82 … … PUNCT iogr-430 48 83 … … PUNCT iogr-430 48 84 .. .. PUNCT iogr-430 48 85 … … PUNCT iogr-430 48 86 … … PUNCT iogr-430 48 87 … … PUNCT iogr-430 48 88 … … PUNCT iogr-430 48 89 … … PUNCT iogr-430 48 90 … … PUNCT iogr-430 48 91 … … PUNCT iogr-430 48 92 … … SYM iogr-430 48 93 . . PUNCT iogr-430 48 94 … … PUNCT iogr-430 48 95 (11 (11 X iogr-430 48 96 ) ) PUNCT iogr-430 49 1 π΄π‘Ÿ π΄π‘Ÿ PROPN iogr-430 49 2 = = PUNCT iogr-430 49 3 πœ™π‘˜/β„Ž2 πœ™π‘˜/β„Ž2 PROPN iogr-430 49 4 , , PUNCT iogr-430 49 5 … … PUNCT iogr-430 49 6 … … PUNCT iogr-430 49 7 … … PUNCT iogr-430 49 8 … … PUNCT iogr-430 49 9 … … PUNCT iogr-430 49 10 … … PUNCT iogr-430 49 11 … … PUNCT iogr-430 49 12 … … PUNCT iogr-430 49 13 … … PUNCT iogr-430 49 14 … … PUNCT iogr-430 49 15 … … PUNCT iogr-430 49 16 … … PUNCT iogr-430 49 17 … … PUNCT iogr-430 49 18 … … PUNCT iogr-430 49 19 … … PUNCT iogr-430 49 20 … … PUNCT iogr-430 49 21 … … PUNCT iogr-430 49 22 … … PUNCT iogr-430 49 23 … … PUNCT iogr-430 49 24 … … PUNCT iogr-430 49 25 … … PUNCT iogr-430 49 26 … … PUNCT iogr-430 49 27 … … PUNCT iogr-430 49 28 … … PUNCT iogr-430 49 29 … … PUNCT iogr-430 49 30 … … PUNCT iogr-430 49 31 … … PUNCT iogr-430 49 32 … … PUNCT iogr-430 49 33 … … PUNCT iogr-430 49 34 … … PUNCT iogr-430 49 35 … … PUNCT iogr-430 49 36 … … PUNCT iogr-430 49 37 … … PUNCT iogr-430 49 38 … … PUNCT iogr-430 49 39 … … PUNCT iogr-430 49 40 .. .. PUNCT iogr-430 49 41 ( ( PUNCT iogr-430 49 42 12 12 X iogr-430 49 43 ) ) PUNCT iogr-430 50 1 𝑆𝑐 𝑆𝑐 PROPN iogr-430 50 2 = = SYM iogr-430 50 3 πœ‡π‘œ πœ‡π‘œ ADP iogr-430 50 4 Ξ΄πœŒπ·π‘œ Ξ΄πœŒπ·π‘œ PROPN iogr-430 50 5 , , PUNCT iogr-430 50 6 … … PUNCT iogr-430 50 7 … … PUNCT iogr-430 50 8 … … PUNCT iogr-430 50 9 … … PUNCT iogr-430 50 10 … … PUNCT iogr-430 50 11 … … PUNCT iogr-430 50 12 … … PUNCT iogr-430 50 13 … … PUNCT iogr-430 50 14 … … PUNCT iogr-430 50 15 … … PUNCT iogr-430 50 16 … … PUNCT iogr-430 50 17 … … PUNCT iogr-430 50 18 … … PUNCT iogr-430 50 19 … … PUNCT iogr-430 50 20 … … PUNCT iogr-430 50 21 … … SYM iogr-430 50 22 . . NUM iogr-430 50 23 … … PUNCT iogr-430 50 24 … … PUNCT iogr-430 50 25 … … PUNCT iogr-430 50 26 … … PUNCT iogr-430 50 27 … … PUNCT iogr-430 50 28 … … PUNCT iogr-430 50 29 … … PUNCT iogr-430 50 30 … … PUNCT iogr-430 50 31 … … PUNCT iogr-430 50 32 … … PUNCT iogr-430 50 33 … … PUNCT iogr-430 50 34 … … PUNCT iogr-430 50 35 … … PUNCT iogr-430 50 36 … … PUNCT iogr-430 50 37 … … PUNCT iogr-430 50 38 … … PUNCT iogr-430 50 39 … … PUNCT iogr-430 50 40 .. .. PUNCT iogr-430 50 41 … … PUNCT iogr-430 50 42 . . NUM iogr-430 50 43 … … PUNCT iogr-430 50 44 .. .. PUNCT iogr-430 50 45 (13 (13 X iogr-430 50 46 ) ) PUNCT iogr-430 50 47 where where SCONJ iogr-430 50 48 re re NOUN iogr-430 50 49 is be AUX iogr-430 50 50 the the DET iogr-430 50 51 reynolds reynold NOUN iogr-430 50 52 ’ ' PUNCT iogr-430 50 53 number number NOUN iogr-430 50 54 , , PUNCT iogr-430 50 55 which which PRON iogr-430 50 56 is be AUX iogr-430 50 57 the the DET iogr-430 50 58 ratio ratio NOUN iogr-430 50 59 between between ADP iogr-430 50 60 the the DET iogr-430 50 61 inertial inertial NOUN iogr-430 50 62 and and CCONJ iogr-430 50 63 the the DET iogr-430 50 64 viscous viscous ADJ iogr-430 50 65 forces force NOUN iogr-430 50 66 ; ; PUNCT iogr-430 50 67 fr fr PROPN iogr-430 50 68 is be AUX iogr-430 50 69 the the DET iogr-430 50 70 froude froude ADJ iogr-430 50 71 number number NOUN iogr-430 50 72 , , PUNCT iogr-430 50 73 which which PRON iogr-430 50 74 is be AUX iogr-430 50 75 the the DET iogr-430 50 76 square square ADJ iogr-430 50 77 - - PUNCT iogr-430 50 78 root root NOUN iogr-430 50 79 of of ADP iogr-430 50 80 the the DET iogr-430 50 81 ratio ratio NOUN iogr-430 50 82 between between ADP iogr-430 50 83 kinetic kinetic ADJ iogr-430 50 84 energy energy NOUN iogr-430 50 85 and and CCONJ iogr-430 50 86 potential potential ADJ iogr-430 50 87 energy energy NOUN iogr-430 50 88 due due ADP iogr-430 50 89 to to ADP iogr-430 50 90 gravity gravity NOUN iogr-430 50 91 ; ; PUNCT iogr-430 50 92 ar ar NOUN iogr-430 50 93 is be AUX iogr-430 50 94 a a DET iogr-430 50 95 square square NOUN iogr-430 50 96 of of ADP iogr-430 50 97 aspect aspect NOUN iogr-430 50 98 ratio ratio NOUN iogr-430 50 99 ; ; PUNCT iogr-430 50 100 and and CCONJ iogr-430 50 101 sc sc PROPN iogr-430 50 102 is be AUX iogr-430 50 103 schmidt schmidt PROPN iogr-430 50 104 ’s ’s PART iogr-430 50 105 number number NOUN iogr-430 50 106 . . PUNCT iogr-430 51 1 note note VERB iogr-430 51 2 that that SCONJ iogr-430 51 3 h h NOUN iogr-430 51 4 plays play VERB iogr-430 51 5 an an DET iogr-430 51 6 important important ADJ iogr-430 51 7 role role NOUN iogr-430 51 8 of of ADP iogr-430 51 9 providing provide VERB iogr-430 51 10 a a DET iogr-430 51 11 length length NOUN iogr-430 51 12 scale scale NOUN iogr-430 51 13 . . PUNCT iogr-430 52 1 finally finally ADV iogr-430 52 2 , , PUNCT iogr-430 52 3 δ𝜌~πœŒπ‘œwhere δ𝜌~πœŒπ‘œwhere ADP iogr-430 52 4 two two NUM iogr-430 52 5 values value NOUN iogr-430 52 6 of of ADP iogr-430 52 7 specific specific ADJ iogr-430 52 8 gravities gravity NOUN iogr-430 52 9 of of ADP iogr-430 52 10 oil oil NOUN iogr-430 52 11 , , PUNCT iogr-430 52 12 0.8 0.8 NUM iogr-430 52 13 and and CCONJ iogr-430 52 14 0.9 0.9 NUM iogr-430 52 15 are be AUX iogr-430 52 16 used use VERB iogr-430 52 17 . . PUNCT iogr-430 53 1 diffusivity diffusivity NOUN iogr-430 53 2 at at ADP iogr-430 53 3 infinite infinite ADJ iogr-430 53 4 dilution dilution NOUN iogr-430 53 5 do do AUX iogr-430 53 6 is be AUX iogr-430 53 7 difficult difficult ADJ iogr-430 53 8 to to PART iogr-430 53 9 find find VERB iogr-430 53 10 , , PUNCT iogr-430 53 11 and and CCONJ iogr-430 53 12 stokes stokes PROPN iogr-430 53 13 - - PUNCT iogr-430 53 14 einstein einstein NOUN iogr-430 53 15 ’s ’s PART iogr-430 53 16 equation equation NOUN iogr-430 53 17 is be AUX iogr-430 53 18 used use VERB iogr-430 53 19 to to PART iogr-430 53 20 calculate calculate VERB iogr-430 53 21 this this DET iogr-430 53 22 value value NOUN iogr-430 53 23 following follow VERB iogr-430 53 24 mohan mohan PROPN iogr-430 53 25 et et PROPN iogr-430 53 26 al al PROPN iogr-430 53 27 . . PROPN iogr-430 54 1 ( ( PUNCT iogr-430 54 2 2017 2017 NUM iogr-430 54 3 ) ) PUNCT iogr-430 54 4 . . PUNCT iogr-430 55 1 note note VERB iogr-430 55 2 the the DET iogr-430 55 3 inverse inverse NOUN iogr-430 55 4 relation relation NOUN iogr-430 55 5 do do AUX iogr-430 55 6 is be AUX iogr-430 55 7 defined define VERB iogr-430 55 8 as as ADP iogr-430 55 9 π·π‘œ π·π‘œ PROPN iogr-430 55 10 = = PUNCT iogr-430 55 11 𝐡/πœ‡π‘œ 𝐡/πœ‡π‘œ PROPN iogr-430 55 12 , , PUNCT iogr-430 55 13 … … PUNCT iogr-430 55 14 … … PUNCT iogr-430 55 15 … … PUNCT iogr-430 55 16 … … PUNCT iogr-430 55 17 … … PUNCT iogr-430 55 18 … … PUNCT iogr-430 55 19 … … PUNCT iogr-430 55 20 … … PUNCT iogr-430 55 21 … … PUNCT iogr-430 55 22 … … PUNCT iogr-430 55 23 … … PUNCT iogr-430 55 24 … … PUNCT iogr-430 55 25 … … PUNCT iogr-430 55 26 … … PUNCT iogr-430 55 27 … … PUNCT iogr-430 55 28 … … PUNCT iogr-430 55 29 … … PUNCT iogr-430 55 30 … … PUNCT iogr-430 55 31 … … PUNCT iogr-430 55 32 … … PUNCT iogr-430 55 33 … … PUNCT iogr-430 55 34 … … PUNCT iogr-430 55 35 … … PUNCT iogr-430 55 36 … … PUNCT iogr-430 55 37 … … PUNCT iogr-430 55 38 … … PUNCT iogr-430 55 39 … … PUNCT iogr-430 55 40 … … PUNCT iogr-430 55 41 .. .. PUNCT iogr-430 55 42 … … PUNCT iogr-430 55 43 … … PUNCT iogr-430 55 44 … … PUNCT iogr-430 55 45 … … PUNCT iogr-430 55 46 … … PUNCT iogr-430 55 47 … … PUNCT iogr-430 55 48 … … PUNCT iogr-430 55 49 .. .. PUNCT iogr-430 55 50 ( ( PUNCT iogr-430 55 51 14 14 NUM iogr-430 55 52 ) ) PUNCT iogr-430 55 53 where where SCONJ iogr-430 55 54 b b NOUN iogr-430 55 55 is be AUX iogr-430 55 56 a a DET iogr-430 55 57 constant constant ADJ iogr-430 55 58 . . PUNCT iogr-430 56 1 since since SCONJ iogr-430 56 2 re re ADJ iogr-430 56 3 ( ( PUNCT iogr-430 56 4 flow flow NOUN iogr-430 56 5 rate rate NOUN iogr-430 56 6 ) ) PUNCT iogr-430 56 7 and and CCONJ iogr-430 56 8 fr fr PROPN iogr-430 56 9 ( ( PUNCT iogr-430 56 10 gravity gravity NOUN iogr-430 56 11 ) ) PUNCT iogr-430 56 12 are be AUX iogr-430 56 13 the the DET iogr-430 56 14 two two NUM iogr-430 56 15 important important ADJ iogr-430 56 16 variables variable NOUN iogr-430 56 17 , , PUNCT iogr-430 56 18 we we PRON iogr-430 56 19 plotted plot VERB iogr-430 56 20 re re VERB iogr-430 56 21 versus versus ADP iogr-430 56 22 fr fr PROPN iogr-430 56 23 and and CCONJ iogr-430 56 24 found find VERB iogr-430 56 25 that that SCONJ iogr-430 56 26 the the DET iogr-430 56 27 data datum NOUN iogr-430 56 28 compiled compile VERB iogr-430 56 29 by by ADP iogr-430 56 30 nenninger nenninger NOUN iogr-430 56 31 and and CCONJ iogr-430 56 32 dunn dunn PROPN iogr-430 56 33 ( ( PUNCT iogr-430 56 34 2008 2008 NUM iogr-430 56 35 ) ) PUNCT iogr-430 56 36 lay lie VERB iogr-430 56 37 on on ADP iogr-430 56 38 a a DET iogr-430 56 39 straight straight ADJ iogr-430 56 40 lines line NOUN iogr-430 56 41 . . PUNCT iogr-430 57 1 thus thus ADV iogr-430 57 2 , , PUNCT iogr-430 57 3 we we PRON iogr-430 57 4 take take VERB iogr-430 57 5 𝑅𝑒 𝑅𝑒 VERB iogr-430 57 6 = = PUNCT iogr-430 57 7 Ξ»πΉπ‘Ÿπ‘Žπ΄π‘Ÿπ‘π‘†π‘π‘, Ξ»πΉπ‘Ÿπ‘Žπ΄π‘Ÿπ‘π‘†π‘π‘, X iogr-430 57 8 … … NUM iogr-430 57 9 … … PUNCT iogr-430 57 10 … … PUNCT iogr-430 57 11 … … PUNCT iogr-430 57 12 … … PUNCT iogr-430 57 13 … … PUNCT iogr-430 57 14 … … PUNCT iogr-430 57 15 … … PUNCT iogr-430 57 16 … … PUNCT iogr-430 57 17 … … PUNCT iogr-430 57 18 … … PUNCT iogr-430 57 19 … … PUNCT iogr-430 57 20 … … PUNCT iogr-430 57 21 … … PUNCT iogr-430 57 22 … … PUNCT iogr-430 57 23 … … PUNCT iogr-430 57 24 … … PUNCT iogr-430 57 25 … … PUNCT iogr-430 57 26 … … PUNCT iogr-430 57 27 … … PUNCT iogr-430 57 28 … … PUNCT iogr-430 57 29 … … PUNCT iogr-430 57 30 … … PUNCT iogr-430 57 31 … … PUNCT iogr-430 57 32 … … PUNCT iogr-430 57 33 … … PUNCT iogr-430 57 34 … … PUNCT iogr-430 57 35 … … PUNCT iogr-430 57 36 … … PUNCT iogr-430 57 37 … … PUNCT iogr-430 57 38 … … SYM iogr-430 57 39 . . NUM iogr-430 57 40 … … PUNCT iogr-430 57 41 … … PUNCT iogr-430 57 42 (15 (15 X iogr-430 57 43 ) ) PUNCT iogr-430 57 44 where where SCONJ iogr-430 57 45 Ξ» Ξ» NOUN iogr-430 57 46 , , PUNCT iogr-430 57 47 a a DET iogr-430 57 48 , , PUNCT iogr-430 57 49 b b NOUN iogr-430 57 50 and and CCONJ iogr-430 57 51 c c PROPN iogr-430 57 52 are be AUX iogr-430 57 53 unknown unknown ADJ iogr-430 57 54 and and CCONJ iogr-430 57 55 set set VERB iogr-430 57 56 a a DET iogr-430 57 57 to to ADP iogr-430 57 58 1 1 NUM iogr-430 57 59 . . PUNCT iogr-430 58 1 we we PRON iogr-430 58 2 look look VERB iogr-430 58 3 at at ADP iogr-430 58 4 how how SCONJ iogr-430 58 5 wb wb PROPN iogr-430 58 6 is be AUX iogr-430 58 7 affected affect VERB iogr-430 58 8 by by ADP iogr-430 58 9 πœ™π‘˜ πœ™π‘˜ NOUN iogr-430 58 10 from from ADP iogr-430 58 11 eq eq ADP iogr-430 58 12 . . PROPN iogr-430 58 13 7 7 NUM iogr-430 58 14 and and CCONJ iogr-430 58 15 set set VERB iogr-430 58 16 the the DET iogr-430 58 17 net net ADJ iogr-430 58 18 power power NOUN iogr-430 58 19 on on ADP iogr-430 58 20 it it PRON iogr-430 58 21 to to PART iogr-430 58 22 Β½. Β½. VERB iogr-430 58 23 similarly similarly ADV iogr-430 58 24 , , PUNCT iogr-430 58 25 the the DET iogr-430 58 26 power power NOUN iogr-430 58 27 on on ADP iogr-430 58 28 πœ‡π‘œ πœ‡π‘œ PROPN iogr-430 58 29 is be AUX iogr-430 58 30 set set VERB iogr-430 58 31 to to ADP iogr-430 58 32 -Β½. -Β½. PUNCT iogr-430 58 33 as as ADP iogr-430 58 34 a a DET iogr-430 58 35 result result NOUN iogr-430 58 36 , , PUNCT iogr-430 58 37 b b NOUN iogr-430 58 38 and and CCONJ iogr-430 58 39 c c PROPN iogr-430 58 40 were be AUX iogr-430 58 41 calculated calculate VERB iogr-430 58 42 to to PART iogr-430 58 43 be be AUX iogr-430 58 44 Β½ Β½ NOUN iogr-430 58 45 and and CCONJ iogr-430 58 46 -ΒΌ. -ΒΌ. PROPN iogr-430 58 47 Ξ» Ξ» NOUN iogr-430 58 48 can can AUX iogr-430 58 49 be be AUX iogr-430 58 50 determined determine VERB iogr-430 58 51 by by ADP iogr-430 58 52 fitting fit VERB iogr-430 58 53 to to ADP iogr-430 58 54 the the DET iogr-430 58 55 data datum NOUN iogr-430 58 56 ( ( PUNCT iogr-430 58 57 figure figure NOUN iogr-430 58 58 2 2 NUM iogr-430 58 59 ) ) PUNCT iogr-430 58 60 and and CCONJ iogr-430 58 61 the the DET iogr-430 58 62 result result NOUN iogr-430 58 63 is be AUX iogr-430 58 64 shown show VERB iogr-430 58 65 below below ADP iogr-430 58 66 . . PUNCT iogr-430 59 1 πΉπ‘Ÿ πΉπ‘Ÿ PROPN iogr-430 59 2 𝑅𝑒 𝑅𝑒 PROPN iogr-430 59 3 = = SYM iogr-430 59 4 4 4 NUM iogr-430 59 5 Γ— Γ— NOUN iogr-430 59 6 10βˆ’6π΄π‘Ÿ1/2𝑆𝑐1/4 10βˆ’6π΄π‘Ÿ1/2𝑆𝑐1/4 NUM iogr-430 59 7 ... ... PUNCT iogr-430 59 8 … … PUNCT iogr-430 59 9 … … PUNCT iogr-430 59 10 … … PUNCT iogr-430 59 11 … … PUNCT iogr-430 59 12 … … PUNCT iogr-430 59 13 … … PUNCT iogr-430 59 14 … … PUNCT iogr-430 59 15 … … PUNCT iogr-430 59 16 … … PUNCT iogr-430 59 17 … … PUNCT iogr-430 59 18 … … PUNCT iogr-430 59 19 … … PUNCT iogr-430 59 20 … … PUNCT iogr-430 59 21 … … PUNCT iogr-430 59 22 … … PUNCT iogr-430 59 23 … … PUNCT iogr-430 59 24 … … PUNCT iogr-430 59 25 … … PUNCT iogr-430 59 26 … … PUNCT iogr-430 59 27 … … PUNCT iogr-430 59 28 … … PUNCT iogr-430 59 29 … … PUNCT iogr-430 59 30 … … PUNCT iogr-430 59 31 … … PUNCT iogr-430 59 32 … … PUNCT iogr-430 59 33 … … PUNCT iogr-430 59 34 … … PUNCT iogr-430 59 35 … … SYM iogr-430 59 36 . . NUM iogr-430 59 37 … … PUNCT iogr-430 59 38 ... ... PUNCT iogr-430 59 39 (16 (16 PUNCT iogr-430 59 40 ) ) PUNCT iogr-430 59 41 results result NOUN iogr-430 59 42 and and CCONJ iogr-430 59 43 discussion discussion NOUN iogr-430 59 44 eq eq ADP iogr-430 59 45 . . PROPN iogr-430 59 46 16 16 NUM iogr-430 59 47 and and CCONJ iogr-430 59 48 the the DET iogr-430 59 49 data datum NOUN iogr-430 59 50 ( ( PUNCT iogr-430 59 51 nenninger nenninger NOUN iogr-430 59 52 and and CCONJ iogr-430 59 53 dunn dunn PROPN iogr-430 59 54 2008 2008 NUM iogr-430 59 55 ) ) PUNCT iogr-430 59 56 have have AUX iogr-430 59 57 been be AUX iogr-430 59 58 plotted plot VERB iogr-430 59 59 in in ADP iogr-430 59 60 figure figure NOUN iogr-430 59 61 2 2 NUM iogr-430 59 62 using use VERB iogr-430 59 63 the the DET iogr-430 59 64 specific specific ADJ iogr-430 59 65 gravity gravity NOUN iogr-430 59 66 of of ADP iogr-430 59 67 heavy heavy ADJ iogr-430 59 68 oils oil NOUN iogr-430 59 69 to to PART iogr-430 59 70 be be AUX iogr-430 59 71 0.9 0.9 NUM iogr-430 59 72 . . PUNCT iogr-430 60 1 there there PRON iogr-430 60 2 are be VERB iogr-430 60 3 6 6 NUM iogr-430 60 4 outliers outlier NOUN iogr-430 60 5 in in ADP iogr-430 60 6 their their PRON iogr-430 60 7 group group NOUN iogr-430 60 8 of of ADP iogr-430 60 9 43 43 NUM iogr-430 60 10 on on ADP iogr-430 60 11 sandpacks sandpack NOUN iogr-430 60 12 that that PRON iogr-430 60 13 have have AUX iogr-430 60 14 been be AUX iogr-430 60 15 omitted omit VERB iogr-430 60 16 . . PUNCT iogr-430 61 1 of of ADP iogr-430 61 2 these these PRON iogr-430 61 3 , , PUNCT iogr-430 61 4 three three NUM iogr-430 61 5 points point NOUN iogr-430 61 6 are be AUX iogr-430 61 7 outliers outlier NOUN iogr-430 61 8 to to ADP iogr-430 61 9 eq eq NOUN iogr-430 61 10 . . PROPN iogr-430 61 11 7 7 NUM iogr-430 61 12 as as ADV iogr-430 61 13 well well ADV iogr-430 61 14 and and CCONJ iogr-430 61 15 the the DET iogr-430 61 16 other other ADJ iogr-430 61 17 three three NUM iogr-430 61 18 have have VERB iogr-430 61 19 combined combine VERB iogr-430 61 20 heat heat NOUN iogr-430 61 21 and and CCONJ iogr-430 61 22 mass mass NOUN iogr-430 61 23 transfer transfer NOUN iogr-430 61 24 . . PUNCT iogr-430 62 1 the the DET iogr-430 62 2 fit fit NOUN iogr-430 62 3 has have AUX iogr-430 62 4 been be AUX iogr-430 62 5 stretched stretch VERB iogr-430 62 6 in in ADP iogr-430 62 7 figure figure NOUN iogr-430 62 8 3 3 NUM iogr-430 62 9 to to PART iogr-430 62 10 show show VERB iogr-430 62 11 that that SCONJ iogr-430 62 12 it it PRON iogr-430 62 13 is be AUX iogr-430 62 14 excellent excellent ADJ iogr-430 62 15 at at ADP iogr-430 62 16 small small ADJ iogr-430 62 17 values value NOUN iogr-430 62 18 . . PUNCT iogr-430 63 1 this this PRON iogr-430 63 2 is be AUX iogr-430 63 3 good good ADJ iogr-430 63 4 , , PUNCT iogr-430 63 5 as as SCONJ iogr-430 63 6 the the DET iogr-430 63 7 rock rock NOUN iogr-430 63 8 data datum NOUN iogr-430 63 9 will will AUX iogr-430 63 10 show show VERB iogr-430 63 11 at at ADP iogr-430 63 12 even even ADV iogr-430 63 13 smaller small ADJ iogr-430 63 14 values value NOUN iogr-430 63 15 of of ADP iogr-430 63 16 βˆšπ‘˜/β„Ž. βˆšπ‘˜/β„Ž. NOUN iogr-430 63 17 4 4 NUM iogr-430 63 18 figure figure NOUN iogr-430 63 19 2 2 NUM iogr-430 63 20 β€” β€” PUNCT iogr-430 63 21 plots plot NOUN iogr-430 63 22 of of ADP iogr-430 63 23 fr fr NOUN iogr-430 63 24 / / SYM iogr-430 63 25 re re X iogr-430 63 26 against against ADP iogr-430 63 27 βˆšπ‘¨π’“βˆšπ‘Ίπ’„ βˆšπ‘¨π’“βˆšπ‘Ίπ’„ NOUN iogr-430 63 28 in in ADP iogr-430 63 29 sandpacks sandpack NOUN iogr-430 63 30 from from ADP iogr-430 63 31 the the DET iogr-430 63 32 compilation compilation NOUN iogr-430 63 33 by by ADP iogr-430 63 34 nenninger nenninger NOUN iogr-430 63 35 and and CCONJ iogr-430 63 36 dunn dunn PROPN iogr-430 63 37 ( ( PUNCT iogr-430 63 38 2008 2008 NUM iogr-430 63 39 ) ) PUNCT iogr-430 63 40 . . PUNCT iogr-430 64 1 specific specific ADJ iogr-430 64 2 gravity gravity NOUN iogr-430 64 3 of of ADP iogr-430 64 4 heavy heavy ADJ iogr-430 64 5 oil oil NOUN iogr-430 64 6 is be AUX iogr-430 64 7 taken take VERB iogr-430 64 8 to to PART iogr-430 64 9 be be AUX iogr-430 64 10 0.9 0.9 NUM iogr-430 64 11 . . PUNCT iogr-430 65 1 figure figure NOUN iogr-430 65 2 3 3 NUM iogr-430 65 3 β€” β€” PUNCT iogr-430 65 4 plots plot NOUN iogr-430 65 5 of of ADP iogr-430 65 6 fr fr NOUN iogr-430 65 7 / / SYM iogr-430 65 8 re re X iogr-430 65 9 against against ADP iogr-430 65 10 βˆšπ‘¨π’“βˆšπ‘Ίπ’„ βˆšπ‘¨π’“βˆšπ‘Ίπ’„ PROPN iogr-430 65 11 in in ADP iogr-430 65 12 logscale logscale NOUN iogr-430 65 13 . . PUNCT iogr-430 66 1 same same ADJ iogr-430 66 2 as as ADP iogr-430 66 3 in in ADP iogr-430 66 4 figure figure NOUN iogr-430 66 5 2 2 NUM iogr-430 66 6 to to PART iogr-430 66 7 show show VERB iogr-430 66 8 the the DET iogr-430 66 9 fit fit NOUN iogr-430 66 10 at at ADP iogr-430 66 11 small small ADJ iogr-430 66 12 values value NOUN iogr-430 66 13 of of ADP iogr-430 66 14 ar ar NOUN iogr-430 66 15 . . PUNCT iogr-430 67 1 there there PRON iogr-430 67 2 is be VERB iogr-430 67 3 more more ADJ iogr-430 67 4 scatter scatter NOUN iogr-430 67 5 at at ADP iogr-430 67 6 small small ADJ iogr-430 67 7 values value NOUN iogr-430 67 8 of of ADP iogr-430 67 9 h h NOUN iogr-430 67 10 ( ( PUNCT iogr-430 67 11 or or CCONJ iogr-430 67 12 large large ADJ iogr-430 67 13 ar ar NOUN iogr-430 67 14 ) ) PUNCT iogr-430 67 15 than than ADP iogr-430 67 16 large large ADJ iogr-430 67 17 values value NOUN iogr-430 67 18 . . PUNCT iogr-430 68 1 nenninger nenninger NOUN iogr-430 68 2 and and CCONJ iogr-430 68 3 dunn dunn PROPN iogr-430 68 4 ( ( PUNCT iogr-430 68 5 2008 2008 NUM iogr-430 68 6 ) ) PUNCT iogr-430 68 7 have have AUX iogr-430 68 8 also also ADV iogr-430 68 9 compiled compile VERB iogr-430 68 10 data datum NOUN iogr-430 68 11 on on ADP iogr-430 68 12 hele hele PROPN iogr-430 68 13 - - PUNCT iogr-430 68 14 shaw shaw PROPN iogr-430 68 15 cells cell NOUN iogr-430 68 16 ( ( PUNCT iogr-430 68 17 higher high ADJ iogr-430 68 18 ar ar NOUN iogr-430 68 19 values value NOUN iogr-430 68 20 ) ) PUNCT iogr-430 68 21 , , PUNCT iogr-430 68 22 which which PRON iogr-430 68 23 however however ADV iogr-430 68 24 had have VERB iogr-430 68 25 too too ADV iogr-430 68 26 much much ADJ iogr-430 68 27 scatter scatter NOUN iogr-430 68 28 and and CCONJ iogr-430 68 29 were be AUX iogr-430 68 30 not not PART iogr-430 68 31 considered consider VERB iogr-430 68 32 . . PUNCT iogr-430 69 1 eq eq X iogr-430 69 2 . . PROPN iogr-430 69 3 16 16 NUM iogr-430 69 4 can can AUX iogr-430 69 5 be be AUX iogr-430 69 6 re re VERB iogr-430 69 7 - - VERB iogr-430 69 8 expressed express VERB iogr-430 69 9 as as ADP iogr-430 69 10 π‘Šπ‘ π‘Šπ‘ PROPN iogr-430 69 11 = = NOUN iogr-430 69 12 25 25 NUM iogr-430 69 13 Γ— Γ— NOUN iogr-430 69 14 104√ 104√ NUM iogr-430 69 15 πœ™π‘˜ πœ™π‘˜ NOUN iogr-430 69 16 πœ‡π‘œ πœ‡π‘œ X iogr-430 69 17 ( ( PUNCT iogr-430 69 18 δ𝜌)5/4𝑔1/2𝐡1/4 δ𝜌)5/4𝑔1/2𝐡1/4 PROPN iogr-430 69 19 β„Ž1/2 β„Ž1/2 PROPN iogr-430 69 20 , , PUNCT iogr-430 69 21 … … PUNCT iogr-430 69 22 … … PUNCT iogr-430 69 23 … … PUNCT iogr-430 69 24 … … PUNCT iogr-430 69 25 … … PUNCT iogr-430 69 26 … … PUNCT iogr-430 69 27 … … PUNCT iogr-430 69 28 … … PUNCT iogr-430 69 29 … … PUNCT iogr-430 69 30 … … PUNCT iogr-430 69 31 … … PUNCT iogr-430 69 32 … … PUNCT iogr-430 69 33 … … PUNCT iogr-430 69 34 … … PUNCT iogr-430 69 35 … … PUNCT iogr-430 69 36 … … PUNCT iogr-430 69 37 … … PUNCT iogr-430 69 38 .. .. PUNCT iogr-430 69 39 … … PUNCT iogr-430 69 40 … … PUNCT iogr-430 69 41 … … PUNCT iogr-430 69 42 … … PUNCT iogr-430 69 43 … … PUNCT iogr-430 69 44 … … PUNCT iogr-430 69 45 … … PUNCT iogr-430 69 46 … … PUNCT iogr-430 69 47 ..... ..... PUNCT iogr-430 69 48 ( ( PUNCT iogr-430 69 49 17 17 NUM iogr-430 69 50 ) ) PUNCT iogr-430 69 51 or or CCONJ iogr-430 69 52 in in ADP iogr-430 69 53 terms term NOUN iogr-430 69 54 of of ADP iogr-430 69 55 qb qb PROPN iogr-430 69 56 , , PUNCT iogr-430 69 57 𝑄𝑏 𝑄𝑏 PROPN iogr-430 69 58 = = PUNCT iogr-430 70 1 25 25 NUM iogr-430 70 2 Γ— Γ— NOUN iogr-430 70 3 104βˆšπœ™π‘˜(δ𝜌)1/2π‘”β„Žπ·π‘œ 104βˆšπœ™π‘˜(δ𝜌)1/2π‘”β„Žπ·π‘œ NUM iogr-430 70 4 1/2 1/2 NUM iogr-430 70 5 πœ‡π‘œ πœ‡π‘œ ADP iogr-430 70 6 1/2 1/2 NUM iogr-430 70 7 , , PUNCT iogr-430 70 8 … … PUNCT iogr-430 70 9 … … PUNCT iogr-430 70 10 … … PUNCT iogr-430 70 11 … … PUNCT iogr-430 70 12 … … PUNCT iogr-430 70 13 … … PUNCT iogr-430 70 14 … … PUNCT iogr-430 70 15 … … PUNCT iogr-430 70 16 … … PUNCT iogr-430 70 17 … … PUNCT iogr-430 70 18 … … PUNCT iogr-430 70 19 … … PUNCT iogr-430 70 20 … … PUNCT iogr-430 70 21 … … PUNCT iogr-430 70 22 … … PUNCT iogr-430 70 23 … … PUNCT iogr-430 70 24 … … PUNCT iogr-430 70 25 … … PUNCT iogr-430 70 26 .. .. PUNCT iogr-430 70 27 … … PUNCT iogr-430 70 28 … … PUNCT iogr-430 70 29 … … PUNCT iogr-430 70 30 … … PUNCT iogr-430 70 31 … … PUNCT iogr-430 70 32 … … PUNCT iogr-430 70 33 … … PUNCT iogr-430 70 34 .. .. PUNCT iogr-430 70 35 … … PUNCT iogr-430 70 36 .. .. PUNCT iogr-430 70 37 ( ( PUNCT iogr-430 70 38 18 18 NUM iogr-430 70 39 ) ) PUNCT iogr-430 70 40 which which PRON iogr-430 70 41 supports support VERB iogr-430 70 42 the the DET iogr-430 70 43 result result NOUN iogr-430 70 44 that that SCONJ iogr-430 70 45 𝑄𝑏 𝑄𝑏 PROPN iogr-430 70 46 ∝ ∝ PROPN iogr-430 70 47 β„Ž1/2 β„Ž1/2 PROPN iogr-430 70 48 . . PUNCT iogr-430 70 49 0.0e+00 0.0e+00 NUM iogr-430 71 1 5.0e-06 5.0e-06 NOUN iogr-430 71 2 1.0e-05 1.0e-05 NUM iogr-430 72 1 1.5e-05 1.5e-05 NUM iogr-430 73 1 2.0e-05 2.0e-05 NUM iogr-430 73 2 2.5e-05 2.5e-05 NUM iogr-430 73 3 3.0e-05 3.0e-05 NUM iogr-430 73 4 3.5e-05 3.5e-05 NUM iogr-430 73 5 0 0 NUM iogr-430 73 6 1 1 NUM iogr-430 73 7 2 2 NUM iogr-430 73 8 3 3 NUM iogr-430 73 9 4 4 NUM iogr-430 73 10 5 5 NUM iogr-430 73 11 6 6 NUM iogr-430 73 12 f f NOUN iogr-430 73 13 r/ r/ ADV iogr-430 73 14 r r NOUN iogr-430 73 15 e e X iogr-430 73 16 √(π΄π‘Ÿβˆšπ‘†π‘ √(π΄π‘Ÿβˆšπ‘†π‘ X iogr-430 73 17 ) ) PUNCT iogr-430 73 18 0.00e+00 0.00e+00 NOUN iogr-430 74 1 5.00e-06 5.00e-06 NUM iogr-430 74 2 1.00e-05 1.00e-05 NUM iogr-430 74 3 1.50e-05 1.50e-05 NUM iogr-430 74 4 2.00e-05 2.00e-05 NUM iogr-430 74 5 2.50e-05 2.50e-05 NUM iogr-430 74 6 3.00e-05 3.00e-05 NUM iogr-430 74 7 0.01 0.01 NUM iogr-430 74 8 0.1 0.1 NUM iogr-430 74 9 1 1 NUM iogr-430 74 10 10 10 NUM iogr-430 74 11 f f NOUN iogr-430 74 12 r/ r/ ADV iogr-430 74 13 r r PROPN iogr-430 74 14 e e PROPN iogr-430 74 15 √(ar√sc √(ar√sc PROPN iogr-430 74 16 ) ) PUNCT iogr-430 74 17 5 5 NUM iogr-430 74 18 conclusions conclusion NOUN iogr-430 74 19 thus thus ADV iogr-430 74 20 , , PUNCT iogr-430 74 21 the the DET iogr-430 74 22 sandpack sandpack ADJ iogr-430 74 23 data data NOUN iogr-430 74 24 does do AUX iogr-430 74 25 indeed indeed ADV iogr-430 74 26 agree agree VERB iogr-430 74 27 with with ADP iogr-430 74 28 the the DET iogr-430 74 29 result result NOUN iogr-430 74 30 that that SCONJ iogr-430 74 31 for for ADP iogr-430 74 32 small small ADJ iogr-430 74 33 values value NOUN iogr-430 74 34 of of ADP iogr-430 74 35 βˆšπ‘˜/β„Ž βˆšπ‘˜/β„Ž PROPN iogr-430 74 36 , , PUNCT iogr-430 74 37 we we PRON iogr-430 74 38 should should AUX iogr-430 74 39 see see VERB iogr-430 74 40 a a DET iogr-430 74 41 β„Ž1/2 β„Ž1/2 PROPN iogr-430 74 42 dependence dependence NOUN iogr-430 74 43 . . PUNCT iogr-430 75 1 however however ADV iogr-430 75 2 , , PUNCT iogr-430 75 3 if if SCONJ iogr-430 75 4 we we PRON iogr-430 75 5 had have AUX iogr-430 75 6 done do VERB iogr-430 75 7 a a DET iogr-430 75 8 curve curve NOUN iogr-430 75 9 fit fit NOUN iogr-430 75 10 using using NOUN iogr-430 75 11 eq eq NOUN iogr-430 75 12 . . PROPN iogr-430 75 13 18 18 NUM iogr-430 75 14 then then ADV iogr-430 75 15 we we PRON iogr-430 75 16 may may AUX iogr-430 75 17 not not PART iogr-430 75 18 have have AUX iogr-430 75 19 obtained obtain VERB iogr-430 75 20 the the DET iogr-430 75 21 h h NOUN iogr-430 75 22 dependence dependence NOUN iogr-430 75 23 fully fully ADV iogr-430 75 24 as as SCONJ iogr-430 75 25 nenninger nenninger NOUN iogr-430 75 26 and and CCONJ iogr-430 75 27 dunn dunn PROPN iogr-430 75 28 ( ( PUNCT iogr-430 75 29 2008 2008 NUM iogr-430 75 30 ) ) PUNCT iogr-430 75 31 had have AUX iogr-430 75 32 experienced experience VERB iogr-430 75 33 . . PUNCT iogr-430 76 1 eq eq X iogr-430 76 2 . . NOUN iogr-430 76 3 2 2 NUM iogr-430 76 4 can can AUX iogr-430 76 5 be be AUX iogr-430 76 6 expressed express VERB iogr-430 76 7 as as ADP iogr-430 76 8 eq eq NOUN iogr-430 76 9 . . PROPN iogr-430 76 10 16 16 NUM iogr-430 76 11 if if SCONJ iogr-430 76 12 the the DET iogr-430 76 13 inverse inverse ADJ iogr-430 76 14 dependence dependence NOUN iogr-430 76 15 between between ADP iogr-430 76 16 diffusivity diffusivity NOUN iogr-430 76 17 and and CCONJ iogr-430 76 18 viscosity viscosity NOUN iogr-430 76 19 with with ADP iogr-430 76 20 b b NOUN iogr-430 76 21 and and CCONJ iogr-430 76 22 δρ δρ X iogr-430 76 23 ~ ~ PUNCT iogr-430 76 24 ρo ρo X iogr-430 76 25 are be AUX iogr-430 76 26 taken take VERB iogr-430 76 27 to to PART iogr-430 76 28 be be AUX iogr-430 76 29 constants constant NOUN iogr-430 76 30 . . PUNCT iogr-430 77 1 conflicts conflict NOUN iogr-430 77 2 of of ADP iogr-430 77 3 interest interest NOUN iogr-430 77 4 the the DET iogr-430 77 5 author(s author(s NOUN iogr-430 77 6 ) ) PUNCT iogr-430 77 7 declare declare VERB iogr-430 77 8 that that SCONJ iogr-430 77 9 they they PRON iogr-430 77 10 have have VERB iogr-430 77 11 no no DET iogr-430 77 12 conflicting conflict VERB iogr-430 77 13 interests interest NOUN iogr-430 77 14 . . PUNCT iogr-430 78 1 nomenclature nomenclature NOUN iogr-430 78 2 d d NOUN iogr-430 78 3 = = SYM iogr-430 78 4 diffusivity diffusivity NOUN iogr-430 78 5 do do NOUN iogr-430 78 6 = = NOUN iogr-430 78 7 diffusivity diffusivity NOUN iogr-430 78 8 at at ADP iogr-430 78 9 infinite infinite ADJ iogr-430 78 10 dilution dilution NOUN iogr-430 79 1 fr fr NOUN iogr-430 79 2 = = PUNCT iogr-430 79 3 froude froude NOUN iogr-430 79 4 number number NOUN iogr-430 79 5 g g NOUN iogr-430 79 6 = = NOUN iogr-430 79 7 acceleration acceleration NOUN iogr-430 79 8 due due ADP iogr-430 79 9 to to ADP iogr-430 79 10 gravity gravity NOUN iogr-430 79 11 h h NOUN iogr-430 79 12 = = PUNCT iogr-430 79 13 total total ADJ iogr-430 79 14 pay pay NOUN iogr-430 79 15 zone zone NOUN iogr-430 79 16 height height NOUN iogr-430 79 17 of of ADP iogr-430 79 18 the the DET iogr-430 79 19 system system NOUN iogr-430 79 20 k k NOUN iogr-430 79 21 = = PUNCT iogr-430 79 22 permeability permeability NOUN iogr-430 79 23 qb qb PROPN iogr-430 79 24 = = PROPN iogr-430 79 25 recovery recovery NOUN iogr-430 79 26 rate rate NOUN iogr-430 79 27 re re ADP iogr-430 79 28 = = PROPN iogr-430 79 29 reynolds reynolds PROPN iogr-430 79 30 ’ ' PUNCT iogr-430 79 31 number number NOUN iogr-430 79 32 sc sc PROPN iogr-430 79 33 = = PROPN iogr-430 79 34 schmidt schmidt PROPN iogr-430 79 35 ’s ’s PART iogr-430 79 36 number number NOUN iogr-430 79 37 wb wb NOUN iogr-430 79 38 = = PUNCT iogr-430 79 39 mass mass PROPN iogr-430 79 40 flux flux PROPN iogr-430 79 41 greek greek PROPN iogr-430 79 42 letters letter NOUN iogr-430 79 43 𝛼 𝛼 NOUN iogr-430 79 44 = = NOUN iogr-430 79 45 concentration concentration NOUN iogr-430 79 46 dependence dependence NOUN iogr-430 79 47 term term NOUN iogr-430 79 48 δ𝜌 δ𝜌 PROPN iogr-430 79 49 = = NOUN iogr-430 79 50 density density NOUN iogr-430 79 51 difference difference NOUN iogr-430 79 52 between between ADP iogr-430 79 53 oil oil NOUN iogr-430 79 54 and and CCONJ iogr-430 79 55 the the DET iogr-430 79 56 vapor vapor NOUN iogr-430 79 57 Ξ΄π‘†π‘œ Ξ΄π‘†π‘œ NOUN iogr-430 79 58 = = SYM iogr-430 79 59 difference difference NOUN iogr-430 79 60 in in ADP iogr-430 79 61 fractional fractional ADJ iogr-430 79 62 pore pore ADJ iogr-430 79 63 volume volume NOUN iogr-430 79 64 πœ‡ πœ‡ ADP iogr-430 79 65 = = NOUN iogr-430 79 66 viscosity viscosity NOUN iogr-430 79 67 πœ‡π‘œ πœ‡π‘œ NOUN iogr-430 79 68 = = NOUN iogr-430 79 69 viscosity viscosity NOUN iogr-430 79 70 of of ADP iogr-430 79 71 pure pure ADJ iogr-430 79 72 oil oil NOUN iogr-430 79 73 𝜌 𝜌 NOUN iogr-430 79 74 = = SYM iogr-430 79 75 total total ADJ iogr-430 79 76 density density NOUN iogr-430 79 77 πœŒπ‘œ πœŒπ‘œ NOUN iogr-430 79 78 = = SYM iogr-430 79 79 density density NOUN iogr-430 79 80 of of ADP iogr-430 79 81 pure pure ADJ iogr-430 79 82 oil oil NOUN iogr-430 79 83 πœ‘ πœ‘ NOUN iogr-430 80 1 = = PUNCT iogr-430 81 1 volume volume NOUN iogr-430 81 2 fraction fraction NOUN iogr-430 81 3 of of ADP iogr-430 81 4 solvent solvent NOUN iogr-430 81 5 πœ‘π‘œ πœ‘π‘œ NOUN iogr-430 81 6 = = NOUN iogr-430 81 7 solubility solubility NOUN iogr-430 81 8 of of ADP iogr-430 81 9 solvent solvent NOUN iogr-430 81 10 in in ADP iogr-430 81 11 oil oil NOUN iogr-430 81 12 πœ™ πœ™ NOUN iogr-430 82 1 = = PUNCT iogr-430 82 2 porosity porosity NOUN iogr-430 82 3 references reference NOUN iogr-430 82 4 banerjee banerjee PROPN iogr-430 82 5 , , PUNCT iogr-430 82 6 d. d. PROPN iogr-430 82 7 k. k. PROPN iogr-430 82 8 2012 2012 NUM iogr-430 82 9 . . PUNCT iogr-430 83 1 oil oil NOUN iogr-430 83 2 sands sand NOUN iogr-430 83 3 , , PUNCT iogr-430 83 4 heavy heavy ADJ iogr-430 83 5 oil oil NOUN iogr-430 83 6 and and CCONJ iogr-430 83 7 bitumen bituman NOUN iogr-430 83 8 , , PUNCT iogr-430 83 9 from from ADP iogr-430 83 10 recovery recovery NOUN iogr-430 83 11 to to ADP iogr-430 83 12 refinery refinery NOUN iogr-430 83 13 . . PUNCT iogr-430 84 1 tulsa tulsa PROPN iogr-430 84 2 , , PUNCT iogr-430 84 3 ok ok INTJ iogr-430 84 4 , , PUNCT iogr-430 84 5 us we PRON iogr-430 84 6 : : PUNCT iogr-430 84 7 penn penn PROPN iogr-430 84 8 well well PROPN iogr-430 84 9 corp corp PROPN iogr-430 84 10 . . PROPN iogr-430 84 11 mokrys mokrys PROPN iogr-430 84 12 , , PUNCT iogr-430 84 13 i. i. PROPN iogr-430 84 14 j. j. PROPN iogr-430 84 15 and and CCONJ iogr-430 84 16 butler butler PROPN iogr-430 84 17 , , PUNCT iogr-430 84 18 r. r. PROPN iogr-430 84 19 m. m. PROPN iogr-430 84 20 1993 1993 NUM iogr-430 84 21 . . PUNCT iogr-430 85 1 the the DET iogr-430 85 2 rise rise NOUN iogr-430 85 3 of of ADP iogr-430 85 4 interfering interfere VERB iogr-430 85 5 solvent solvent ADJ iogr-430 85 6 chambers chamber NOUN iogr-430 85 7 : : PUNCT iogr-430 85 8 solvent solvent ADJ iogr-430 85 9 analog analog NOUN iogr-430 85 10 model model NOUN iogr-430 85 11 of of ADP iogr-430 85 12 steamassisted steamassiste VERB iogr-430 85 13 gravity gravity NOUN iogr-430 85 14 drainage drainage NOUN iogr-430 85 15 . . PUNCT iogr-430 86 1 journal journal NOUN iogr-430 86 2 of of ADP iogr-430 86 3 canadian canadian ADJ iogr-430 86 4 petroleum petroleum NOUN iogr-430 86 5 technology technology NOUN iogr-430 86 6 32(3 32(3 NUM iogr-430 86 7 ): ): PUNCT iogr-430 86 8 26 26 NUM iogr-430 86 9 - - SYM iogr-430 86 10 36 36 NUM iogr-430 86 11 . . PUNCT iogr-430 87 1 cuthiell cuthiell PROPN iogr-430 87 2 , , PUNCT iogr-430 87 3 d. d. PROPN iogr-430 87 4 and and CCONJ iogr-430 87 5 edmunds edmunds PROPN iogr-430 87 6 , , PUNCT iogr-430 87 7 n. n. NOUN iogr-430 87 8 2013 2013 NUM iogr-430 87 9 . . PUNCT iogr-430 88 1 thoughts thought NOUN iogr-430 88 2 on on ADP iogr-430 88 3 simulating simulate VERB iogr-430 88 4 the the DET iogr-430 88 5 vapex vapex ADJ iogr-430 88 6 process process NOUN iogr-430 88 7 . . PUNCT iogr-430 89 1 journal journal PROPN iogr-430 89 2 of of ADP iogr-430 89 3 canadian canadian ADJ iogr-430 89 4 petroleum petroleum NOUN iogr-430 89 5 technology technology NOUN iogr-430 89 6 52(3):192 52(3):192 NOUN iogr-430 89 7 - - PUNCT iogr-430 89 8 203 203 NUM iogr-430 89 9 . . PUNCT iogr-430 90 1 spe-158499 spe-158499 PROPN iogr-430 90 2 - - PUNCT iogr-430 90 3 pa pa PROPN iogr-430 90 4 . . PUNCT iogr-430 90 5 haghighat haghighat PROPN iogr-430 90 6 , , PUNCT iogr-430 90 7 p. p. NOUN iogr-430 90 8 and and CCONJ iogr-430 90 9 maini maini PROPN iogr-430 90 10 , , PUNCT iogr-430 90 11 b. b. PROPN iogr-430 90 12 b. b. PROPN iogr-430 90 13 2012 2012 NUM iogr-430 90 14 . . PUNCT iogr-430 91 1 experimental experimental ADJ iogr-430 91 2 evaluation evaluation NOUN iogr-430 91 3 of of ADP iogr-430 91 4 heated heated ADJ iogr-430 91 5 vapex vapex ADJ iogr-430 91 6 process process NOUN iogr-430 91 7 . . PUNCT iogr-430 92 1 paper paper NOUN iogr-430 92 2 presented present VERB iogr-430 92 3 at at ADP iogr-430 92 4 spe spe PROPN iogr-430 92 5 heavy heavy ADJ iogr-430 92 6 oil oil NOUN iogr-430 92 7 conference conference NOUN iogr-430 92 8 , , PUNCT iogr-430 92 9 alberta alberta PROPN iogr-430 92 10 , , PUNCT iogr-430 92 11 canada canada PROPN iogr-430 92 12 , , PUNCT iogr-430 92 13 12 12 NUM iogr-430 92 14 - - SYM iogr-430 92 15 14 14 NUM iogr-430 92 16 june june PROPN iogr-430 92 17 . . PUNCT iogr-430 93 1 spe-157799 spe-157799 PROPN iogr-430 93 2 - - PUNCT iogr-430 93 3 ms ms PROPN iogr-430 93 4 . . PROPN iogr-430 93 5 karmakar karmakar PROPN iogr-430 93 6 , , PUNCT iogr-430 93 7 k. k. PROPN iogr-430 93 8 and and CCONJ iogr-430 93 9 maini maini PROPN iogr-430 93 10 , , PUNCT iogr-430 93 11 b. b. PROPN iogr-430 93 12 b. b. PROPN iogr-430 93 13 2003 2003 NUM iogr-430 93 14 . . PUNCT iogr-430 94 1 experimental experimental ADJ iogr-430 94 2 investigation investigation NOUN iogr-430 94 3 of of ADP iogr-430 94 4 oil oil NOUN iogr-430 94 5 drainage drainage NOUN iogr-430 94 6 rates rate NOUN iogr-430 94 7 in in ADP iogr-430 94 8 vapex vapex ADJ iogr-430 94 9 process process NOUN iogr-430 94 10 for for ADP iogr-430 94 11 heavy heavy ADJ iogr-430 94 12 oil oil NOUN iogr-430 94 13 and and CCONJ iogr-430 94 14 bitumen bitumen NOUN iogr-430 94 15 reservoirs reservoir NOUN iogr-430 94 16 . . PUNCT iogr-430 95 1 paper paper NOUN iogr-430 95 2 presented present VERB iogr-430 95 3 at at ADP iogr-430 95 4 spe spe PROPN iogr-430 95 5 annual annual ADJ iogr-430 95 6 technical technical ADJ iogr-430 95 7 conference conference NOUN iogr-430 95 8 and and CCONJ iogr-430 95 9 exhibition exhibition NOUN iogr-430 95 10 , , PUNCT iogr-430 95 11 denver denver PROPN iogr-430 95 12 , , PUNCT iogr-430 95 13 colorado colorado PROPN iogr-430 95 14 , , PUNCT iogr-430 95 15 5 5 NUM iogr-430 95 16 - - SYM iogr-430 95 17 8 8 NUM iogr-430 95 18 october october PROPN iogr-430 95 19 . . PUNCT iogr-430 96 1 spe-84199 spe-84199 PROPN iogr-430 96 2 - - PUNCT iogr-430 96 3 ms ms PROPN iogr-430 96 4 . . PROPN iogr-430 96 5 mohan mohan PROPN iogr-430 96 6 , , PUNCT iogr-430 96 7 v. v. PROPN iogr-430 96 8 , , PUNCT iogr-430 96 9 neogi neogi PROPN iogr-430 96 10 , , PUNCT iogr-430 96 11 p. p. NOUN iogr-430 96 12 , , PUNCT iogr-430 96 13 and and CCONJ iogr-430 96 14 bai bai PROPN iogr-430 96 15 , , PUNCT iogr-430 96 16 b. b. PROPN iogr-430 96 17 2019 2019 NUM iogr-430 96 18 . . PUNCT iogr-430 97 1 revisiting revisit VERB iogr-430 97 2 butler butler NOUN iogr-430 97 3 - - PUNCT iogr-430 97 4 mokrys mokrys NOUN iogr-430 97 5 model model NOUN iogr-430 97 6 for for ADP iogr-430 97 7 vapex vapex ADJ iogr-430 97 8 process process NOUN iogr-430 97 9 . . PUNCT iogr-430 98 1 soc soc PROPN iogr-430 98 2 . . PUNCT iogr-430 99 1 pet pet PROPN iogr-430 99 2 . . PUNCT iogr-430 100 1 eng eng PROPN iogr-430 100 2 , , PUNCT iogr-430 100 3 j. j. PROPN iogr-430 100 4 24(2 24(2 PROPN iogr-430 100 5 ): ): PUNCT iogr-430 100 6 511 511 NUM iogr-430 100 7 - - SYM iogr-430 100 8 521 521 NUM iogr-430 100 9 . . NOUN iogr-430 100 10 spe-194212 spe-194212 PROPN iogr-430 100 11 - - PUNCT iogr-430 100 12 pa pa PROPN iogr-430 100 13 . . PROPN iogr-430 101 1 mohan mohan PROPN iogr-430 101 2 , , PUNCT iogr-430 101 3 v. v. PROPN iogr-430 101 4 , , PUNCT iogr-430 101 5 neogi neogi PROPN iogr-430 101 6 , , PUNCT iogr-430 101 7 p. p. NOUN iogr-430 101 8 , , PUNCT iogr-430 101 9 and and CCONJ iogr-430 101 10 bai bai PROPN iogr-430 101 11 , , PUNCT iogr-430 101 12 b. b. PROPN iogr-430 101 13 2017 2017 NUM iogr-430 101 14 . . PUNCT iogr-430 102 1 concentration concentration NOUN iogr-430 102 2 dependent dependent ADJ iogr-430 102 3 diffusivities diffusivitie NOUN iogr-430 102 4 of of ADP iogr-430 102 5 model model NOUN iogr-430 102 6 solvents solvent NOUN iogr-430 102 7 in in ADP iogr-430 102 8 heavy heavy ADJ iogr-430 102 9 oil oil NOUN iogr-430 102 10 . . PUNCT iogr-430 103 1 diffusion diffusion NOUN iogr-430 103 2 fundamentals fundamental NOUN iogr-430 103 3 27(3):1 27(3):1 PROPN iogr-430 103 4 - - SYM iogr-430 103 5 27 27 NUM iogr-430 103 6 . . NOUN iogr-430 103 7 6 6 NUM iogr-430 103 8 nenninger nenninger NOUN iogr-430 103 9 , , PUNCT iogr-430 103 10 j. j. PROPN iogr-430 103 11 e. e. PROPN iogr-430 103 12 and and CCONJ iogr-430 103 13 dunn dunn PROPN iogr-430 103 14 , , PUNCT iogr-430 103 15 s. s. PROPN iogr-430 103 16 g. g. PROPN iogr-430 103 17 2008 2008 NUM iogr-430 103 18 . . PUNCT iogr-430 104 1 how how SCONJ iogr-430 104 2 fast fast ADV iogr-430 104 3 is be AUX iogr-430 104 4 solvent solvent ADJ iogr-430 104 5 based base VERB iogr-430 104 6 gravity gravity NOUN iogr-430 104 7 drainage drainage NOUN iogr-430 104 8 ? ? PUNCT iogr-430 105 1 paper paper NOUN iogr-430 105 2 presented present VERB iogr-430 105 3 at at ADP iogr-430 105 4 canadian canadian ADJ iogr-430 105 5 international international ADJ iogr-430 105 6 petroleum petroleum NOUN iogr-430 105 7 conference conference NOUN iogr-430 105 8 , , PUNCT iogr-430 105 9 calgary calgary PROPN iogr-430 105 10 , , PUNCT iogr-430 105 11 alberta alberta PROPN iogr-430 105 12 , , PUNCT iogr-430 105 13 canada canada PROPN iogr-430 105 14 , , PUNCT iogr-430 105 15 17 17 NUM iogr-430 105 16 - - SYM iogr-430 105 17 19 19 NUM iogr-430 105 18 june june PROPN iogr-430 105 19 . . PUNCT iogr-430 106 1 petsoc-2008 petsoc-2008 NOUN iogr-430 106 2 - - PUNCT iogr-430 106 3 139 139 NUM iogr-430 106 4 . . PUNCT iogr-430 107 1 yazdani yazdani PROPN iogr-430 107 2 , , PUNCT iogr-430 107 3 a. a. NOUN iogr-430 107 4 and and CCONJ iogr-430 107 5 maini maini PROPN iogr-430 107 6 , , PUNCT iogr-430 107 7 b. b. PROPN iogr-430 107 8 2005 2005 NUM iogr-430 107 9 . . PUNCT iogr-430 108 1 effect effect NOUN iogr-430 108 2 of of ADP iogr-430 108 3 drainage drainage NOUN iogr-430 108 4 height height NOUN iogr-430 108 5 and and CCONJ iogr-430 108 6 grain grain NOUN iogr-430 108 7 size size NOUN iogr-430 108 8 on on ADP iogr-430 108 9 production production NOUN iogr-430 108 10 rates rate NOUN iogr-430 108 11 in in ADP iogr-430 108 12 the the DET iogr-430 108 13 vapex vapex ADJ iogr-430 108 14 process process NOUN iogr-430 108 15 : : PUNCT iogr-430 108 16 experimental experimental ADJ iogr-430 108 17 study study NOUN iogr-430 108 18 . . PUNCT iogr-430 109 1 soc soc PROPN iogr-430 109 2 . . PUNCT iogr-430 110 1 pet pet PROPN iogr-430 110 2 . . PUNCT iogr-430 111 1 eng eng PROPN iogr-430 111 2 . . PUNCT iogr-430 112 1 res res PROPN iogr-430 112 2 . . PUNCT iogr-430 113 1 eval eval PROPN iogr-430 113 2 . . PUNCT iogr-430 114 1 eng eng PROPN iogr-430 114 2 . . PUNCT iogr-430 114 3 8(3 8(3 NUM iogr-430 114 4 ): ): PUNCT iogr-430 114 5 205 205 NUM iogr-430 114 6 - - SYM iogr-430 114 7 212 212 NUM iogr-430 114 8 . . PUNCT iogr-430 114 9 spe-89409 spe-89409 PROPN iogr-430 114 10 - - PUNCT iogr-430 114 11 pa pa PROPN iogr-430 114 12 . . PROPN iogr-430 114 13 vijitha vijitha PROPN iogr-430 114 14 mohan mohan PROPN iogr-430 114 15 received receive VERB iogr-430 114 16 her her PRON iogr-430 114 17 phd phd NOUN iogr-430 114 18 in in ADP iogr-430 114 19 chemical chemical NOUN iogr-430 114 20 engineering engineering NOUN iogr-430 114 21 from from ADP iogr-430 114 22 missouri missouri PROPN iogr-430 114 23 university university PROPN iogr-430 114 24 of of ADP iogr-430 114 25 science science NOUN iogr-430 114 26 and and CCONJ iogr-430 114 27 technology technology NOUN iogr-430 114 28 and and CCONJ iogr-430 114 29 served serve VERB iogr-430 114 30 as as ADP iogr-430 114 31 a a DET iogr-430 114 32 lecturer lecturer NOUN iogr-430 114 33 after after ADP iogr-430 114 34 graduation graduation NOUN iogr-430 114 35 . . PUNCT iogr-430 115 1 her her PRON iogr-430 115 2 research research NOUN iogr-430 115 3 interests interest NOUN iogr-430 115 4 lie lie VERB iogr-430 115 5 in in ADP iogr-430 115 6 heavy heavy ADJ iogr-430 115 7 oil oil NOUN iogr-430 115 8 recovery recovery NOUN iogr-430 115 9 . . PUNCT iogr-430 116 1 she she PRON iogr-430 116 2 acquired acquire VERB iogr-430 116 3 her she PRON iogr-430 116 4 b.tech b.tech NOUN iogr-430 116 5 in in ADP iogr-430 116 6 chemical chemical ADJ iogr-430 116 7 engineering engineering NOUN iogr-430 116 8 from from ADP iogr-430 116 9 university university PROPN iogr-430 116 10 of of ADP iogr-430 116 11 madras madras PROPN iogr-430 116 12 and and CCONJ iogr-430 116 13 m.s m.s PROPN iogr-430 116 14 in in ADP iogr-430 116 15 chemical chemical NOUN iogr-430 116 16 engineering engineering NOUN iogr-430 116 17 from from ADP iogr-430 116 18 mississippi mississippi PROPN iogr-430 116 19 state state PROPN iogr-430 116 20 university university PROPN iogr-430 116 21 . . PUNCT iogr-430 117 1 she she PRON iogr-430 117 2 is be AUX iogr-430 117 3 now now ADV iogr-430 117 4 employed employ VERB iogr-430 117 5 in in ADP iogr-430 117 6 alberta alberta PROPN iogr-430 117 7 , , PUNCT iogr-430 117 8 canada canada PROPN iogr-430 117 9 . . PUNCT iogr-430 118 1 parthasakha parthasakha PROPN iogr-430 118 2 neogi neogi PROPN iogr-430 118 3 , , PUNCT iogr-430 118 4 spe spe PROPN iogr-430 118 5 , , PUNCT iogr-430 118 6 is be AUX iogr-430 118 7 a a DET iogr-430 118 8 professor professor NOUN iogr-430 118 9 of of ADP iogr-430 118 10 chemical chemical NOUN iogr-430 118 11 engineering engineering NOUN iogr-430 118 12 at at ADP iogr-430 118 13 missouri missouri PROPN iogr-430 118 14 university university PROPN iogr-430 118 15 of of ADP iogr-430 118 16 science science NOUN iogr-430 118 17 and and CCONJ iogr-430 118 18 technology technology NOUN iogr-430 118 19 , , PUNCT iogr-430 118 20 where where SCONJ iogr-430 118 21 he he PRON iogr-430 118 22 has have AUX iogr-430 118 23 worked work VERB iogr-430 118 24 as as ADP iogr-430 118 25 faculty faculty NOUN iogr-430 118 26 for for ADP iogr-430 118 27 the the DET iogr-430 118 28 last last ADJ iogr-430 118 29 36 36 NUM iogr-430 118 30 years year NOUN iogr-430 118 31 . . PUNCT iogr-430 119 1 his his PRON iogr-430 119 2 research research NOUN iogr-430 119 3 interests interest NOUN iogr-430 119 4 are be AUX iogr-430 119 5 in in ADP iogr-430 119 6 wetting wetting NOUN iogr-430 119 7 , , PUNCT iogr-430 119 8 surfactants surfactant NOUN iogr-430 119 9 and and CCONJ iogr-430 119 10 polymers polymer NOUN iogr-430 119 11 , , PUNCT iogr-430 119 12 and and CCONJ iogr-430 119 13 in in ADP iogr-430 119 14 interfacial interfacial ADJ iogr-430 119 15 transport transport NOUN iogr-430 119 16 phenomena phenomenon NOUN iogr-430 119 17 . . PUNCT iogr-430 120 1 he he PRON iogr-430 120 2 holds hold VERB iogr-430 120 3 b.tech b.tech NOUN iogr-430 120 4 . . PUNCT iogr-430 121 1 ( ( PUNCT iogr-430 121 2 hons hon NOUN iogr-430 121 3 . . PUNCT iogr-430 121 4 ) ) PUNCT iogr-430 122 1 from from ADP iogr-430 122 2 the the DET iogr-430 122 3 indian indian PROPN iogr-430 122 4 institute institute PROPN iogr-430 122 5 of of ADP iogr-430 122 6 technology technology PROPN iogr-430 122 7 kharagpur kharagpur PROPN iogr-430 122 8 , , PUNCT iogr-430 122 9 m. m. NOUN iogr-430 122 10 tech tech NOUN iogr-430 122 11 . . PUNCT iogr-430 123 1 from from ADP iogr-430 123 2 the the DET iogr-430 123 3 indian indian PROPN iogr-430 123 4 institute institute PROPN iogr-430 123 5 of of ADP iogr-430 123 6 technology technology PROPN iogr-430 123 7 kanpur kanpur PROPN iogr-430 123 8 , , PUNCT iogr-430 123 9 and and CCONJ iogr-430 123 10 ph.d ph.d PROPN iogr-430 123 11 . . PROPN iogr-430 124 1 from from ADP iogr-430 124 2 carnegie carnegie NOUN iogr-430 124 3 - - PUNCT iogr-430 124 4 mellon mellon PROPN iogr-430 124 5 university university NOUN iogr-430 124 6 , , PUNCT iogr-430 124 7 all all PRON iogr-430 124 8 in in ADP iogr-430 124 9 chemical chemical ADJ iogr-430 124 10 engineering engineering NOUN iogr-430 124 11 . . PUNCT