id	sid	eid	entity	type
ejpam-5595	1	1	european journal	ORG
ejpam-5595	1	2	2025	DATE
ejpam-5595	1	3	18	CARDINAL
ejpam-5595	1	4	1	CARDINAL
ejpam-5595	1	5	5595	CARDINAL
ejpam-5595	1	6	new york	GPE
ejpam-5595	1	7	walters b′	PRODUCT
ejpam-5595	1	8	medium mohamed f. el-sayed2	PERSON
ejpam-5595	1	9	doaa m. mostafa1,2∗	PERSON
ejpam-5595	1	10	m. f. alrashdi1	PERSON
ejpam-5595	2	1	51452	DATE
ejpam-5595	2	2	saudi arabia	GPE
ejpam-5595	2	3	2	CARDINAL
ejpam-5595	2	4	ain shams university	ORG
ejpam-5595	2	5	heliopolis	GPE
ejpam-5595	2	6	roxy	GPE
ejpam-5595	2	7	cairo	GPE
ejpam-5595	2	8	egypt	GPE
ejpam-5595	3	1	walters b′	PRODUCT
ejpam-5595	9	1	2020	DATE
ejpam-5595	9	2	76a05	CARDINAL
ejpam-5595	9	3	76e17	CARDINAL
ejpam-5595	10	1	m. f. el-sayed	PERSON
ejpam-5595	10	2	do.elsayed@qu.edu.sa	ORG
ejpam-5595	10	3	doaa−mohamady@edu.asu.edu.eg	PERSON
ejpam-5595	10	4	441212388@qu.edu.sa	CARDINAL
ejpam-5595	10	5	a. m. f. alrashdi	PERSON
ejpam-5595	11	1	1	CARDINAL
ejpam-5595	11	2	2025	CARDINAL
ejpam-5595	12	1	m. f. el-sayed	PERSON
ejpam-5595	12	2	d. m. mostafa	PERSON
ejpam-5595	12	3	a. m. f. alrashdi	PERSON
ejpam-5595	13	1	j. pure	PERSON
ejpam-5595	13	2	18	CARDINAL
ejpam-5595	13	3	1	CARDINAL
ejpam-5595	13	4	2025	CARDINAL
ejpam-5595	13	5	5595 2	DATE
ejpam-5595	13	6	φ electric	ORG
ejpam-5595	14	1	first	ORDINAL
ejpam-5595	14	2	first	ORDINAL
ejpam-5595	14	3	first	ORDINAL
ejpam-5595	14	4	second	ORDINAL
ejpam-5595	14	5	i0	ORG
ejpam-5595	14	6	zero	CARDINAL
ejpam-5595	14	7	first	ORDINAL
ejpam-5595	14	8	k0	ORG
ejpam-5595	14	9	zero	CARDINAL
ejpam-5595	14	10	second	ORDINAL
ejpam-5595	14	11	1	CARDINAL
ejpam-5595	18	1	nonnewtonian liquids	PERSON
ejpam-5595	18	2	22	CARDINAL
ejpam-5595	18	3	25	CARDINAL
ejpam-5595	19	1	ibrahim	PERSON
ejpam-5595	20	1	18	CARDINAL
ejpam-5595	21	1	ibrahim	PERSON
ejpam-5595	21	2	marshall	PERSON
ejpam-5595	22	1	19	CARDINAL
ejpam-5595	26	1	10	CARDINAL
ejpam-5595	27	1	1	CARDINAL
ejpam-5595	27	2	4	DATE
ejpam-5595	27	3	33	DATE
ejpam-5595	27	4	38	CARDINAL
ejpam-5595	28	1	29	CARDINAL
ejpam-5595	30	1	brenn et al	PERSON
ejpam-5595	31	1	3	CARDINAL
ejpam-5595	33	1	m. f. el-sayed	PERSON
ejpam-5595	33	2	d. m. mostafa	PERSON
ejpam-5595	33	3	a. m. f. alrashdi	PERSON
ejpam-5595	34	1	j. pure	PERSON
ejpam-5595	34	2	18	CARDINAL
ejpam-5595	34	3	1	CARDINAL
ejpam-5595	34	4	2025	CARDINAL
ejpam-5595	34	5	5595 3	DATE
ejpam-5595	35	1	liu	PERSON
ejpam-5595	35	2	liu	PERSON
ejpam-5595	36	1	26	CARDINAL
ejpam-5595	38	1	carroll	PERSON
ejpam-5595	39	1	5	CARDINAL
ejpam-5595	40	1	yu et al	PERSON
ejpam-5595	41	1	40	CARDINAL
ejpam-5595	44	1	walters b′	PERSON
ejpam-5595	46	1	17	CARDINAL
ejpam-5595	47	1	the past few decades	DATE
ejpam-5595	48	1	16	CARDINAL
ejpam-5595	48	2	34	CARDINAL
ejpam-5595	50	1	ν	NORP
ejpam-5595	50	2	36	CARDINAL
ejpam-5595	51	1	electrohydrodynamics	ORG
ejpam-5595	52	1	ehd	ORG
ejpam-5595	54	1	27	CARDINAL
ejpam-5595	54	2	dasgupta et al	PERSON
ejpam-5595	55	1	8	CARDINAL
ejpam-5595	55	2	koulova	GPE
ejpam-5595	55	3	atten	PERSON
ejpam-5595	55	4	21	CARDINAL
ejpam-5595	55	5	del rio	GPE
ejpam-5595	56	1	35	CARDINAL
ejpam-5595	56	2	bendel et al	PERSON
ejpam-5595	57	1	2	CARDINAL
ejpam-5595	57	2	ehd	ORG
ejpam-5595	60	1	24	CARDINAL
ejpam-5595	60	2	39	DATE
ejpam-5595	61	1	el-sayed	ORG
ejpam-5595	62	1	12	CARDINAL
ejpam-5595	64	1	11	CARDINAL
ejpam-5595	64	2	13–15	CARDINAL
ejpam-5595	64	3	28	CARDINAL
ejpam-5595	65	1	m. f. el-sayed	PERSON
ejpam-5595	65	2	d. m. mostafa	PERSON
ejpam-5595	65	3	a. m. f. alrashdi	PERSON
ejpam-5595	66	1	j. pure	PERSON
ejpam-5595	66	2	18	CARDINAL
ejpam-5595	66	3	1	CARDINAL
ejpam-5595	66	4	2025	CARDINAL
ejpam-5595	66	5	5595 4	DATE
ejpam-5595	69	1	section 2	LAW
ejpam-5595	70	1	3	CARDINAL
ejpam-5595	72	1	5	CARDINAL
ejpam-5595	73	1	section 6	LAW
ejpam-5595	74	1	section 7	LAW
ejpam-5595	75	1	2	CARDINAL
ejpam-5595	75	2	0	CARDINAL
ejpam-5595	76	1	two	CARDINAL
ejpam-5595	80	1	1	CARDINAL
ejpam-5595	80	2	2	CARDINAL
ejpam-5595	80	3	two	CARDINAL
ejpam-5595	80	4	2	CARDINAL
ejpam-5595	80	5	1	CARDINAL
ejpam-5595	83	1	1	CARDINAL
ejpam-5595	84	1	two	CARDINAL
ejpam-5595	84	2	11	CARDINAL
ejpam-5595	84	3	16	CARDINAL
ejpam-5595	84	4	m. f. el-sayed	PERSON
ejpam-5595	84	5	d. m. mostafa	PERSON
ejpam-5595	84	6	a. m. f. alrashdi	PERSON
ejpam-5595	85	1	j. pure	PERSON
ejpam-5595	85	2	18	CARDINAL
ejpam-5595	85	3	1	CARDINAL
ejpam-5595	85	4	2025	CARDINAL
ejpam-5595	85	5	5595 5	DATE
ejpam-5595	85	6	20 ρ	QUANTITY
ejpam-5595	87	1	+ w	MONEY
ejpam-5595	90	1	1	CARDINAL
ejpam-5595	93	1	+ w	GPE
ejpam-5595	94	1	2	CARDINAL
ejpam-5595	96	1	0	CARDINAL
ejpam-5595	97	1	3	CARDINAL
ejpam-5595	100	1	31	CARDINAL
ejpam-5595	100	2	0	CARDINAL
ejpam-5595	101	1	∇φ	DATE
ejpam-5595	102	1	4	CARDINAL
ejpam-5595	102	2	two	CARDINAL
ejpam-5595	102	3	n = ∇f |∇f	PERSON
ejpam-5595	103	1	5	CARDINAL
ejpam-5595	103	2	3	CARDINAL
ejpam-5595	103	3	eqs	ORG
ejpam-5595	104	1	1)-(4	CARDINAL
ejpam-5595	105	1	∂ûj	ORG
ejpam-5595	106	1	δj1w ∂ûj	ORG
ejpam-5595	107	1	−∂p̂j	CARDINAL
ejpam-5595	109	1	6	CARDINAL
ejpam-5595	111	1	−∂p̂j	CARDINAL
ejpam-5595	112	1	7	CARDINAL
ejpam-5595	114	1	0	CARDINAL
ejpam-5595	114	2	8)	CARDINAL
ejpam-5595	115	1	0	CARDINAL
ejpam-5595	115	2	1	CARDINAL
ejpam-5595	115	3	2	CARDINAL
ejpam-5595	116	1	9	CARDINAL
ejpam-5595	116	2	0	CARDINAL
ejpam-5595	117	1	m. f. el-sayed	PERSON
ejpam-5595	117	2	d. m. mostafa	PERSON
ejpam-5595	117	3	a. m. f. alrashdi	PERSON
ejpam-5595	118	1	j. pure	PERSON
ejpam-5595	118	2	18	CARDINAL
ejpam-5595	118	3	1	CARDINAL
ejpam-5595	118	4	2025	CARDINAL
ejpam-5595	118	5	6	CARDINAL
ejpam-5595	118	6	20	CARDINAL
ejpam-5595	118	7	∗	CARDINAL
ejpam-5595	119	1	1	CARDINAL
ejpam-5595	119	2	∗	CARDINAL
ejpam-5595	119	3	∗ w	GPE
ejpam-5595	119	4	1	CARDINAL
ejpam-5595	119	5	∗	CARDINAL
ejpam-5595	120	1	∗ φ	ORG
ejpam-5595	120	2	2 av	QUANTITY
ejpam-5595	120	3	∗	CARDINAL
ejpam-5595	120	4	2 av σ	QUANTITY
ejpam-5595	120	5	∗ k1	QUANTITY
ejpam-5595	120	6	∗	CARDINAL
ejpam-5595	120	7	2 av	QUANTITY
ejpam-5595	120	8	∗	CARDINAL
ejpam-5595	120	9	∗ ω	ORG
ejpam-5595	120	10	wav	ORG
ejpam-5595	122	1	eqs	ORG
ejpam-5595	122	2	6)–(9	CARDINAL
ejpam-5595	122	3	1 m2	QUANTITY
ejpam-5595	123	1	−ρ1 ρj ∂pj	WORK_OF_ART
ejpam-5595	123	2	10	CARDINAL
ejpam-5595	123	3	1 m2	QUANTITY
ejpam-5595	123	4	∂wj ∂t + δj1	PERSON
ejpam-5595	125	1	−ρ1 ρj ∂pj	WORK_OF_ART
ejpam-5595	125	2	wj	PERSON
ejpam-5595	125	3	11	CARDINAL
ejpam-5595	126	1	+ ∂wj ∂z	PERSON
ejpam-5595	126	2	0	CARDINAL
ejpam-5595	126	3	12	CARDINAL
ejpam-5595	126	4	0	CARDINAL
ejpam-5595	126	5	13	CARDINAL
ejpam-5595	126	6	0	CARDINAL
ejpam-5595	127	1	14	CARDINAL
ejpam-5595	127	2	eqs	CARDINAL
ejpam-5595	128	1	10	CARDINAL
ejpam-5595	128	2	11	CARDINAL
ejpam-5595	128	3	second	ORDINAL
ejpam-5595	128	4	first	ORDINAL
ejpam-5595	128	5	+ m2 k1	QUANTITY
ejpam-5595	129	1	∂r2 +	ORG
ejpam-5595	130	1	0	CARDINAL
ejpam-5595	130	2	15	CARDINAL
ejpam-5595	130	3	13	CARDINAL
ejpam-5595	130	4	14	CARDINAL
ejpam-5595	130	5	∂r2 + ∂φj	ORG
ejpam-5595	130	6	0	CARDINAL
ejpam-5595	131	1	16	CARDINAL
ejpam-5595	131	2	9	CARDINAL
ejpam-5595	131	3	1	CARDINAL
ejpam-5595	131	4	∂ψj ∂z	PERSON
ejpam-5595	131	5	−1	DATE
ejpam-5595	131	6	∂ψj	ORG
ejpam-5595	132	1	17	CARDINAL
ejpam-5595	132	2	m. f. el-sayed	PERSON
ejpam-5595	132	3	d. m. mostafa	PERSON
ejpam-5595	132	4	a. m. f. alrashdi	PERSON
ejpam-5595	133	1	j. pure	PERSON
ejpam-5595	133	2	18	CARDINAL
ejpam-5595	133	3	1	CARDINAL
ejpam-5595	133	4	2025	CARDINAL
ejpam-5595	133	5	5595 7	DATE
ejpam-5595	133	6	20	CARDINAL
ejpam-5595	134	1	12	CARDINAL
ejpam-5595	137	1	ψj(r),φj(r	ORG
ejpam-5595	137	2	(ikz + ωt	DATE
ejpam-5595	138	1	18	CARDINAL
ejpam-5595	139	1	18	CARDINAL
ejpam-5595	140	1	17	CARDINAL
ejpam-5595	140	2	wj	PERSON
ejpam-5595	140	3	1	CARDINAL
ejpam-5595	140	4	dψj(r	GPE
ejpam-5595	140	5	(ikz + ωt	DATE
ejpam-5595	141	1	19	CARDINAL
ejpam-5595	142	1	19	CARDINAL
ejpam-5595	143	1	15	CARDINAL
ejpam-5595	144	1	+ m2 k1	QUANTITY
ejpam-5595	144	2	dr2 − dψj dr − rk2ψj	PERSON
ejpam-5595	144	3	−ikδj1ψj	PERSON
ejpam-5595	144	4	d2w dr2 − dw dr	ORG
ejpam-5595	145	1	0	CARDINAL
ejpam-5595	146	1	20	CARDINAL
ejpam-5595	146	2	leib	ORG
ejpam-5595	147	1	23	CARDINAL
ejpam-5595	148	1	24	CARDINAL
ejpam-5595	148	2	12	CARDINAL
ejpam-5595	148	3	18	CARDINAL
ejpam-5595	148	4	1− br2 1− b⧸2	TIME
ejpam-5595	149	1	21	CARDINAL
ejpam-5595	149	2	one	CARDINAL
ejpam-5595	149	3	hagen	ORG
ejpam-5595	149	4	zero	CARDINAL
ejpam-5595	150	1	21	CARDINAL
ejpam-5595	150	2	20	CARDINAL
ejpam-5595	150	3	18	CARDINAL
ejpam-5595	150	4	16	CARDINAL
ejpam-5595	150	5	dr2 − dψj dr −	PERSON
ejpam-5595	150	6	0	CARDINAL
ejpam-5595	150	7	22	CARDINAL
ejpam-5595	150	8	0	CARDINAL
ejpam-5595	151	1	23	CARDINAL
ejpam-5595	152	1	18	CARDINAL
ejpam-5595	152	2	η	ORG
ejpam-5595	152	3	(ikz + ωt	DATE
ejpam-5595	153	1	24	CARDINAL
ejpam-5595	154	1	m. f. el-sayed	PERSON
ejpam-5595	154	2	d. m. mostafa	PERSON
ejpam-5595	154	3	a. m. f. alrashdi	PERSON
ejpam-5595	155	1	j. pure	PERSON
ejpam-5595	155	2	18	CARDINAL
ejpam-5595	155	3	1	CARDINAL
ejpam-5595	155	4	2025	CARDINAL
ejpam-5595	155	5	5595 8	DATE
ejpam-5595	158	1	22	CARDINAL
ejpam-5595	159	1	23	CARDINAL
ejpam-5595	159	2	25	CARDINAL
ejpam-5595	159	3	φ2 = α4k0(kr	GPE
ejpam-5595	160	1	26	CARDINAL
ejpam-5595	160	2	α1− α4	LOC
ejpam-5595	161	1	1	CARDINAL
ejpam-5595	161	2	2	CARDINAL
ejpam-5595	162	1	1	CARDINAL
ejpam-5595	162	2	18	CARDINAL
ejpam-5595	163	1	∂η ∂t	PERSON
ejpam-5595	163	2	≈ 1	DATE
ejpam-5595	163	3	1	CARDINAL
ejpam-5595	163	4	2	CARDINAL
ejpam-5595	163	5	27	CARDINAL
ejpam-5595	163	6	2	CARDINAL
ejpam-5595	165	1	0	CARDINAL
ejpam-5595	165	2	≈ 1	DATE
ejpam-5595	166	1	28	CARDINAL
ejpam-5595	167	1	3	CARDINAL
ejpam-5595	167	2	≈ 1	DATE
ejpam-5595	168	1	29	CARDINAL
ejpam-5595	168	2	4	DATE
ejpam-5595	169	1	23	CARDINAL
ejpam-5595	169	2	26	CARDINAL
ejpam-5595	170	1	∂φ1	LAW
ejpam-5595	172	1	∂φ2	PERSON
ejpam-5595	173	1	1	CARDINAL
ejpam-5595	174	1	η + ∂2η	GPE
ejpam-5595	174	2	≈ 1	DATE
ejpam-5595	174	3	30	CARDINAL
ejpam-5595	174	4	25	CARDINAL
ejpam-5595	174	5	eqs	ORG
ejpam-5595	174	6	19	CARDINAL
ejpam-5595	174	7	24	CARDINAL
ejpam-5595	174	8	27	CARDINAL
ejpam-5595	174	9	+ ik	PERSON
ejpam-5595	174	10	1− b 1−	PRODUCT
ejpam-5595	174	11	2	CARDINAL
ejpam-5595	174	12	31	CARDINAL
ejpam-5595	174	13	m. f. el-sayed	PERSON
ejpam-5595	174	14	d. m. mostafa	PERSON
ejpam-5595	174	15	a. m. f. alrashdi	PERSON
ejpam-5595	175	1	j. pure	PERSON
ejpam-5595	175	2	18	CARDINAL
ejpam-5595	175	3	1	CARDINAL
ejpam-5595	175	4	2025	CARDINAL
ejpam-5595	175	5	5595 9	DATE
ejpam-5595	175	6	20	CARDINAL
ejpam-5595	177	1	32	CARDINAL
ejpam-5595	177	2	+ ik	PERSON
ejpam-5595	177	3	1− b 1−	PRODUCT
ejpam-5595	178	1	(ikz + ωt	DATE
ejpam-5595	178	2	33	CARDINAL
ejpam-5595	178	3	− imωrη0	PERSON
ejpam-5595	179	1	(ikz + ωt	DATE
ejpam-5595	180	1	34	CARDINAL
ejpam-5595	180	2	eqs	CARDINAL
ejpam-5595	181	1	18	CARDINAL
ejpam-5595	181	2	26	CARDINAL
ejpam-5595	181	3	28	CARDINAL
ejpam-5595	181	4	29	CARDINAL
ejpam-5595	181	5	two	CARDINAL
ejpam-5595	183	1	35	CARDINAL
ejpam-5595	184	1	[ϵ1i1(k)k0(k	GPE
ejpam-5595	185	1	36	CARDINAL
ejpam-5595	186	1	37	CARDINAL
ejpam-5595	187	1	38	CARDINAL
ejpam-5595	187	2	eqs	ORG
ejpam-5595	188	1	18	CARDINAL
ejpam-5595	188	2	19	CARDINAL
ejpam-5595	188	3	21	CARDINAL
ejpam-5595	188	4	33	CARDINAL
ejpam-5595	188	5	34	CARDINAL
ejpam-5595	189	1	11	CARDINAL
ejpam-5595	189	2	+ ik	PERSON
ejpam-5595	189	3	1− b 1−	TIME
ejpam-5595	190	1	+ ik	PERSON
ejpam-5595	190	2	1− br2 1−	PRODUCT
ejpam-5595	191	1	+ m2 k1	QUANTITY
ejpam-5595	191	2	− ωλ1	PERSON
ejpam-5595	191	3	2ibr	CARDINAL
ejpam-5595	191	4	1−	TIME
ejpam-5595	192	1	(ikz + ωt	DATE
ejpam-5595	192	2	39	CARDINAL
ejpam-5595	193	1	(ikz + ωt	DATE
ejpam-5595	194	1	40	CARDINAL
ejpam-5595	195	1	37	CARDINAL
ejpam-5595	196	1	ri	GPE
ejpam-5595	196	2	′ 1(kr	DATE
ejpam-5595	197	1	m. f. el-sayed	PERSON
ejpam-5595	197	2	d. m. mostafa	PERSON
ejpam-5595	197	3	a. m. f. alrashdi	PERSON
ejpam-5595	198	1	j. pure	PERSON
ejpam-5595	198	2	18	CARDINAL
ejpam-5595	198	3	1	CARDINAL
ejpam-5595	198	4	2025	CARDINAL
ejpam-5595	198	5	5595 10	DATE
ejpam-5595	199	1	eqs	CARDINAL
ejpam-5595	200	1	37)–(40	CARDINAL
ejpam-5595	200	2	24	CARDINAL
ejpam-5595	201	1	30	CARDINAL
ejpam-5595	202	1	1 m2	QUANTITY
ejpam-5595	202	2	1− b 1−	PRODUCT
ejpam-5595	202	3	2	CARDINAL
ejpam-5595	202	4	k1 ω √	ORG
ejpam-5595	202	5	1− b 1−	PRODUCT
ejpam-5595	203	1	1 m2	QUANTITY
ejpam-5595	203	2	2ib	ORDINAL
ejpam-5595	203	3	1−	CARDINAL
ejpam-5595	204	1	+ 1 k1	QUANTITY
ejpam-5595	205	1	0	CARDINAL
ejpam-5595	208	1	0	CARDINAL
ejpam-5595	208	2	41	CARDINAL
ejpam-5595	208	3	ω = ω √	ORG
ejpam-5595	209	1	ω	CARDINAL
ejpam-5595	210	1	41	CARDINAL
ejpam-5595	210	2	1	CARDINAL
ejpam-5595	211	1	12	CARDINAL
ejpam-5595	211	2	0	CARDINAL
ejpam-5595	212	1	2	CARDINAL
ejpam-5595	212	2	marshall	PERSON
ejpam-5595	212	3	ibrahim	PERSON
ejpam-5595	213	1	19	CARDINAL
ejpam-5595	215	1	41	CARDINAL
ejpam-5595	215	2	2 +	CARDINAL
ejpam-5595	215	3	0	CARDINAL
ejpam-5595	215	4	42	CARDINAL
ejpam-5595	215	5	1− mλ1 k1	PRODUCT
ejpam-5595	216	1	1− mλ2 k1	QUANTITY
ejpam-5595	216	2	k1(k	PERSON
ejpam-5595	216	3	43	CARDINAL
ejpam-5595	217	1	1− b 1−	PRODUCT
ejpam-5595	217	2	2k	CARDINAL
ejpam-5595	217	3	− k λ1 k1	PERSON
ejpam-5595	217	4	2b	CARDINAL
ejpam-5595	217	5	1−	MONEY
ejpam-5595	217	6	44	DATE
ejpam-5595	217	7	1− b 1−	PRODUCT
ejpam-5595	218	1	1−	TIME
ejpam-5595	218	2	1−	TIME
ejpam-5595	218	3	2kb m2	QUANTITY
ejpam-5595	218	4	1−	CARDINAL
ejpam-5595	218	5	m. f. el-sayed	PERSON
ejpam-5595	218	6	d. m. mostafa	PERSON
ejpam-5595	218	7	a. m. f. alrashdi	PERSON
ejpam-5595	219	1	j. pure	PERSON
ejpam-5595	219	2	18	CARDINAL
ejpam-5595	219	3	1	CARDINAL
ejpam-5595	219	4	2025	CARDINAL
ejpam-5595	219	5	5595 11	DATE
ejpam-5595	219	6	20	CARDINAL
ejpam-5595	219	7	− k	PERSON
ejpam-5595	221	1	0	CARDINAL
ejpam-5595	225	1	45	CARDINAL
ejpam-5595	225	2	second	ORDINAL
ejpam-5595	225	3	42	CARDINAL
ejpam-5595	225	4	2	CARDINAL
ejpam-5595	225	5	4b1b3	CARDINAL
ejpam-5595	226	1	46	CARDINAL
ejpam-5595	226	2	2	CARDINAL
ejpam-5595	226	3	1	CARDINAL
ejpam-5595	226	4	1−	WORK_OF_ART
ejpam-5595	226	5	2k	CARDINAL
ejpam-5595	226	6	− kλ1 k1	PERSON
ejpam-5595	228	1	2	CARDINAL
ejpam-5595	230	1	1− mλ1 k1	PRODUCT
ejpam-5595	230	2	1− mλ2 k1	QUANTITY
ejpam-5595	231	1	+ 2kb	MONEY
ejpam-5595	231	2	1−	LANGUAGE
ejpam-5595	231	3	1−	ORDINAL
ejpam-5595	231	4	0	CARDINAL
ejpam-5595	235	1	1− b⧸2)2	DATE
ejpam-5595	235	2	47	CARDINAL
ejpam-5595	235	3	1−	NORP
ejpam-5595	235	4	2m k1	QUANTITY
ejpam-5595	235	5	1−	WORK_OF_ART
ejpam-5595	235	6	2k	CARDINAL
ejpam-5595	235	7	− kλ1 k1	PERSON
ejpam-5595	235	8	1−	CARDINAL
ejpam-5595	236	1	1− mλ1 k1	PRODUCT
ejpam-5595	237	1	1− mλ2 k1	QUANTITY
ejpam-5595	238	1	48	CARDINAL
ejpam-5595	238	2	6	CARDINAL
ejpam-5595	238	3	1 2	CARDINAL
ejpam-5595	238	4	1− mλ1 k1	PRODUCT
ejpam-5595	238	5	1− mλ2 k1	QUANTITY
ejpam-5595	238	6	2	CARDINAL
ejpam-5595	240	1	49	CARDINAL
ejpam-5595	240	2	m. f. el-sayed	PERSON
ejpam-5595	240	3	d. m. mostafa	PERSON
ejpam-5595	240	4	a. m. f. alrashdi	PERSON
ejpam-5595	241	1	j. pure	PERSON
ejpam-5595	241	2	18	CARDINAL
ejpam-5595	241	3	1	CARDINAL
ejpam-5595	241	4	2025	CARDINAL
ejpam-5595	241	5	5595 12	DATE
ejpam-5595	242	1	12	CARDINAL
ejpam-5595	243	1	figures.to	ORG
ejpam-5595	243	2	12.1	CARDINAL
ejpam-5595	244	1	0	CARDINAL
ejpam-5595	244	2	0	CARDINAL
ejpam-5595	246	1	1	CARDINAL
ejpam-5595	247	1	1	CARDINAL
ejpam-5595	249	1	0.7	CARDINAL
ejpam-5595	249	2	0.3	CARDINAL
ejpam-5595	249	3	2	CARDINAL
ejpam-5595	249	4	0.5	CARDINAL
ejpam-5595	249	5	0.3	CARDINAL
ejpam-5595	249	6	0.02	CARDINAL
ejpam-5595	249	7	0.002	CARDINAL
ejpam-5595	249	8	0.4	CARDINAL
ejpam-5595	249	9	0.2	CARDINAL
ejpam-5595	249	10	0.02	CARDINAL
ejpam-5595	249	11	0.4	CARDINAL
ejpam-5595	249	12	10000	CARDINAL
ejpam-5595	249	13	10	CARDINAL
ejpam-5595	250	1	2	CARDINAL
ejpam-5595	250	2	2(a	CARDINAL
ejpam-5595	250	3	2(b	CARDINAL
ejpam-5595	252	1	49	CARDINAL
ejpam-5595	253	1	2(a	CARDINAL
ejpam-5595	256	1	0.1	CARDINAL
ejpam-5595	258	1	2(b	CARDINAL
ejpam-5595	259	1	m. f. el-sayed	PERSON
ejpam-5595	259	2	d. m. mostafa	PERSON
ejpam-5595	259	3	a. m. f. alrashdi	PERSON
ejpam-5595	260	1	j. pure	PERSON
ejpam-5595	260	2	18	CARDINAL
ejpam-5595	260	3	1	CARDINAL
ejpam-5595	260	4	2025	CARDINAL
ejpam-5595	260	5	5595 13	DATE
ejpam-5595	260	6	20	CARDINAL
ejpam-5595	261	1	1	CARDINAL
ejpam-5595	261	2	30	DATE
ejpam-5595	261	3	38	CARDINAL
ejpam-5595	262	1	taylor modes	PERSON
ejpam-5595	263	1	3	CARDINAL
ejpam-5595	264	1	3(b	CARDINAL
ejpam-5595	266	1	49	CARDINAL
ejpam-5595	266	2	0.0	CARDINAL
ejpam-5595	266	3	0.03	CARDINAL
ejpam-5595	266	4	0.05	CARDINAL
ejpam-5595	266	5	0.07	CARDINAL
ejpam-5595	267	1	3(a	CARDINAL
ejpam-5595	267	2	3(b	CARDINAL
ejpam-5595	270	1	3(a	CARDINAL
ejpam-5595	270	2	3(b	CARDINAL
ejpam-5595	271	1	10	CARDINAL
ejpam-5595	271	2	12	CARDINAL
ejpam-5595	272	1	4	CARDINAL
ejpam-5595	272	2	m. f. el-sayed	PERSON
ejpam-5595	272	3	d. m. mostafa	PERSON
ejpam-5595	272	4	a. m. f. alrashdi	PERSON
ejpam-5595	273	1	j. pure	PERSON
ejpam-5595	273	2	18	CARDINAL
ejpam-5595	273	3	1	CARDINAL
ejpam-5595	273	4	2025	CARDINAL
ejpam-5595	273	5	5595 14	DATE
ejpam-5595	273	6	20	CARDINAL
ejpam-5595	274	1	4(b	CARDINAL
ejpam-5595	277	1	0 ≤ k ≤ 0.1	QUANTITY
ejpam-5595	281	1	el-sayed	ORG
ejpam-5595	282	1	11	CARDINAL
ejpam-5595	283	1	5	CARDINAL
ejpam-5595	283	2	5(a	CARDINAL
ejpam-5595	283	3	5(b	CARDINAL
ejpam-5595	284	1	fig	ORG
ejpam-5595	285	1	5(a	CARDINAL
ejpam-5595	289	1	14	CARDINAL
ejpam-5595	289	2	19	CARDINAL
ejpam-5595	291	1	6(a	CARDINAL
ejpam-5595	291	2	6(b	CARDINAL
ejpam-5595	291	3	6(a	CARDINAL
ejpam-5595	291	4	6(b	CARDINAL
ejpam-5595	292	1	yang	PERSON
ejpam-5595	296	1	4	CARDINAL
ejpam-5595	296	2	6	CARDINAL
ejpam-5595	298	1	7(b	CARDINAL
ejpam-5595	299	1	48	CARDINAL
ejpam-5595	299	2	m. f. el-sayed	PERSON
ejpam-5595	299	3	d. m. mostafa	PERSON
ejpam-5595	299	4	a. m. f. alrashdi	PERSON
ejpam-5595	300	1	j. pure	PERSON
ejpam-5595	300	2	18	CARDINAL
ejpam-5595	300	3	1	CARDINAL
ejpam-5595	300	4	2025	CARDINAL
ejpam-5595	300	5	5595 15	DATE
ejpam-5595	300	6	20	CARDINAL
ejpam-5595	300	7	6	CARDINAL
ejpam-5595	300	8	7	CARDINAL
ejpam-5595	303	1	7(b	CARDINAL
ejpam-5595	304	1	12	CARDINAL
ejpam-5595	305	1	8	CARDINAL
ejpam-5595	306	1	8(b	CARDINAL
ejpam-5595	308	1	m. f. el-sayed	PERSON
ejpam-5595	308	2	d. m. mostafa	PERSON
ejpam-5595	308	3	a. m. f. alrashdi	PERSON
ejpam-5595	309	1	j. pure	PERSON
ejpam-5595	309	2	18	CARDINAL
ejpam-5595	309	3	1	CARDINAL
ejpam-5595	309	4	2025	CARDINAL
ejpam-5595	309	5	5595 16	DATE
ejpam-5595	309	6	20	CARDINAL
ejpam-5595	309	7	0 ≤ k ≤ 1.1	QUANTITY
ejpam-5595	310	1	fig	ORG
ejpam-5595	311	1	8(b	CARDINAL
ejpam-5595	312	1	0 ≤ k ≤ 127	QUANTITY
ejpam-5595	314	1	9	CARDINAL
ejpam-5595	316	1	9(a	CARDINAL
ejpam-5595	316	2	9(b	CARDINAL
ejpam-5595	316	3	0.2	CARDINAL
ejpam-5595	316	4	0.3	CARDINAL
ejpam-5595	316	5	0.2	CARDINAL
ejpam-5595	316	6	0.4	CARDINAL
ejpam-5595	316	7	0.3	CARDINAL
ejpam-5595	316	8	0.9	CARDINAL
ejpam-5595	316	9	0.8	CARDINAL
ejpam-5595	317	1	fig	PERSON
ejpam-5595	318	1	9(a	CARDINAL
ejpam-5595	318	2	0 ≤	FAC
ejpam-5595	321	1	9(b	CARDINAL
ejpam-5595	324	1	6	CARDINAL
ejpam-5595	324	2	9	CARDINAL
ejpam-5595	325	1	10	CARDINAL
ejpam-5595	326	1	10(a	CARDINAL
ejpam-5595	326	2	10(b	CARDINAL
ejpam-5595	327	1	10(a	CARDINAL
ejpam-5595	327	2	k ≤ 0.09	ORG
ejpam-5595	327	3	m. f. el-sayed	PERSON
ejpam-5595	327	4	d. m. mostafa	PERSON
ejpam-5595	327	5	a. m. f. alrashdi	PERSON
ejpam-5595	328	1	j. pure	PERSON
ejpam-5595	328	2	18	CARDINAL
ejpam-5595	328	3	1	CARDINAL
ejpam-5595	328	4	2025	CARDINAL
ejpam-5595	328	5	5595 17 of 20	DATE
ejpam-5595	329	1	10(b	CARDINAL
ejpam-5595	331	1	11	CARDINAL
ejpam-5595	331	2	11(a	CARDINAL
ejpam-5595	331	3	11(b	CARDINAL
ejpam-5595	335	1	1	CARDINAL
ejpam-5595	336	1	7	CARDINAL
ejpam-5595	338	1	20	CARDINAL
ejpam-5595	341	1	two	CARDINAL
ejpam-5595	341	2	m. f. el-sayed	PERSON
ejpam-5595	341	3	d. m. mostafa	PERSON
ejpam-5595	341	4	a. m. f. alrashdi	PERSON
ejpam-5595	342	1	j. pure	PERSON
ejpam-5595	342	2	18	CARDINAL
ejpam-5595	342	3	1	CARDINAL
ejpam-5595	342	4	2025	CARDINAL
ejpam-5595	342	5	5595 18	DATE
ejpam-5595	342	6	20	CARDINAL
ejpam-5595	344	1	1	CARDINAL
ejpam-5595	344	2	m. k. awasthia	PERSON
ejpam-5595	344	3	r. asthanab	GPE
ejpam-5595	344	4	g. s. agrawal	PERSON
ejpam-5595	346	1	scientia iranica	ORG
ejpam-5595	346	2	21:578–586	CARDINAL
ejpam-5595	346	3	2014	DATE
ejpam-5595	347	1	2	CARDINAL
ejpam-5595	347	2	p. bendel	PERSON
ejpam-5595	347	3	m. bernardo	PERSON
ejpam-5595	347	4	j. h. dunsmui	PERSON
ejpam-5595	348	1	thomann h. electric field	ORG
ejpam-5595	349	1	magn	PERSON
ejpam-5595	351	1	21:321–327, 2003	DATE
ejpam-5595	352	1	3	CARDINAL
ejpam-5595	352	2	g. brenn	PERSON
ejpam-5595	352	3	z. liu	PERSON
ejpam-5595	352	4	f. durst.	PERSON
ejpam-5595	353	1	linear	ORG
ejpam-5595	355	1	j. multiphase	PERSON
ejpam-5595	355	2	26:1621–1644	CARDINAL
ejpam-5595	355	3	2000	DATE
ejpam-5595	356	1	4	CARDINAL
ejpam-5595	356	2	e. ryssel	PERSON
ejpam-5595	358	1	z. angew	PERSON
ejpam-5595	360	1	83:622–628, 2003	DATE
ejpam-5595	361	1	5	CARDINAL
ejpam-5595	361	2	c. p. carroll	PERSON
ejpam-5595	361	3	y. l. joo	PERSON
ejpam-5595	364	1	fluids	ORG
ejpam-5595	364	2	6:53–65, 2006	DATE
ejpam-5595	365	1	6	CARDINAL
ejpam-5595	365	2	s. chandrasekhar	PERSON
ejpam-5595	367	1	dover	GPE
ejpam-5595	367	2	new york	GPE
ejpam-5595	367	3	1981	DATE
ejpam-5595	368	1	7	CARDINAL
ejpam-5595	370	1	cambridge university press	ORG
ejpam-5595	370	2	new york	GPE
ejpam-5595	370	3	2011	DATE
ejpam-5595	371	1	8	CARDINAL
ejpam-5595	371	2	d. dasgupta	PERSON
ejpam-5595	371	3	s. nath	PERSON
ejpam-5595	374	1	fluids	ORG
ejpam-5595	374	2	31:22	PRODUCT
ejpam-5595	374	3	2019	DATE
ejpam-5595	375	1	9	CARDINAL
ejpam-5595	375	2	w. h. reid	PERSON
ejpam-5595	377	1	cambridge university press	ORG
ejpam-5595	377	2	new york	GPE
ejpam-5595	377	3	1981	DATE
ejpam-5595	378	1	10	CARDINAL
ejpam-5595	378	2	r. z. duan	PERSON
ejpam-5595	378	3	z. y. wang	PERSON
ejpam-5595	378	4	z. y. chen	PERSON
ejpam-5595	378	5	l. s. liu	PERSON
ejpam-5595	379	1	two	CARDINAL
ejpam-5595	381	1	27:423–438	CARDINAL
ejpam-5595	381	2	2017	DATE
ejpam-5595	382	1	11	CARDINAL
ejpam-5595	382	2	m. f. el-sayed	PERSON
ejpam-5595	383	1	two	CARDINAL
ejpam-5595	385	1	732	CARDINAL
ejpam-5595	385	2	2001	DATE
ejpam-5595	386	1	12	CARDINAL
ejpam-5595	386	2	m. f. el-sayed	PERSON
ejpam-5595	387	1	porous medd	PERSON
ejpam-5595	387	2	9:329–345, 2018	DATE
ejpam-5595	388	1	13	CARDINAL
ejpam-5595	388	2	m. f. el-sayed	PERSON
ejpam-5595	388	3	a. m. alanzi	PERSON
ejpam-5595	389	1	7:247	CARDINAL
ejpam-5595	389	2	2022	CARDINAL
ejpam-5595	390	1	m. f. el-sayed	PERSON
ejpam-5595	390	2	d. m. mostafa	PERSON
ejpam-5595	390	3	a. m. f. alrashdi	PERSON
ejpam-5595	391	1	j. pure	PERSON
ejpam-5595	391	2	18	CARDINAL
ejpam-5595	391	3	1	CARDINAL
ejpam-5595	391	4	2025	CARDINAL
ejpam-5595	391	5	5595 19	DATE
ejpam-5595	392	1	14	CARDINAL
ejpam-5595	392	2	m. f. el-sayed	PERSON
ejpam-5595	392	3	m. f. e. amer	PERSON
ejpam-5595	393	1	z. s. alfayzi	PERSON
ejpam-5595	394	1	electrohydrodynamic couette	PERSON
ejpam-5595	394	2	two	CARDINAL
ejpam-5595	395	1	2023	CARDINAL
ejpam-5595	396	1	15	CARDINAL
ejpam-5595	396	2	m. f. el-sayed	PERSON
ejpam-5595	396	3	n. t. eldabe	PERSON
ejpam-5595	396	4	m. h. haroun	PERSON
ejpam-5595	397	1	two	CARDINAL
ejpam-5595	398	1	j. porous med.	ORG
ejpam-5595	399	1	17:405–420,	DATE
ejpam-5595	399	2	2014	DATE
ejpam-5595	400	1	16	CARDINAL
ejpam-5595	400	2	m. f. el-sayed	PERSON
ejpam-5595	400	3	g. m. moatimid	PERSON
ejpam-5595	400	4	f. m. f. elsabaa	PERSON
ejpam-5595	400	5	m. f. e. amer	PERSON
ejpam-5595	401	1	axisymmetric	PERSON
ejpam-5595	402	1	19:751–760	DATE
ejpam-5595	402	2	2016	DATE
ejpam-5595	403	1	17	CARDINAL
ejpam-5595	403	2	r. a.	PERSON
ejpam-5595	405	1	marcel dekker	PERSON
ejpam-5595	405	2	new york	GPE
ejpam-5595	405	3	2023	CARDINAL
ejpam-5595	406	1	18	CARDINAL
ejpam-5595	406	2	e. a. ibrahim	PERSON
ejpam-5595	409	1	fluids	ORG
ejpam-5595	409	2	10:1034–1036, 1998	DATE
ejpam-5595	410	1	19	CARDINAL
ejpam-5595	410	2	e. a. ibrahim	PERSON
ejpam-5595	410	3	s. q. marshall	PERSON
ejpam-5595	413	1	eng	PERSON
ejpam-5595	414	1	sci.	ORG
ejpam-5595	414	2	76:17–21, 2000	DATE
ejpam-5595	415	1	20	CARDINAL
ejpam-5595	415	2	j. b. keller	PERSON
ejpam-5595	415	3	s. i. rubinow	PERSON
ejpam-5595	415	4	o. tu	PERSON
ejpam-5595	418	1	16:2052, 1973	DATE
ejpam-5595	419	1	21	CARDINAL
ejpam-5595	419	2	d. koulova	GPE
ejpam-5595	419	3	atten	ORG
ejpam-5595	420	1	two	CARDINAL
ejpam-5595	421	1	9:200	CARDINAL
ejpam-5595	421	2	2024	DATE
ejpam-5595	422	1	22	CARDINAL
ejpam-5595	422	2	j. c. lasheras	PERSON
ejpam-5595	422	3	e. j. hopfinger	PERSON
ejpam-5595	423	1	ann	PERSON
ejpam-5595	423	2	32:275–308	CARDINAL
ejpam-5595	423	3	2000	DATE
ejpam-5595	424	1	23	CARDINAL
ejpam-5595	424	2	s. j. leib	PERSON
ejpam-5595	424	3	m. e. goldstein	PERSON
ejpam-5595	426	1	j. fluid mech.h	ORG
ejpam-5595	426	2	168:479–500, 1986	DATE
ejpam-5595	427	1	24	CARDINAL
ejpam-5595	427	2	f. li	PERSON
ejpam-5595	427	3	xie yuan yin	PERSON
ejpam-5595	428	1	axisymmetric	PERSON
ejpam-5595	429	1	166:1024–1032, 2011	DATE
ejpam-5595	430	1	25	CARDINAL
ejpam-5595	430	2	s. p. lin	PERSON
ejpam-5595	430	3	k. j. ruschak	PERSON
ejpam-5595	432	1	57, 2004	DATE
ejpam-5595	433	1	26	CARDINAL
ejpam-5595	433	2	z. liu	PERSON
ejpam-5595	433	3	z. liu	PERSON
ejpam-5595	436	1	j. multiphase	PERSON
ejpam-5595	436	2	34:42–60, 2008	DATE
ejpam-5595	437	1	27	CARDINAL
ejpam-5595	437	2	j. r. melcher	PERSON
ejpam-5595	438	1	continuum electromechanics	ORG
ejpam-5595	439	1	mit press	ORG
ejpam-5595	439	2	cambridge	GPE
ejpam-5595	439	3	1981	DATE
ejpam-5595	440	1	28	CARDINAL
ejpam-5595	440	2	t. m. n. metwaly	PERSON
ejpam-5595	440	3	n. m. hafez	PERSON
ejpam-5595	442	1	7:224	CARDINAL
ejpam-5595	442	2	2022	CARDINAL
ejpam-5595	443	1	29	CARDINAL
ejpam-5595	446	1	eng	PERSON
ejpam-5595	447	1	sci.	ORG
ejpam-5595	447	2	28:1037–1040	CARDINAL
ejpam-5595	447	3	1965	DATE
ejpam-5595	448	1	30	CARDINAL
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ejpam-5595	449	1	rivlin	PERSON
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ejpam-5595	451	1	sci.	ORG
ejpam-5595	451	2	9(4):311–3160	ORG
ejpam-5595	451	3	2024	DATE
ejpam-5595	452	1	31	CARDINAL
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ejpam-5595	454	3	134:091201	DATE
ejpam-5595	454	4	2012	DATE
ejpam-5595	455	1	32	CARDINAL
ejpam-5595	455	2	j. p. pascal	PERSON
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ejpam-5595	457	2	133:109–120, 2006	DATE
ejpam-5595	458	1	33	CARDINAL
ejpam-5595	458	2	c. patrascu	PERSON
ejpam-5595	458	3	c. balan	PERSON
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ejpam-5595	461	3	1	CARDINAL
ejpam-5595	461	4	2025	CARDINAL
ejpam-5595	461	5	5595 20	DATE
ejpam-5595	461	6	170, 2018	DATE
ejpam-5595	462	1	34	CARDINAL
ejpam-5595	462	2	i.	PERSON
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ejpam-5595	464	2	oxford	NORP
ejpam-5595	464	3	2018	DATE
ejpam-5595	465	1	35	CARDINAL
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ejpam-5595	467	1	44:385–405	DATE
ejpam-5595	467	2	2019	DATE
ejpam-5595	468	1	36	CARDINAL
ejpam-5595	469	1	165	CARDINAL
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ejpam-5595	470	2	2008	DATE
ejpam-5595	471	1	37	CARDINAL
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ejpam-5595	472	1	2nd	ORDINAL
ejpam-5595	472	2	2nd	ORDINAL
ejpam-5595	473	1	cambridge university	ORG
ejpam-5595	473	2	new york	GPE
ejpam-5595	473	3	1995	DATE
ejpam-5595	474	1	38	CARDINAL
ejpam-5595	474	2	l. j. yang	PERSON
ejpam-5595	474	3	m. l. du	PERSON
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ejpam-5595	477	2	2012	DATE
ejpam-5595	478	1	39	CARDINAL
ejpam-5595	478	2	l. j. yang	PERSON
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ejpam-5595	478	4	q. f. fu.	PERSON
ejpam-5595	480	1	j. fluids	PERSON
ejpam-5595	480	2	eng.	GPE
ejpam-5595	480	3	134:071303	CARDINAL
ejpam-5595	480	4	2012	DATE
ejpam-5595	481	1	40	CARDINAL
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ejpam-5595	481	4	g. c. rutledge	PERSON
ejpam-5595	483	1	47:4789–4797	CARDINAL
ejpam-5595	483	2	2006	DATE