id	sid	eid	entity	type
m-815	1	1	ijo international journal of mathematics	ORG
m-815	1	2	2992-4421	DATE
m-815	5	1	07	CARDINAL
m-815	5	2	03	CARDINAL
m-815	5	3	2024	CARDINAL
m-815	5	4	mhd	ORG
m-815	5	5	mhd	ORG
m-815	7	1	k. shivashankara2	PERSON
m-815	7	2	dhananjaiah d. s3	ORG
m-815	7	3	first	ORDINAL
m-815	7	4	mandya	GPE
m-815	7	5	india e	GPE
m-815	8	1	2department	PERSON
m-815	8	2	university of mysore	ORG
m-815	8	3	india e	GPE
m-815	9	1	3department	PRODUCT
m-815	9	2	first	ORDINAL
m-815	9	3	mysuru	GPE
m-815	9	4	india e	GPE
m-815	11	1	first	ORDINAL
m-815	11	2	ramnagar	GPE
m-815	11	3	india e	GPE
m-815	17	1	mhd	ORG
m-815	18	1	1	CARDINAL
m-815	20	1	second	ORDINAL
m-815	21	1	second	ORDINAL
m-815	21	2	1	CARDINAL
m-815	21	3	first	ORDINAL
m-815	22	1	2	CARDINAL
m-815	22	2	second	ORDINAL
m-815	23	1	hayat	PERSON
m-815	24	1	3	CARDINAL
m-815	24	2	second	ORDINAL
m-815	26	1	the few decades	DATE
m-815	26	2	hartmann	PERSON
m-815	26	3	4	CARDINAL
m-815	27	1	07	CARDINAL
m-815	28	1	03	CARDINAL
m-815	30	1	1 mailto:kkvpmaths@gmail.com mailto:drksshankara@gmail.com	QUANTITY
m-815	30	2	mailto:dhanu2614@gmail.com mailto:profprakasha@gmail.com ijo international journal of mathematics	ORG
m-815	30	3	2992-4421	DATE
m-815	34	1	07	CARDINAL
m-815	34	2	03	CARDINAL
m-815	34	3	2024	CARDINAL
m-815	34	4	mhd	ORG
m-815	35	1	the parabolic movement	ORG
m-815	38	1	murthy et al	PERSON
m-815	39	1	5	CARDINAL
m-815	39	2	krishna	PERSON
m-815	40	1	6	CARDINAL
m-815	41	1	krishna et al	PERSON
m-815	42	1	7	CARDINAL
m-815	43	1	krishna	PERSON
m-815	43	2	8	CARDINAL
m-815	43	3	second	ORDINAL
m-815	44	1	the few decades	DATE
m-815	47	1	mathematical bio-sciences	ORG
m-815	48	1	takhar et al.[9	ORG
m-815	49	1	hossain	PERSON
m-815	51	1	2.formulation	CARDINAL
m-815	54	1	the boussinesq approximation	ORG
m-815	54	2	07	CARDINAL
m-815	54	3	03	CARDINAL
m-815	56	1	2 ijo international journal of mathematics	ORG
m-815	56	2	2992-4421	DATE
m-815	56	3	venuprasad k.	PERSON
m-815	58	1	07	CARDINAL
m-815	58	2	03	CARDINAL
m-815	58	3	2024	CARDINAL
m-815	58	4	mhd	ORG
m-815	59	1	darcy dissipations	PERSON
m-815	63	1		CARDINAL
m-815	70	1	1	CARDINAL
m-815	70	2	1	CARDINAL
m-815	71	1	1	CARDINAL
m-815	71	2	0	CARDINAL
m-815	71	3	22,0,0	CARDINAL
m-815	71	4	 	QUANTITY
m-815	71	5	2	CARDINAL
m-815	71	6	3	CARDINAL
m-815	71	7		DATE
m-815	72	1	k ccg ttg	PERSON
m-815	72	2	4	CARDINAL
m-815	72	3	1 2	CARDINAL
m-815	73	1	t yt t c	ORG
m-815	73	2	5	CARDINAL
m-815	74	1	1 2 1	QUANTITY
m-815	75	1	6	CARDINAL
m-815	75	2	4	CARDINAL
m-815	75	3	 	PERSON
m-815	75	4	7	CARDINAL
m-815	77	1	214	CARDINAL
m-815	77	2	g yx r yyt	PERSON
m-815	77	3	8)	CARDINAL
m-815	77	4	1 22	DATE
m-815	77	5	  	ORG
m-815	77	6	9	CARDINAL
m-815	77	7	07	CARDINAL
m-815	78	1	03	CARDINAL
m-815	80	1	3 ijo international journal of mathematics	ORG
m-815	80	2	2992-4421	DATE
m-815	80	3	venuprasad k.	PERSON
m-815	82	1	07	CARDINAL
m-815	82	2	03	CARDINAL
m-815	82	3	2024	CARDINAL
m-815	82	4	mhd	ORG
m-815	84	1	22	CARDINAL
m-815	84	2	10	CARDINAL
m-815	85	1	reynolds number	ORG
m-815	85	2	2 3	CARDINAL
m-815	89	1	1d	CARDINAL
m-815	89	2	sc	GPE
m-815	89	3	schmidt number	PERSON
m-815	89	4	1 2 1 d lk	QUANTITY
m-815	90	1	2 2	CARDINAL
m-815	90	2	k l d 2 1	FAC
m-815	90	3	21	CARDINAL
m-815	91	1	1)1()1	CARDINAL
m-815	91	2	10,0	CARDINAL
m-815	92	1		NORP
m-815	93	1	11	CARDINAL
m-815	93	2	  	PERSON
m-815	93	3	00,0 	FAC
m-815	93	4	12	CARDINAL
m-815	93	5	1	CARDINAL
m-815	93	6	t .	DATE
m-815	94	1	3	CARDINAL
m-815	95	1		CARDINAL
m-815	96	1		GPE
m-815	96	2	1	CARDINAL
m-815	96	3		CARDINAL
m-815	96	4	1(o	CARDINAL
m-815	96	5	07	CARDINAL
m-815	97	1	03	CARDINAL
m-815	99	1	4 ijo international journal of mathematics	ORG
m-815	99	2	2992-4421	DATE
m-815	99	3	venuprasad k.	PERSON
m-815	101	1	07	CARDINAL
m-815	101	2	03	CARDINAL
m-815	101	3	2024	CARDINAL
m-815	101	4	mhd	ORG
m-815	101	5	10	CARDINAL
m-815	101	6		DATE
m-815	101	7	g yx r yyt	PERSON
m-815	101	8	13	CARDINAL
m-815	101	9	cq x	PERSON
m-815	101	10	12	CARDINAL
m-815	101	11		ORG
m-815	102	1	14	CARDINAL
m-815	103	1	2	CARDINAL
m-815	103	2	15	CARDINAL
m-815	103	3	2	CARDINAL
m-815	104	1		CARDINAL
m-815	104	2	xf y  the equations(13-15	PERSON
m-815	104	3		GPE
m-815	104	4		DATE
m-815	104	5	nc	GPE
m-815	104	6	 	PRODUCT
m-815	104	7	16	CARDINAL
m-815	107	1	    	QUANTITY
m-815	107	2	17	CARDINAL
m-815	109	1	22	CARDINAL
m-815	109	2	18	CARDINAL
m-815	109	3	2	CARDINAL
m-815	109	4	22	CARDINAL
m-815	110	1	1100	CARDINAL
m-815	110	2	1100	CARDINAL
m-815	110	3	1100	CARDINAL
m-815	110	4		PERSON
m-815	110	5	19	CARDINAL
m-815	110	6	19	CARDINAL
m-815	110	7	16	CARDINAL
m-815	110	8	18	CARDINAL
m-815	110	9		CARDINAL
m-815	110	10	0,0 3	CARDINAL
m-815	110	11	22 1,0	CARDINAL
m-815	110	12		ORG
m-815	110	13		PERSON
m-815	110	14		DATE
m-815	110	15	21	CARDINAL
m-815	110	16	07	CARDINAL
m-815	110	17	03	CARDINAL
m-815	112	1	5	CARDINAL
m-815	112	2	2992-4421	DATE
m-815	112	3	venuprasad k.	PERSON
m-815	114	1	07	CARDINAL
m-815	114	2	03	CARDINAL
m-815	114	3	2024	CARDINAL
m-815	114	4	mhd	ORG
m-815	114	5	0	CARDINAL
m-815	114	6		DATE
m-815	114	7	22	CARDINAL
m-815	114	8	1	CARDINAL
m-815	114	9	0	CARDINAL
m-815	115	1	23	CARDINAL
m-815	115	2	  	PERSON
m-815	115	3	24	CARDINAL
m-815	115	4	010 22	CARDINAL
m-815	115	5	0	DATE
m-815	115	6		WORK_OF_ART
m-815	115	7	25	CARDINAL
m-815	115	8	0	CARDINAL
m-815	115	9	22	CARDINAL
m-815	115	10	0	CARDINAL
m-815	115	11	26	CARDINAL
m-815	115	12	3	CARDINAL
m-815	115	13	222 1,0	CARDINAL
m-815	115	14	27	CARDINAL
m-815	115	15	0)1(0)1	CARDINAL
m-815	115	16	0)1(,0)1(1)1()1	CARDINAL
m-815	115	17	xoooo 	GPE
m-815	115	18	28	CARDINAL
m-815	115	19	first	ORDINAL
m-815	115	20	1 22	CARDINAL
m-815	115	21	1,1	CARDINAL
m-815	115	22	29	CARDINAL
m-815	115	23	2	CARDINAL
m-815	115	24	1	CARDINAL
m-815	115	25	30	CARDINAL
m-815	115	26	0,,01 2	ORG
m-815	115	27	1	CARDINAL
m-815	115	28		DATE
m-815	115	29	31	CARDINAL
m-815	115	30	0,0,0,0,0,0	CARDINAL
m-815	115	31	3	CARDINAL
m-815	115	32	1 222 1,1	QUANTITY
m-815	117	1		CARDINAL
m-815	118	1	fim  	ORG
m-815	118	2	32	CARDINAL
m-815	118	3	1	CARDINAL
m-815	118	4	 	DATE
m-815	118	5		DATE
m-815	118	6	33	CARDINAL
m-815	118	7	0,,0	CARDINAL
m-815	118	8	1  	TIME
m-815	118	9		PRODUCT
m-815	118	10	34	CARDINAL
m-815	119	1	0	CARDINAL
m-815	120	1	0	CARDINAL
m-815	120	2	1	CARDINAL
m-815	120	3	35	DATE
m-815	120	4	11	CARDINAL
m-815	120	5	0)1(,0)1(1)1()1	CARDINAL
m-815	120	6	1,111	CARDINAL
m-815	120	7	36	CARDINAL
m-815	120	8	07	CARDINAL
m-815	120	9	03	CARDINAL
m-815	122	1	6	CARDINAL
m-815	122	2	2992-4421	DATE
m-815	122	3	venuprasad k.	PERSON
m-815	124	1	07	CARDINAL
m-815	124	2	03	CARDINAL
m-815	124	3	2024	CARDINAL
m-815	124	4	mhd	ORG
m-815	126	1	4.nusselt	CARDINAL
m-815	126	2	2	CARDINAL
m-815	126	3		PRODUCT
m-815	126	4	1	CARDINAL
m-815	126	5	1	CARDINAL
m-815	126	6	 	PERSON
m-815	127	1	y nu wm	PERSON
m-815	127	2		PERSON
m-815	127	3	1	CARDINAL
m-815	127	4	108	CARDINAL
m-815	128	1	 mm dd un	PERSON
m-815	128	2	un  	ORG
m-815	128	3		DATE
m-815	128	4	1514	CARDINAL
m-815	128	5	1	CARDINAL
m-815	128	6	1	CARDINAL
m-815	128	7	y wm	PERSON
m-815	129	1	1	CARDINAL
m-815	129	2	75 1 64	DATE
m-815	129	3	 mm	PERSON
m-815	131	1		GPE
m-815	131	2	second	ORDINAL
m-815	134	1	second	ORDINAL
m-815	135	1	kr	PERSON
m-815	136	1	0.5	CARDINAL
m-815	136	2	0.5	CARDINAL
m-815	136	3	0.71	CARDINAL
m-815	136	4	2	CARDINAL
m-815	136	5	10	CARDINAL
m-815	136	6	gm	ORG
m-815	136	7	5	CARDINAL
m-815	136	8	0.1	CARDINAL
m-815	136	9	2	CARDINAL
m-815	136	10	0.5	CARDINAL
m-815	136	11	0.5	CARDINAL
m-815	138	1	1-4	CARDINAL
m-815	140	1	07	CARDINAL
m-815	140	2	03	CARDINAL
m-815	142	1	7 ijo international journal of mathematics	ORG
m-815	142	2	2992-4421	DATE
m-815	142	3	venuprasad k.	PERSON
m-815	144	1	07	CARDINAL
m-815	144	2	03	CARDINAL
m-815	144	3	2024	CARDINAL
m-815	144	4	mhd	ORG
m-815	147	1	2	CARDINAL
m-815	147	2	2	CARDINAL
m-815	149	1	ijo	ORG
m-815	149	2	07	CARDINAL
m-815	149	3	03	CARDINAL
m-815	151	1	8	CARDINAL
m-815	151	2	2992-4421	DATE
m-815	151	3	venuprasad k.	PERSON
m-815	153	1	07	CARDINAL
m-815	153	2	03	CARDINAL
m-815	153	3	2024	CARDINAL
m-815	153	4	mhd	ORG
m-815	155	1	kr	ORG
m-815	156	1	kr	ORG
m-815	156	2	07	CARDINAL
m-815	156	3	03	CARDINAL
m-815	158	1	9	CARDINAL
m-815	158	2	2992-4421	DATE
m-815	158	3	venuprasad k.	PERSON
m-815	160	1	07	CARDINAL
m-815	160	2	03	CARDINAL
m-815	160	3	2024	CARDINAL
m-815	160	4	mhd	ORG
m-815	160	5	second	ORDINAL
m-815	162	1	3	CARDINAL
m-815	162	2	4	CARDINAL
m-815	163	1	kr	ORG
m-815	164	1	fig.	DATE
m-815	165	1	5	CARDINAL
m-815	166	1	0	CARDINAL
m-815	167	1	r.	NORP
m-815	170	1	07	CARDINAL
m-815	170	2	03	CARDINAL
m-815	172	1	10	CARDINAL
m-815	172	2	2992-4421	DATE
m-815	172	3	venuprasad k.	PERSON
m-815	174	1	07	CARDINAL
m-815	174	2	03	CARDINAL
m-815	174	3	2024	CARDINAL
m-815	174	4	mhd	ORG
m-815	174	5	0.71	CARDINAL
m-815	174	6	1.227544	MONEY
m-815	174	7	1.513705	MONEY
m-815	178	1	07	CARDINAL
m-815	178	2	03	CARDINAL
m-815	180	1	11	CARDINAL
m-815	180	2	ijo international journal of mathematics	ORG
m-815	180	3	2992-4421	DATE
m-815	180	4	venuprasad k.	PERSON
m-815	182	1	07	CARDINAL
m-815	182	2	03	CARDINAL
m-815	182	3	2024	CARDINAL
m-815	182	4	mhd	ORG
m-815	182	5	k α kr sr gr gm h r	PERSON
m-815	182	6	0.5 0.5	CARDINAL
m-815	182	7	2	CARDINAL
m-815	182	8	x	GPE
m-815	182	9	y	GPE
m-815	182	10	x	GPE
m-815	184	1	0.8	CARDINAL
m-815	184	2	1.624789	MONEY
m-815	184	3	1.335469	MONEY
m-815	184	4	1.705478	CARDINAL
m-815	184	5	1.976547	ORG
m-815	184	6	1.939665	CARDINAL
m-815	184	7	07	CARDINAL
m-815	184	8	03	CARDINAL
m-815	186	1	12	CARDINAL
m-815	186	2	ijo international journal of mathematics	ORG
m-815	186	3	2992-4421	DATE
m-815	186	4	venuprasad k.	PERSON
m-815	188	1	07	CARDINAL
m-815	188	2	03	CARDINAL
m-815	188	3	2024	CARDINAL
m-815	188	4	mhd	ORG
m-815	188	5	the sherwood number(pr=0.710,r=2.0,h=-2.0	ORG
m-815	188	6	sr kr sc t	ORG
m-815	188	7	0.1 2 0.22 0.2	QUANTITY
m-815	188	8	2	CARDINAL
m-815	188	9	second	ORDINAL
m-815	188	10	sr	ORG
m-815	188	11	gm	ORG
m-815	190	1	kr	PERSON
m-815	190	2	3	CARDINAL
m-815	192	1	1]w	CARDINAL
m-815	193	1	tan	PERSON
m-815	193	2	t. masuoka	GPE
m-815	193	3	first	ORDINAL
m-815	193	4	second	ORDINAL
m-815	194	1	j. nonlinear mech	PERSON
m-815	195	1	40 (2005	DATE
m-815	195	2	515–522	CARDINAL
m-815	196	1	2	CARDINAL
m-815	196	2	m.m.	PERSON
m-815	196	3	s.a. majid	PERSON
m-815	196	4	a. mostafa	PERSON
m-815	196	5	second	ORDINAL
m-815	197	1	probl	ORG
m-815	198	1	eng	PERSON
m-815	198	2	18 (2010	DATE
m-815	198	3	706840	DATE
m-815	199	1	ijo	ORG
m-815	199	2	07	CARDINAL
m-815	199	3	03	CARDINAL
m-815	201	1	13	CARDINAL
m-815	201	2	ijo international journal of mathematics	ORG
m-815	201	3	2992-4421	DATE
m-815	201	4	venuprasad k.	PERSON
m-815	203	1	07	CARDINAL
m-815	203	2	03	CARDINAL
m-815	203	3	2024	CARDINAL
m-815	203	4	mhd	ORG
m-815	204	1	3	CARDINAL
m-815	205	1	m. qasim	PERSON
m-815	205	2	s.a. shehzad	PERSON
m-815	205	3	a. alsaedi	PERSON
m-815	205	4	second	ORDINAL
m-815	205	5	alexandria eng	PERSON
m-815	206	1	j. 53	PERSON
m-815	206	2	2014	DATE
m-815	206	3	455–461	CARDINAL
m-815	207	1	4].j	CARDINAL
m-815	208	1	hartmann	ORG
m-815	208	2	hg-dynamics	ORG
m-815	208	3	det kongelige	PERSON
m-815	208	4	danske videnskabernes	ORG
m-815	208	5	15 (1937) 1–27	DATE
m-815	209	1	5	CARDINAL
m-815	209	2	murty	PERSON
m-815	209	3	a. gupta	PERSON
m-815	209	4	n. mandloi	PERSON
m-815	209	5	a. shukla	PERSON
m-815	209	6	indian	NORP
m-815	211	1	45	CARDINAL
m-815	211	2	2007	DATE
m-815	211	3	745–748	CARDINAL
m-815	212	1	6]m.v	CARDINAL
m-815	213	1	krishna	PERSON
m-815	213	2	a.j. chamkha	PERSON
m-815	213	3	15 (2019	DATE
m-815	213	4	102652	DATE
m-815	215	1	7	CARDINAL
m-815	215	2	m.v. krishna	PERSON
m-815	215	3	g.s. reddy	PERSON
m-815	215	4	a.j. chamkha	PERSON
m-815	215	5	second	ORDINAL
m-815	215	6	two	CARDINAL
m-815	215	7	30	DATE
m-815	215	8	2018	DATE
m-815	215	9	023106	DATE
m-815	215	10	1.5010863	CARDINAL
m-815	216	1	8	CARDINAL
m-815	216	2	krishna	GPE
m-815	216	3	m.v.	GPE
m-815	216	4	second	ORDINAL
m-815	216	5	30	DATE
m-815	216	6	2018	DATE
m-815	216	7	053101	DATE
m-815	216	8	https://doi.org/10.1063/ 1.5025542	ORG
m-815	217	1	9	CARDINAL
m-815	217	2	tahkar hs	PERSON
m-815	217	3	gorla sr	PERSON
m-815	219	1	1996	DATE
m-815	219	2	6	CARDINAL
m-815	220	1	10]hossain am	TIME
m-815	220	2	rees das	PERSON
m-815	222	1	1999	DATE
m-815	222	2	42	CARDINAL
m-815	222	3	181–191	CARDINAL
m-815	223	1	11	CARDINAL
m-815	223	2	kumar gs	PERSON
m-815	224	1	mach 2004	EVENT
m-815	224	2	31	CARDINAL
m-815	224	3	35–46	CARDINAL
m-815	225	1	ijo	ORG
m-815	225	2	07	CARDINAL
m-815	225	3	03	CARDINAL
m-815	227	1	14	CARDINAL