Applications of variable thermal features for the bioconvective flow of Jeffrey nanofluids due to stretching surface with masssuction effects: Cattaneo-Christov model

doi:10.1007/s10483-025-3213-8

Abstract

Abstract:

The thermal nanofluids have garnered widespread attention for their use in multiple thermal systems, including heating processes, sustainable energy, and nuclear reactions. Research on nanofluids has revealed that the thermal efficiencies of such materials are adversely affected by various thermal features. The purpose of the current work is to demonstrate the thermal analysis of Jeffrey nanofluids with the suspension of microorganisms in the presence of variable thermal sources. The variable effects of thermal conductivity, Brownian diffusivity, and motile density are utilized. The investigated model also reveals the contributions of radiation phenomena and chemical reactions. A porous, saturated, moving surface with a suction phenomenon promotes flow. The modeling of the problem is based on the implementation of the Cattaneo-Christov approach. The convective thermal constraints are used to promote the heat transfer features. A simplified form of the governing model is treated with the assistance of a shooting technique. The physical effects of different parameters for the problem are presented. The current problem justifies its applications in heat transfer, coating processes, heat exchangers, cooling systems in microelectronics, solar systems, chemical processes, etc.

Key words: Jeffrey nanofluid, bioconvection effect, variable thermal consequence, chemical reaction, numerical simulation

2010 MSC Number:

O357

S. U. KHAN, M. GARAYEV, ADNAN, K. RAMESH, M. EL MELIGY, D. ABDUVALIEVA, M. I. KHAN. Applications of variable thermal features for the bioconvective flow of Jeffrey nanofluids due to stretching surface with masssuction effects: Cattaneo-Christov model. Applied Mathematics and Mechanics (English Edition), 2025, 46(2): 391-402.

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Figures/Tables 7

Fig. 1

Table 1

Comparison of current results for f″(0) when β=γp=0"

$H$	Turkyilmazoglu^[34]	Present result
0.5	-1.224 744 87	-1.224 744 89
1	-1.414 213 56	-1.414 213 57
1.5	-1.581 138 83	-1.581 138 83
2	-1.732 050 81	-1.732 050 84

Table 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Table 2

Analysis for Nusselt number, Sherwood number, and motile density number"

$H$	$γ p$	$δ$	$P r$	$λ$	Nusselt number	Sherwood number	Motile density number
0.2	0.1	0.3	0.3	0.5	0.827 41	0.662 44	0.556 43
0.4	0.1	0.3	0.3	0.5	0.776 23	0.650 64	0.533 13
0.6	0.1	0.3	0.3	0.5	0.728 54	0.632 33	0.526 45
0.6	0.4	0.3	0.3	0.5	0.789 51	0.625 43	0.590 53
0.6	0.8	0.3	0.3	0.5	0.777 53	0.575 36	0.574 67
0.6	1.4	0.3	0.3	0.5	0.752 68	0.530 54	0.567 85
0.6	1.4	0.2	0.3	0.5	0.838 90	0.645 34	0.544 50
0.6	1.4	0.6	0.3	0.5	0.810 15	0.626 75	0.523 38
0.6	1.4	1.0	0.3	0.5	0.789 37	0.597 51	0.487 42
0.6	1.4	1.0	0.2	0.5	0.885 32	0.572 33	0.569 85
0.6	1.4	1.0	0.4	0.5	0.935 32	0.588 87	0.597 69
0.6	1.4	1.0	0.6	0.5	0.993 34	0.616 87	0.619 51
0.6	1.4	1.0	0.6	0.4	0.809 73	0.694 47	0.607 53
0.6	1.4	1.0	0.6	1.0	0.775 32	0.716 87	0.622 48
0.6	1.4	1.0	0.6	1.6	0.740 37	0.737 41	0.653 21

Table 2

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