Motion of micropolar and Walters-B nanofluids towards a stretching sheet with the significance of heat generation, thermal radiation and Soret–Dufour mechanisms

Figures & data

Figure 1. The fluid flow over a stretching surface.

Figure 2. The impact of viscoelastic parameter on the velocity plot.

Figure 3. Impact of Dufour parameter on the velocity and temp. plots.

Figure 4. Impact of micro-rotation parameter on the vel. plot.

Figure 5. Effect of Brownian motion term on the vel. and concentr. plots.

Figure 6. Effect of thermophoresis term on the vel. and temp. plots.

Figure 7. Effect of Prandtl number on the vel. and temp. plots.

Figure 8. Effect of thermal radiation parameter on the vel. and temp. plots.

Figure 9. Effect of Schmidt number on the vel. and concentr. plots.

Table 1. The computational values that represent the coefficient of skin friction $(C_f),$ Nusselt number $(Nu),$ sherwood number $(Sh)$ for difference values of, $M\mathrm{ }\alpha ,\mathrm{ }{G}_r,$ $R,$ $Pr,$ $Sc,$ $D_u,$ $S_r,$ $Nb,\mathrm{ }Nt,$ $Cf,$ $Nu$ and $Sh.$

$M$	$\alpha$	$G_r$	$R$	$Pr$	$Sc$	$D_u$	$S_r$	$Nb$	$Nt$	$Cf$	$Nu$	$Sh$
0.0										0.4258	0.1412	0.5355
0.5										0.3312	0.1412	0.5353
0.1										0.2162	0.1412	0.5353
	0.2									0.7676	0.3371	0.7977
	0.4									0.6621	0.3371	0.7977
	0.6									0.4220	0.3371	0.7977
		1.0								0.4343	0.2812	0.6112
		2.0								0.8710	0.3897	0.6112
		3.0								1.2396	0.4858	0.6112
			0.0							0.0845	0.3391	0.7177
			0.5							0.6731	0.3471	0.7177
			1.0							1.3052	0.3427	0.7177
				0.71						0.6621	0.3371	0.5002
				1.00						1.2168	0.3380	0.5002
				7.00						2.3040	0.4116	0.5002
					0.22					0.3255	0.4168	0.6401
					0.31					0.6820	0.4168	0.8034
					0.61					1.1911	0.4168	1.0274
						1.0				0.1042	0.1066	0.5125
						2.0				0.4431	0.2712	0.5125
						3.0				0.9905	0.4359	0.5125
							1.0			0.1864	0.5181	0.9776
							2.0			0.4541	0.2812	0.9776
							3.0			0.8710	0.3897	0.9776
								2.0		1.9194	0.7141	1.4814
								3.0		1.8826	0.7141	1.6772
								4.0		1.6342	0.7141	1.7184
									2.0	0.6621	0.3371	0.6005
									3.0	7126	0.7630	0.6005
									4.0	2.9503	1.4573	0.6005

Table 2. Comparing the present study with an existing work.

		Bilal et al. (2022)	Present study			Bilal et al. (2022)	Present study
R	Pr	Nux	Nux	$R$	Pr	Nux	Nux
0.3	0.7	0.245742	0.245743	0.3	0.7	0.245756	0.245755
0.3	0.7	0.241842	0.241844	0.3	0.7	0.241852	0.241851
0.3	0.7	0.234106	0.234108	0.3	0.7	0.234108	0.234108
0.3	0.7	0.245742	0.245741	0.3	0.7	0.245746	0.245748
0.3	0.7	0.324886	0.324885	0.3	0.7	0.324890	0.324892
0.3	0.7	0.402525	0.402524	0.3	0.7	0.402528	0.402530

Bilal et al. (2022) when $Nb=Nt=\delta \gamma =cr=\alpha =0.$

Bilal, M., Saeed, A., Gul, T., Kumam, W., Safyan, M., & Kumam, P. (2022). Parametric simulation of micropolar fluid with thermal radiation across a porous stretching surface. Scientific Report, 12, 2542. doi:10.1038/s41598-022-06458-3

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