Soret–Dufour effects on MHD heat and mass transfer of Walter’s-B viscoelastic fluid over a semi-infinite vertical plate: spectral relaxation analysis

Figures & data

Figure 1: Physical model of the problem.

Figure 2: Effects of (a) Prandtl number and (b) radiation parameter on velocity profiles.

Figure 3: Effects of (a) Soret number and (b) Dufour number on velocity profiles.

Figure 4: Effects of (a) Viscoelastic fluid parameter and heat generation on velocity profiles.

Figure 5: Effects of (a) Schmidt number and (b) chemical reaction parameter on the velocity profiles.

Figure 6: Effects of (a) Eckert number and (b) magnetic parameter on the velocity profiles.

Figure 7: Effects of (a) thermal Grashof number and (b) mass Grashof number on velocity profiles.

Figure 8: Effects of (a) Prandtl number and (b) radiation parameter on temperature profiles.

Figure 9: Effects of (a) Dufour number and (b) heat generation parameter on the temperature profiles.

Figure 10: Effects of (a) Soret number and (b) Schmidt number on the concentration profiles.

Figure 11: Effect of chemical reaction parameter on the concentration profile.

Table 1. Computational values for skin friction coefficient $\mathit{C}\mathit{f}$ and Nusselt number for various values of Schmidt number compared with [22] when $\mathit{\alpha }=\mathit{\delta }=\mathbf{\Delta }=\mathit{D}\mathit{u}=\mathit{S}\mathit{r}=0$.

	Present study		[22]
$Sc$	$Cf$	$Sh$	$Cf$	$Sh$
0.22	3.1067	0.4512	3.1068	0.4515
0.60	2.4546	0.8429	2.4548	0.8431
0.78	2.2766	1.0212	2.2767	1.0214
0.94	2.1539	1.1744	2.1540	1.1745

Table 2. Computational values for skin friction coefficient $\mathit{C}\mathit{f}$ and Nusselt number for various values of thermal radiation parameter compared with [23] when $\mathit{\alpha }=\mathit{\delta }=\mathbf{\Delta }=0$.

	Present study		[23]
$Rr$	$Cf$	${\vartheta }^{\mathrm{\prime }}\left(0\right)$	$Cf$	${\vartheta }^{\mathrm{\prime }}\left(0\right)$
0.0	1.7939	0.7452	1.7940	0.7455
0.4	1.9164	0.6532	1.9166	0.6533
0.8	2.0108	0.6049	2.0111	0.6051
1.0	2.0509	0.5889	2.0512	0.5892

Table 3. Computational values for skin friction coefficient $\mathit{C}\mathit{f}$, Nusselt number and Sherwood number with variation of Dufour parameter.

$Du$	$Cf$	$Nh$	$Sh$
0.0	0.9572	0.4174	0.6993
0.5	1.3468	0.5551	0.6993
1.0	1.7364	0.6928	0.6993

Table 4. Computational values for skin friction coefficient $\mathit{C}\mathit{f}$, Nusselt number and Sherwood number with variation of Soret parameter.

$Sr$	$Cf$	$Nh$	$Sh$
0.0	1.2097	0.6377	0.5353
0.5	1.5806	0.6377	0.6993
1.0	1.9514	0.6377	0.8633

Rao VS, Baba LA, Raju RS. Finite element analysis of radiation and mass transfer flow past semi-infinite moving vertical plate with viscous dissipation. J Appl Fluid Mech. 2013;6:321–329.

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Alao FI, Fagbade AI, Falodun BO. Effects of thermal radiation, Soret and Dufour on an unsteady heat and mass transfer flow of a chemically reacting fluid past a semi-infinite vertical plate with viscous dissipation. J Nigerian Math Soc. 2016;35:142–158. doi: 10.1016/j.jnnms.2016.01.002

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