Influence of Stefan blowing and variable thermal conductivity in magnetized flow of Sutterby nanofluid through porous medium

Figures & data

Figure 1. Geometry of the flow problem.

Figure 2. (a) Curves of $f^{\mathrm{\prime }}(\eta )$ against $A.$ (b) Curves of $g(\eta )$ against $A.$

Figure 3. (a) Curves of $f^{\mathrm{\prime }}(\eta )$ against $M.$ (b) Curves $g(\eta )$ against $M.$

Figure 4. (a) Curves of $f^{\mathrm{\prime }}(\eta )$ against $P_0.$ (b) Curves of $g(\eta )$ against $P_0.$

Figure 5. (a) Curves of $f^{\mathrm{\prime }}(\eta )$ against $\epsilon .$ (b) Curves of $g(\eta )$ against $\epsilon .$

Figure 6. (a) Curves of $f^{\mathrm{\prime }}(\eta )$ against $\mathrm{Re}.$ (b) Curves of $g(\eta )$ against $\mathrm{Re}.$

Figure 7. (a) Curves of $\theta (\eta )$ against ${\epsilon }_0.$ (b) Curves of $\theta (\eta )$ against $\beta .$ (c) Curves of $\theta (\eta )$ against ${\lambda }_0.$

Figure 8. (a) Curves of $\theta (\eta )$ against $\mathrm{Nt}.$ (b) Curves of $\theta (\eta )$ against $\mathrm{Nb}.$

Figure 9. (a) Curves of $\varphi (\eta )$ against $\mathrm{Sc}.$ (b) Curves of $\varphi (\eta )$ against $S_w.$ (c) Curves of $\varphi (\eta )$ against $\gamma .$

Figure 10. (a) Drag force $C{f}_r$ against $P_0.$ (b): Drag force $C{f}_v$ against $P_0.$

Figure 11. Nusselt number $N{u}_r$ against ${\lambda }_0.$

Figure 12. Sherwood number $S{h}_r$ against $\gamma .$

Table 1. Numeric data of $C_{\mathrm{fr}}$ and $C_{\mathrm{fv}}$ against dissimilar values of $\mathrm{Re},$ $\epsilon ,$ and $M$.

$\mathrm{Re}$	$\epsilon$	$M$	$C_{\mathrm{fr}}$	$C_{\mathrm{fv}}$
0.8	0.1	0.2	0.385889	2.131721
0.9			0.403618	2.251707
1.0			0.419665	2.363994
0.5	0.0		0.318944	1.709272
	0.4		0.316657	1.684567
	0.8		0.309732	1.608336
	0.5	0.0	0.224648	1.570011
		0.3	0.357723	1.719838
		0.6	0.474557	1.863478

Table 2. Numerical data of $N{u}_r$ against dissimilar values of $\mathrm{Re},$ ${\epsilon }_0,$ and $\beta$.

$\mathrm{Re}$	${\epsilon }_0$	$\beta$	$N{u}_r$
0.8	0.1	0.01	0.40486
0.9			0.42950
1.0			0.45278
0.5	0.0		0.34574
	0.4		0.26291
	0.8		0.21474
	0.5	0.00	0.26154
		0.04	0.20496
		0.08	0.12487

Table 3. Numeric data of $S{h}_r$ against dissimilar values of $\mathrm{Sc},$ and $S_w$.

$\mathrm{Sc}$	$S_w$	$S{h}_r$
0.2	0.1	0.12670
0.5		0.26443
1.0		0.44448
2.0	0.2	0.67964
	0.4	0.63159
	0.6	0.59065

Table 4. Comparison of numerical results with [18] in terms of heat transfer rate $-{\theta }^{\mathrm{\prime }}(0)$ against $\mathrm{Nt},\mathrm{Nb}$ and $\mathrm{Pr}$ values by fixing $S_w={\lambda }_0={\epsilon }_0=0$.

$\mathrm{Nb}$	$\mathrm{Nt}$	$\mathrm{Pr}$	$-{\theta }^{\mathrm{\prime }}(0)$ [18]	$-{\theta }^{\mathrm{\prime }}(0)$ [Present]
0.3	0.4	1.5	0.465968	0.465965
0.4			0.492787	0.492785
0.5			0.518591	0.518589
0.4	0.4		0.465968	0.465966
	0.5		0.408976	0.408973
	0.6		0.359573	0.359572
		1.5	0.465968	0.465966
		1.6	0.474061	0.474058
		1.7	0.480876	0.480874

Hayat T, Ahmad S, Khan MI, et al. Modeling chemically reactive flow of Sutterby nanofluid by a rotating disk in presence of heat generation/absorption. Commun Theor Phys. 2018;69:569–576. doi:10.1088/0253-6102/69/5/569

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