Mixed convective flow of Casson and Oldroyd-B fluids through a stratified stretching sheet with nonlinear thermal radiation and chemical reaction

Figures & data

Figure 1. Geometry of the flow problem.

Figure 2. $\hslash -$curves for $f^{\mathrm{\prime }\mathrm{\prime }}\left(0\right)$.

Figure 3. $\hslash -$curves for ${\theta }^{\mathrm{\prime }}\left(0\right)$.

Figure 4. $\hslash -$curves for ${\varphi }^{\mathrm{\prime }}\left(0\right)$.

Figure 5. Influence of $M$ on $f_{\eta }$.

Figure 6. Influence of $\lambda$on $f_{\eta }$.

Figure 7. Influence of $N$on $f_{\eta }$.

Figure 8. Influence of $S_1$ on $\theta$.

Figure 9. Influence of $Rd$ on $\theta$.

Figure 10. Influence of ${\theta }_w$ on $\theta$.

Figure 11. Influence of $S_2$ on $\varphi$.

Figure 12. Influence of $Sc$ on $\varphi$.

Figure 13. Influence of $kr$ on $\varphi$.

Figure 14. (a–d) Streamlines for Casson fluid when $M=0.0$,$M=1.0$,$M=2.0$ and $M=5.0$.

Figure 15. (a–d) Streamlines for Oldroyd-B fluid when $M=0.0$, $M=1.0$, $M=2.0$ and $M=5.0$.

Table 1. Correlation of the current and previous outcomes.

Authors	$Pr=1.0$	$Pr=10.0$
Ramesh et al. [59]	−1.33332	4.79672
Present results	−1.33333	4.7969

Table 2. Physical parameters versus $Nu$ and $Sh$ for Casson fluid.

$M$	$Rd$	$Nt$	$Nb$	$\lambda$	$N$	$Sc$	$Nu$	$Sh$
0.1	0.1	0.1	0.1	0.1	0.1	0.1	0.5421324	0.8565421
0.2							0.5621433	0.8530563
0.3							0.5734240	0.8257342
	0.2						0.6785336	0.8226785
	0.3						0.7432120	0.8207432
		0.2					0.7802376	0.7997802
		0.3					0.8320835	0.7248320
			0.2				0.9532784	0.8895327
			0.3				0.9754699	0.9023754
				0.2			0.9896542	0.9231896
				0.3			0.9996863	0.9421996
					0.2		1.0358541	0.9780358
					0.3		1.3204865	1.1322204
						0.2	1.3204852	1.4633204
						0.3	1.3204844	1.8653432

Table 3. Physical parameters versus $Nu$ and $Sh$ for Oldroyd-B fluid.

$M$	$Rd$	$Nt$	$Nb$	$\lambda$	$N$	$Sc$	$Nu$	$Sh$
0.1	0.1	0.1	0.1	0.1	0.1	0.1	0.5546213	0.8665654
0.2							0.5785621	0.8621530
0.3							0.5882734	0.8102257
	0.2						0.6864785	0.8113226
	0.3						0.7563432	0.8100207
		0.2					0.7932802	0.7832199
		0.3					0.8432320	0.7323248
			0.2				0.9632532	0.8994895
			0.3				0.9877546	0.9130237
				0.2			0.9978965	0.9102231
				0.3			1.0019299	0.9301421
					0.2		1.1231358	0.9887803
					0.3		1.4123204	1.1201322
						0.2	1.4323204	1.4213633
						0.3	1.410204	1.8532653

Ramesh GK, Kumar KG, Shehzad SA, et al. Enhancement of radiation on hydromagnetic Casson fluid flow towards a stretched cylinder with suspension of liquid-particles. Can J Phys. 2018;96:18–24.

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Data availability statement

All data used in this manuscript have been presented within the article.