Heat and mass transfer of nanofluid through an impulsively vertical stretching surface using the spectral relaxation method

Boundary Value Problems

Table 4 Comparison of the SRM solutions for \(\pmb{f''(\xi,0)}\) , \(\pmb{-\theta '(\xi,0)}\) , and \(\pmb{-\phi'(\xi,0)}\) against those of the SQLM at different values of ξ , \(\pmb{N_{T} = 0.1}\) , \(\pmb{\mathit{N_{b}} = 0.1}\) , \(\pmb{\mathit{Pr} = 7}\) , \(\pmb{\mathit{Gr}_{t} = 0.1}\) , \(\pmb{\mathit{Gr}_{c} = 0.1}\) , \(\pmb{\mathit{Sc} = 1}\) , \(\pmb{\phi=0.2}\) , \(\pmb{\gamma=2}\) , \(\pmb{\mathit{Ha}= 3}\)

ξ	\(\boldsymbol{f''(\xi,0)}\)		\(\boldsymbol{-\theta'(\xi ,0)}\)		\(\boldsymbol{-\phi'(\xi,0)}\)
ξ	SRM	SQLM	SRM	SQLM	SRM	SQLM
0.1	−1.024404	−1.024404	0.861024	0.861024	0.372386	0.372386
0.2	−1.062742	−1.062742	0.864900	0.864900	0.389380	0.389380
0.3	−1.088333	−1.088333	0.872739	0.872739	0.386305	0.386305
0.4	−1.108200	−1.108200	0.882753	0.882753	0.372517	0.372517
0.5	−1.124261	−1.124261	0.894651	0.894651	0.350129	0.350129
0.6	−1.136890	−1.136890	0.908632	0.908632	0.318838	0.318838
0.7	−1.145390	−1.145390	0.925350	0.925350	0.276272	0.276272
0.8	−1.146964	−1.146964	0.946411	0.946411	0.216141	0.216141
0.9	−1.127531	−1.127531	0.977047	0.977047	0.118365	0.118365
1.0	−4.252384	−4.252384	1.495226	1.495226	0.463421	0.463421