Analytical Solution of Flow and Heat Transfer over a Permeable Stretching Wall in a Porous Medium

Table 1

The results of HAM and NS for 𝑓(𝜂), 𝑓^′(𝜂), and 𝜃(𝜂) when 𝑓_𝑤=0, Pr=1, 𝑛=0, and Re=1.

𝜂	𝑓(𝜂)		𝑓^′(𝜂)		𝜃(𝜂) (temperature)		𝜃(𝜂) (heat flux)
	HAM	NS	HAM	NS	HAM	NS	HAM	NS
0.0	0.00000	0.00000	0.99999	1.00000	0.999999	1.00000	1.9565	1.9615
0.2	0.17042	0.17420	0.75376	0.75363	0.89633	0.89996	1.7677	1.7627
0.4	0.30564	0.30549	0.56813	0.75363	0.80205	0.80327	1.5658	1.5706
0.6	0.40571	0.40443	0.42820	0.42804	0.71301	0.71225	1.3856	1.3898
0.8	0.47505	0.47900	0.32272	0.32259	0.62792	0.62826	1.2210	1.2229
1.0	0.53802	0.53519	0.24322	0.24311	0.55226	0.55191	1.0690	1.0712
1.2	0.58010	0.57754	0.18330	0.18322	0.48134	0.48329	0.9313	0.9340
1.4	0.61161	0.60946	0.13814	0.13808	0.42056	0.42214	0.8094	0.8134
1.6	0.64096	0.63352	0.10410	0.10406	0.36595	0.36800	0.6943	0.7058
1.8	0.65374	0.65165	0.07845	0.07842	0.31817	0.32029	0.6095	0.6110
2.0	0.66952	0.66531	0.05912	0.05910	0.27657	0.27841	0.5193	0.5278
2.2	0.67812	0.67560	0.04455	0.04454	0.23934	0.24175	0.4480	0.4549
2.4	0.68567	0.68336	0.03357	0.03357	0.20813	0.20971	0.3861	0.3913
2.6	0.69054	0.68921	0.02530	0.02529	0.17972	0.18177	0.3323	0.3358
2.8	0.69675	0.69362	0.01907	0.01906	0.15519	0.15743	0.2858	0.2874
3.0	0.69842	0.69694	0.01437	0.01436	0.13407	0.13623	0.2456	0.2453