Table 5.

The impact of $R_e$, $\beta$, Ha, ${\mathrm{\varphi }}_1$,${\mathrm{\varphi }}_2$, and ${\mathrm{\varphi }}_3$ on the SFC and Nusselt number for contraction and expansion case, for $R_0=1,S=3,R_d=1,N_1=1.$

$R_e$	$\beta$	Ha	${\varphi }_1={\varphi }_2={\varphi }_3$	$C_{f-1}$ for contraction case $(\alpha =-0.5)$	$N_u\left|{}_{\eta =-1}\right)$ for contraction case $(\alpha =-0.5)$	$C_{f-1}$ for expansion case $(\alpha =0.5)$	$N_u\left|{}_{\eta =-1}\right)$ for expansion case $(\alpha =0.5)$
− 2	0.2	1	2%	6.6282	0.1502	6.3339	0.0390
− 0.5				26.6857	1.3614	25.4620	0.4405
0.5				26.8082	4.0747	25.5529	1.7113
2				6.7513	11.2320	6.4257	6.9557
− 0.5	0.2			26.6857	1.3614	25.4620	0.4405
	0.4			15.716	1.3505	14.5098	0.4361
	0.7			11.0645	1.3398	9.8495	0.4316
	1			9.2097	1.3328	8.0018	0.4286
		2		26.6029	1.3587	25.3802	0.4397
		4		26.4289	1.3537	25.2070	0.4380
		6		26.2456	1.3488	25.0236	0.4365
− 0.5	0.2	1	3%	23.0584	1.4021	21.9994	0.4669
			4%	19.8505	1.4434	18.9455	0.4945
			5%	17.0228	1.4854	16.2587	0.5232
			6%	14.5389	1.5279	13.9013	0.5531