Dual Solutions on Thermosolutal Marangoni Forced Convection Boundary Layer with Suction and Injection

Table 3

Values of 𝑓^(0), −𝜃^(0), and −ℎ^(0) for 𝜀=−1 and 𝑓₀=0 (impermeable surface) for different values of 𝛽 when Pr=0.7.

		Pop et al. [21]						Present
𝛽	𝑓0	𝑓′(0)	−𝜃′(0)	−ℎ′(0)				𝑓′(0)	−𝜃′(0)	−ℎ′(0)
0.1	−1							1 (18.69400)	0.42585 (2.60605)	0.31791 (1.28181)	0.41446 (2.39223)	0.43041 (2.70538)	0.43284 (2.76284)
	0							1 (3.43343)	0.78611 (1.34348)	0.44073 (0.68254)	0.72780 (1.23088)	0.81370 (1.39675)	0.82982 (1.42786)
	1							1 (0.02861)	1.26652 (0.88734)	0.58489 (0.41760)	1.13660 (0.79323)	1.33015 (0.93423)	1.36796 (0.96233)
0.2	−1							1 (4.97600)	0.52173 (1.42764)	0.37065 (0.79313)	0.50312 (1.32976)	0.52969 (1.47255)	0.53409 (1.49836)
	0							1 (1.00014)	0.87518 (0.87524)	0.49066 (0.49068)	0.81026 (0.81033)	0.90590 (0.90596)	0.92384 (0.92390)
	1							1 (−0.28079)	1.34283 (0.63887)	0.63095 (0.31836)	1.20818 (0.57116)	1.40866 (0.67331)	1.44774 (0.69417)
0.3	−1							1 (1.91347)	0.59576 (0.90172)	0.41163 (0.56117)	0.57163 (0.85234)	0.60631 (0.92399)	0.61223 (0.93668)
	0							1 (0.24145)	0.94510 (0.56101)	0.52985 (0.35365)	0.87499 (0.52701)	0.97827 (0.57702)	0.99765 (0.58635)
	1							1 (−0.40926)	1.40391 (0.34253)	0.66752 (0.20927)	1.26538 (0.31198)	1.47153 (0.35879)	1.51165 (0.36889)
0.4	−1							1 (0.69584)	0.65507 (0.51595)	0.44459 (0.37337)	0.62654 (0.49813)	0.66768 (0.52364)	0.67480 (0.52792)
	0							1 (−0.08927)	1.00170 (0.25272)	0.56157 (0.21647)	0.92739 (0.24983)	1.03686 (0.25371)	1.05739 (0.25419)
	1							1 (−0.43782)	1.45403 (−0.21212)	0.69734 (0.07165)	1.31228 (−0.12659)	1.52315 (−0.26250)	1.56413 (−0.29559)
0.5	−1							1	0.70405	0.48098	0.67213	0.71830	0.72637
	0	1	1.04866	0.59509	0.97098	1.08544	1.10693	1	1.04866	0.59522	0.97098	1.08544	1.10692
	1							1	1.49598	0.72752	1.35154	1.56636	1.60807
1.0	−1							1	0.85950	0.56415	0.81603	0.87916	0.89038
	0	1	1.19977	0.67691	1.11081	1.24187	1.26646	1	1.19976	0.67700	1.11081	1.24186	1.26645
	1							1	1.63339	0.80629	1.47984	1.70800	1.75217
2.0	−1							1	0.99728	0.63936	0.94367	1.02170	1.03569
	0	1	1.33513	0.75117	1.23611	1.38198	1.40935	1	1.33512	0.75122	1.23611	1.38198	1.40935
	1							1	1.75885	0.87824	1.59682	1.83743	1.88389
5.0	−1							1	1.12221	0.70834	1.05945	1.15093	1.16742
	0	1	1.45865	0.81945	1.35046	1.50985	1.53975	1	1.45865	0.81949	1.35045	1.50984	1.53974
	1							1	1.87489	0.94473	1.70489	1.95719	2.00582
Sc				0.22	0.60	0.75	0.78			0.22	0.60	0.75	0.78