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

Table 2

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							21.97653 (10.27675)	2.83813 (1.70953)	1.38014 (0.66173)	2.60161 (1.54850)	2.94816 (1.78238)	3.01186 (1.82402)
	0							7.19144 (2.24508)	1.85863 (0.80540)	0.89765 (0.36166)	1.69425 (0.71946)	1.93639 (0.84714)	1.98180 (0.87179)
	1							3.12331 (0.85654)	1.67897 (0.87403)	0.75490 (0.35695)	1.50685 (0.76213)	1.76256 (0.93064)	1.81201 (0.96479)
0.2	−1							8.28421 (4.98050)	1.87820 (1.20322)	0.98806 (0.50472)	1.73707 (1.08332)	1.94347 (1.25792)	1.98114 (1.28916)
	0							4.29569 (2.03295)	1.61240 (0.81721)	0.80832 (0.35273)	1.47475 (0.72457)	1.67759 (0.86250)	1.71568 (0.88933)
	1							2.61520 (0.83925)	1.69789 (0.78169)	0.77746 (0.30148)	1.52666 (0.67010)	1.78105 (0.83928)	1.83026 (0.87434)
0.3	−1							5.32651 (3.83896)	1.59751 (1.08646)	0.87461 (0.46868)	1.48397 (0.97392)	1.64991 (1.13936)	1.68012 (1.16998)
	0							3.39676 (1.97392)	1.55082 (0.80880)	0.79147 (0.32899)	1.42074 (0.70805)	1.61248 (0.85897)	1.64851 (0.88895)
	1							2.37773 (0.89485)	1.73187 (0.60914)	0.80281 (0.22770)	1.55938 (0.50839)	1.81562 (0.66417)	1.86517 (0.69865)
0.4	−1							4.18935 (3.36425)	1.48697 (1.27934)	0.83076 (0.40355)	1.38419 (1.31977)	1.53439 (1.29417)	1.56172 (1.30698)
	0							2.97529 (1.98120)	1.53913 (2.00757)	0.79355 (0.26050)	1.41135 (−2.95626)	1.59972 (1.64605)	1.63513 (1.55295)
	1							2.23941 (1.00247)	1.76664 (2.39461)	0.82624 (0.08520)	1.59238 (10.44973)	1.85121 (2.02516)	1.90123 (1.90673)
0.5	−1							3.61818	1.43979	0.81724	1.34168	1.48506	1.51116
	0	2.73362	1.54507	0.80616	1.41769	1.60549	1.64081	2.73363	1.54508	0.80624	1.41769	1.60549	1.64082
	1							2.14837	1.79888	0.85103	1.62283	1.88430	1.93481
1.0	−1							2.70104	1.42520	0.82117	1.32957	1.46943	1.49496
	0	2.27460	1.61711	0.85436	1.48585	1.67939	1.71581	2.27460	1.61711	0.85442	1.48585	1.67939	1.71581
	1							1.94189	1.91652	0.92221	1.73321	2.00533	2.05781
2.0	−1							2.32953	1.49149	0.86159	1.39128	1.53794	1.56479
	0	2.05196	1.71597	0.91272	1.57799	1.78143	1.81972	2.05197	1.71596	0.91276	1.57799	1.78143	1.81972
	1							1.82082	2.03278	0.99058	1.84182	2.12517	2.17974
5.0	−1							2.12308	1.57802	0.91143	1.47155	1.62747	1.65606
	0	1.91654	1.81917	0.97201	1.67387	1.88812	1.92843	1.91654	1.81917	0.97203	1.67387	1.88811	1.92843
	1							1.73902	2.14410	1.05523	1.94559	2.24003	2.29666
Sc				0.22	0.60	0.75	0.78			0.22	0.60	0.75	0.78