Series Solutions for Marangoni Convection on a Vertical Surface

Table 1

𝑚	𝑑	𝛼	𝜁=𝑓^(0)
−0.7	−3.647038235	1.151595555	2.124598444
−0.6	−2.965760980	1.127415834	1.983315576
−0.5	−2.637757681	1.06387919	1.732325541
−0.4	−2.376172862	1.033354073	1.593916052
−0.3	−2.162310710	1.014414456	1.494034266
−0.2	−1.984074328	1.001820070	1.415321059
−0.1	−1.833183771	0.9933978501	1.350675806
0	−1.703758050	0.9879394966	1.296185235
0.1	−1.591498354	0.9846733013	1.249367842
0.2	−1.493186863	0.9830710732	1.208532122
0.3	−1.406365745	0.9827560858	1.172472117
0.4	−1.329124551	0.9834517804	1.140299628
0.5	−1.259955423	0.9849505390	1.111343438
0.6	−1.197652064	0.9870936108	1.085085341
0.7	−1.141237758	0.9897577103	1.061117897
0.8	−1.089913110	0.9928458034	1.039115668
0.9	−1.043017465	0.9962806209	1.018815071
1	−1	1	1