Effect of Fluctuating Surface Heat and Mass Flux on Natural Convection Flow along a Vertical Flat Plate

Table 3

Comparison of the values of amplitude and phase angels of the local surface concentration, obtained by perturbation method and finite difference method, while Pr = 0.7, Sc = 0.22, , and .

Keller	Series and asymp.	Keller	Series and asymp.
0.0000	1.53621	1.53620^1	0.00000	0.00000^1
0.1002	1.53298	1.53484^1	3.02864	3.42313^1
0.2013	1.52326	1.53484^1	6.04759	5.00983^1
0.3045	1.50730	1.52422^1	9.04992	5.13372^1
0.4108	1.48535	1.51529^1	12.03249	6.83417^1
0.5024	1.46265	1.50561^1	14.50248	8.33942^1
0.5975	1.43599	1.49615^1	16.95796	9.79256^1
0.6967	1.40540	1.48654^1	19.39603	10.85799^1
0.8009	1.37088	1.47676^1	21.80920	11.00362^1
0.9105	1.33244	1.47121^1	24.18315	12.87376^1
1.0995	1.26326	1.46922^2	27.84154	13.63863^2
1.6984	1.05333	1.9636^2	35.72082	20.8994^2
1.7991	1.02297	1.8229^2	36.56183	21.9220^2
1.9043	0.99316	1.6977^2	37.32884	22.9334^2
2.0143	0.96403	1.5857^2	38.02563	23.9307^2
2.0904	0.94505	1.5857^2	38.45352	24.9113^2
2.2089	0.91727	1.3948^2	39.04424	25.8726^2
4.0219	0.66171	0.7996^2	42.83438	34.6990^2
5.0216	0.58795	0.6577^2	43.48498	37.5134^2
6.0502	0.53315	0.5914^2	43.86996	38.8672^2
7.0417	0.49270	0.5352^2	44.10680	40.0001^2
8.0555	0.45964	0.4867^2	44.27340	40.9397^2
9.0596	0.43272	0.4720^2	44.39253	41.4722^2
10.0179	0.41102	0.4315^2	44.47848	41.9387^2
20.2113	0.28796	0.2929^2	44.81842	43.8923^2
30.1619	0.23543	0.2376^2	44.90023	44.3870^2
40.0461	0.20421	0.2037^2	44.93467	44.6077^2
50.5732	0.18167	0.1840^2	44.95390	44.7089^2
60.7511	0.16572	0.1663^2	44.96498	44.7840^2
70.5839	0.15373	0.1541^2	44.97199	44.8274^2

Standing for series solution; ²standing for asymptotic solution.