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

Table 2

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

Keller	Series and asymp.	Keller	Series and asymp.
0.0000	1.4273	1.42738^1	0.00000	0.00000^1
0.1002	1.42469	1.42627^1	2.99340	2.68514^1
0.2013	1.41650	1.42292^1	5.99132	5.37870^1
0.3045	1.40272	1.40877^1	8.99521	7.08826^1
0.4108	1.38327	1.38864^1	12.00221	9.81945^1
0.5024	1.36270	1.36990^1	14.50581	8.39808^1
0.5975	1.33815	1.33728^1	17.00177	9.81636^1
0.6967	1.30965	1.31337^1	19.48248	11.24410^1
0.8009	1.27723	1.29649^1	21.93677	12.84996^1
0.9105	1.24099	1.25415^1	24.34766	14.08462^1
1.0028	1.20936	1.23616^2	26.22925	15.45600^2
1.5095	1.03562	2.03802^2	34.05537	19.7270^2
1.6019	1.00658	1.88270^2	35.04818	20.7739^2
1.6984	0.97772	1.74540^2	35.96272	21.8113^2
1.7991	0.94923	1.6235^2	36.79935	22.8364^2
1.9043	0.92130	1.5149^2	37.56064	23.8464^2
2.0143	0.89404	1.4176^2	38.25065	24.8384^2
5.0216	0.54424	0.6023^2	43.57451	37.9955^2
6.0502	0.49349	0.5428^2	43.94037	39.2737^2
7.0417	0.45604	0.4520^2	44.16434	40.3392^2
8.0555	0.42544	0.4281^2	44.32133	41.2201^2
9.0596	0.40053	0.4219^2	44.43331	42.7183^2
10.0179	0.38044	0.3979^2	44.51393	42.1542^2
20.2113	0.26657	0.2708^2	44.83141	43.9730^2
30.1619	0.21795	0.2198^2	44.90746	44.4320^2
40.0461	0.18905	0.1885^2	44.93943	44.6366^2
50.5732	0.16818	0.1603^2	44.95727	44.7304^2
60.7511	0.15342	0.1539^2	44.96755	44.8000^2
70.5839	0.14232	0.1427^2	44.97404	44.84020^2

Standing for series solution; ²standing for asymptotic solution.