Influence of fluctuating surface temperature and concentration on natural convection flow from a vertical flat plate

Reference:

Hossain, M. A., Hussain, S. and Rees, D. A. S., 2001. Influence of fluctuating surface temperature and concentration on natural convection flow from a vertical flat plate. Zeitschrift Fur Angewandte Mathematik Und Mechanik, 81 (10), pp. 699-709.

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Abstract

A linearized theory is used to investigate how a free double-diffusive boundary layer flow is affected by small amplitude temporal variations in the surface temperature and species concentration. The mean temperature and the mean species concentration are assumed to vary as a power n of the distance measured from the leading edge. Three distinct methods, namely, a perturbation method for low frequencies, an asymptotic series expansion for high frequencies, and a finite difference method for intermediate frequencies, are used. Calculations have been carried out for a wide range of parameters in order to examine the results obtained from the three methods. Comparisons are made in. terms of the amplitudes and phases of the surface. heat transfer and surface mass transfer. It has been found that the amplitudes and phase angles predicted by perturbation theory and the asymptotic method are in good agreement with the finite difference computations.

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