An exact solution to the free convection flow influenced by gravity modulation has been derived by the Laplace-transform technique. Velocity profiles, penetration distance from the leading edge, and the skin-friction expressions are derived. Velocity profiles and penetration distance are shown graphically, and the numerical values of the skin friction are tabulated. It was observed that the transient velocity decreased with increasing the frequency of gravitymodulation or the Prandtl number but increased with increasing time t. Also, transition from conduction to convection was delayed with increasing t, but it occured nearer the leading edge as the frequency or the Prandtl number increased.
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Deka et al. (2006) studied this question.