Gravity Modulation Effects on Transient-free Convection Flow Past an Infinite Vertical Isothermal Plate

Abstract

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.