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Free Convection Effects on the Oscillatory Flow Past an Infinite, Vertical, Porous Plate with Constant Suction. II

V. M. Soundalgekar

Abstract

An analysis of a two-dimensional flow of an incompressible, viscous fluid is presented here for the unsteady flow. The mathematical analysis having been presented in part I, only the solutions for the transient velocity profiles, transient temperature profiles, the amplitude and the phase of the skin friction and the rate of heat transfer are presented in this paper. They are shown graphically. The effects of heating or cooling the plate $(G\lessgtr 0)$ the Eckert number (E), the Prandtl number (P), and the frequency $(\omega)$ are discussed. It has been observed that a reversed type of flow occurs when the plate is heated by the free convection currents. The amplitude of the skin friction is not affected significantly by the free convection currents when the frequency is large. In the case of air, the phase of the skin friction is more, when the plate is cooled than that when it is heated, by the free convection currents. Also, owing to greater viscous dissipative heat for G > 0, or to greater cooling of the plate, the amplitude of the skin friction increases, whereas owing to greater viscous dissipative heat for G < 0 or to greater heating of the plate, the amplitude of the skin friction decreases. But the amplitude of the rate of heat transfer increases owing to greater heating or cooling of the plate. However, it is more when the plate is cooled than that when the plate is heated.

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