Free convection effects on the flow past an infinite vertical oscillating plate

Astronomy and Astrophysics – Astrophysics

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Convective Heat Transfer, Flat Plates, Free Convection, Incompressible Fluids, Structural Vibration, Prandtl Number, Velocity Distribution, Viscous Flow

Scientific paper

The paper studies the effects of oscillating vertical plate and free convection currents on the flow of a viscous fluid which is stationary and extending to infinity. Attention is given to the effects of plate oscillations and the free convection currents on the leading edge effects. The mathematical analysis is presented under the following assumptions: uniform fluid-properties in time and space, laminar flow, smooth surface, no-slip condition at the surface, zero pressure gradient, and fluid motion due to shear stress and free convection currents only. It is found that greater cooling of the plate causes the velocity to increase, while greater heating causes it to decrease. Condition for which the flow may become unstable due to greater cooling of the plate is identified. The leading edge effect is not affected by plate oscillation, the effect decreasing with increasing Prandtl number.

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