Effects of Oscillation on Free Convection From a Vertical Finite Plate

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Abstract
The effect of transverse oscillation on free convection from a vertical, finite plate is studied analytically. A second paper will consider the experimental results. Consideration is given to perturbations up to second order for potential flows with small vibrational amplitude and high frequency. Theoretical results are given for velocity, temperature, heat-transfer rate, and shear stress. It is shown that oscillations slightly decrease the steady heat-transfer rate for laminar flow. This reduction is thought to be a result of an interaction between the viscous and inertia forces in the laminar boundary layer which causes a net decrease in the connective flow near the plate.

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