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RESEARCH PAPERS

Unsteady Natural Convection in the Vicinity of a Doubly Infinite Vertical Plate

[+] Author and Article Information
J. A. Schetz

General Applied Science Laboratories, Inc., Westbury, N. Y.

R. Eichhorn

Mechanical Engineering Department, Princeton University, Princeton, N. J.

J. Heat Transfer 84(4), 334-338 (Nov 01, 1962) (5 pages) doi:10.1115/1.3684386 History: Received July 28, 1961

Abstract

The viscous flow equations for the unsteady free convection of a fluid near a doubly infinite vertical plate whose temperature or heat flux is an arbitrary function of time are treated by means of Laplace transforms. Exact solutions are obtained for several typical examples with arbitrary Prandtl number. The results are then generalized to give integral expressions for the velocity and temperature fields due to any prescribed time variation in wall temperature or surface heat flux.

Copyright © 1962 by ASME
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