Effect of Arbitrary Nonsteady Wall Temperature on Incompressible Heat Transfer

[+] Author and Article Information
T. R. Goodman

Applied Mathematics Dept., Allied Research Associates, Inc., Boston, Mass.

J. Heat Transfer 84(4), 347-351 (Nov 01, 1962) (5 pages) doi:10.1115/1.3684393 History: Received July 28, 1961


The title problem is solved using an integral method and ignoring viscous dissipation. A partial differential equation is derived which yields as special cases Lighthill’s non-uniform heat-transfer formula and the nonsteady heat conduction in a slab. The differential equation is then specialized to the nonsteady but uniform heat transfer on a flat plate. Comparisons with other solutions are made when available, and it is shown that the integral method produces accuracy of a few per cent in these limiting cases.

Copyright © 1962 by ASME
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