Determination of Boundary Shape of Cooled Porous Region

[+] Author and Article Information
A. Snyder, R. Siegel

National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio 44135

J. Heat Transfer 104(4), 722-727 (Nov 01, 1982) (6 pages) doi:10.1115/1.3245191 History: Received October 19, 1981; Online October 20, 2009


The shape of a cooled porous wall section is found that will provide a uniform surface temperature, as dictated by material limitations, when the surface is subjected to spatially nonuniform heating. In the analysis, local temperatures and pressures in the porous material are expressed in terms of a potential function. From the imposed thermal conditions, this potential function is governed by the dual constraints of both its value and its normal derivative being specified along the heated surface. The unknown shape of this surface is obtained by meeting these dual conditions. The analytical method uses a generalized conformal mapping procedure that includes a curved boundary. The coolant flow can be compressible or incompressible, and its viscosity can depend on temperature.

Copyright © 1982 by ASME
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