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Analysis of the transpiration cooling of a thin porous plate in a hot laminar convective flow

Authors
Journal
European Journal of Mechanics - B/Fluids
0997-7546
Publisher
Elsevier
Publication Date
Volume
18
Issue
2
Identifiers
DOI: 10.1016/s0997-7546(99)80025-9

Abstract

Abstract This paper deals with the asymptotic and numerical analysis for the steady-state transpiration cooling of a thin porous flat plate in a laminar hot convective flow, taking into account the streamwise heat conduction through the plate. For high conductivity plates, a regular perturbation analysis has been carried out, yielding a three-term asymptotic solution for the distribution of plate temperature. In the limit of a very poorly conducting plate, a singular perturbation technique, based on matched asymptotic expansions, is employed to solve the governing equations. We also solved the equations numerically using a quasilinearization technique. The numerical results are in good agreement with the asymptotic solution close to the asymptotic limits studied.

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