Nonsimilarity Solutions for Mixed Convection from Horizontal Surfaces in a Porous Medium-Variable Surface Heat Flux

Abstract

A nonsimilarity solution for mixed convection from impermeable horizontal surfaces in a saturated porous medium is obtained for the case of variable heat flux. Solutions that cover the entire regime of mixed convection, including the two limits of pure forced convection and pure free convection, are made possible through using two different transformations to the governing equations. The nonsimilarity parameter ξf=Rax/Pex2 results from transformation of the governing equations for the forced flow dominated regime and the nonsimilarity parameter ξf=Pex/Rax12 arises from transformation of the governing equations for the buoyancy dominated regime. The two solutions provide results that cover the entire mixed convection regime from pure forced to pure free convection limit. Numerical results for different values of surface heat variation are presented. Correlation equations for the local and average. Nusselt numbers, valid for the entire mixed convection regime, are also presented. © 1993 Pergamon Press Ltd.

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0017-9310

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1993 Elsevier, All rights reserved.

Publication Date

01 Jan 1993

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