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Hybrid Methods in Engineering

ISSN 印刷: 1099-2391
ISSN オンライン: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v2.i1.30
10 pages

ASYMPTOTIC SOLUTIONS FOR THE FREE CONVECTION BOUNDARY-LAYER FLOW ALONG A VERTICAL SURFACE IN A POROUS MEDIUM WITH NEWTONIAN HEATING

Ioan Pop
Department of Applied Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania
Daniel Lesnic
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
Derek B. Ingham
Centre for CFD, Department of Applied Mathematical Studies, The University of Leeds, Leeds, LS2 9JT, UK; Energy-2050, Faculty of Engineering, University of Sheffield, Sheffield, S10 2TN, UK

要約

In this article the steady, free-convection boundary-layer flow along a vertical surface embedded in a porous medium with Newtonian heating is investigated. The mathematical problem reduces to a pair of coupled partial differential equations for the temperature and the streamfunction, and asymptotic solutions are obtained for small and large values of the coordinate along the plate, x. Furthermore, a simple expression for the temperature on the plate which matches the small and large solutions is derived.


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