Mixed Convection Boundary-Layer Flow Over a Vertical Surface Embedded in a Porous Material Subject to a Convective Boundary Condition |
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Authors: | Y Y Lok J H Merkin I Pop |
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Institution: | 1. Mathematics Division, School of Distance Education, Universiti Sains Malaysia, 11800 USM, Pulau Pinang, Malaysia 2. Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK 3. Department of Mathematics, Babe?-Bolyai University, R-400084, Cluj-Napoca, Romania
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Abstract: | The mixed convection boundary-layer flow on one face of a semi-infinite vertical surface embedded in a fluid-saturated porous medium is considered when the other face is taken to be in contact with a hot or cooled fluid maintaining that surface at a constant temperature $T_\mathrm{{f}}$ . The governing system of partial differential equations is transformed into a system of ordinary differential equations through an appropriate similarity transformation. These equations are solved numerically in terms of a dimensionless mixed convection parameter $\epsilon $ and a surface heat transfer parameter $\gamma $ . The results indicate that dual solutions exist for opposing flow, $\epsilon <0$ , with the dependence of the critical values $\epsilon _\mathrm{{c}}$ on $\gamma $ being determined, whereas for the assisting flow $\epsilon >0$ , the solution is unique. Limiting asymptotic forms for both $\gamma $ small and large and $\epsilon $ large are also discussed. |
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