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Combined free and forced convection in a porous medium between two vertical walls with viscous dissipation |
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| Authors: | D B Ingham I Pop P Cheng |
| Institution: | (1) Department of Applied Mathematical Studies, The University of Leeds, LS2 9JT Leeds, West Yorkshire, England;(2) Faculty of Mathematics, University of Cluj, 253 Cluj, CP, Romania;(3) Department of Mechanical Engineering, University of Hawaii at Manoa, 96822 Honolulu, HI, USA |
| Abstract: | Viscous dissipation effects in the problem of a fully-developed combined free and forced convection flow between two symmetrically and asymmetrically heated vertical parallel walls filled with a porous medium is analyzed. The equation of motion contains the modified Rayleigh number for a porous medium and the small-order viscous dissipation parameter. Particular attention is given to the solutions near the critical Rayleigh numbers at which infinite flow rates are predicted. Information concerning the multiplicity of solutions at critical Rayleigh numbers is also deduced from perturbation solutions of the governing equation. |
| Keywords: | Flow in packed channel Darcian combined free and forced convection fully-developed flow multiple solutions |
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