Fully Developed Mixed Convection Flow Between Inclined Parallel Plates Filled with a Porous Medium |
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Authors: | D Cimpean I Pop D B Ingham J H Merkin |
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Institution: | (1) Department of Mathematics, Technical University of Cluj-Napoca, Ro-400020, 15 Daicoviciu Street, Cluj-Napoca, Romania;(2) Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK |
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Abstract: | A fully developed mixed convection flow between inclined parallel flat plates filled with a porous medium is considered through
which there is a constant flow rate and with heat being supplied to the fluid by the same uniform heat flux on each plate.
The equations governing this flow are made non-dimensional and are seen to depend on two dimensionless parameters, a mixed
convection parameter λ and the Péclet number Pe, as well as the inclination γ of the plates to the horizontal. The velocity and temperature profiles are obtained in terms of λ, Pe and γ when the channel is inclined in an upwards direction as well as for horizontal channels. The limiting cases of small and
large λ and small Pe are considered with boundary-layer structures being seen to develop on the plates for large values of λ. |
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Keywords: | Mixed convection Inclined channel Fully developed flow Porous medium |
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