Mixed convection heat transfer from a horizontal plate with variable surface heat flux in a porous medium |
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Authors: | C-H Chen |
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Institution: | (1) Department of Mechanical Design Engineering, National Huwai Institute of Technology Huwai, Yunlin, Taiwan 632 Republic of China, TW |
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Abstract: | In this article nonsimilarity solution for mixed convection from a horizontal surface in a saturated porous medium was obtained
for the case of variable surface heat flux. The entire mixed convection regime, ranging from pure forced convection to pure
free convection, is considered by introducing a single nonsimilarity parameter. Heat transfer results are predicted by employing
four different flow models, namely, Darcy's law, the Ergun model, and the Brinkman-Forchheimer-extended Darcy model with constant
and variable porosity. The variable porosity effect is approximated by an exponential function. Effects of transverse thermal
dispersion are taken into consideration in the energy equation, along with variable stagnant thermal conductivities. The formulation
of the present problem shows that the flow and heat transfer characteristics depend on five parameters, that is, the power
in the variation of surface heat flux, the nonsimilarity mixed-convection parameter, the inertia effect parameter, the boundary
effect parameter, and the ratio of thermal conductivity of the fluid phase to that of the solid phase. Numerical results for
the local Nusselt number variations, based on the various flow models, are presented for the entire mixed convection regime.
The impacts␣of different governing parameters on the heat transfer results are thoroughly investigated.
Received on 7 August 1997 |
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