Radiation effects on combined convection over a vertical flat plate embedded in a porous medium of variable porosity |
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Authors: | Dulal Pal Hiranmoy Mondal |
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Institution: | (1) Department of Mathematics, Siksha Bhavana, Visva-Bharati University, Santiniketan, 731 235, West Bengal, India;(2) Department of Mathematics, Bengal Institute of Technology and Management, Santiniketan, 731236, West Bengal, India |
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Abstract: | The present paper is concerned with the study of radiation effects on the combined (forced-free) convection flow of an optically
dense viscous incompressible fluid over a vertical surface embedded in a fluid saturated porous medium of variable porosity
with heat generation or absorption. The effects of radiation heat transfer from a porous wall on convection flow are very
important in high temperature processes. The inclusion of radiation effects in the energy equation leads to a highly non-linear
partial differential equations which are transformed to a system of ordinary differential equations using non-similarity transformation.
These equations are then solved numerically using implicit finite-difference method subject to appropriate boundary and matching
conditions. A parametric study of the physical parameters such as the particle diameter-based Reynolds number, the flow based
Reynolds number, the Grashof number, the heat generation or absorption co-efficient and radiation parameter is conducted on
temperature distribution. The effects of radiation and other physical parameters on the local skin friction and on local Nusselt
number are shown graphically. It is interesting to observe that the momentum and thermal boundary layer thickness increases
with the radiation and decrease with increase in the Prandtl number. |
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Keywords: | Convection Non-Darcy Thermal radiation Boundary layer flow Mechanics of fluids |
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