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Radiative Effect on Natural Convection Flows in Porous Media
Authors:Mohammadein  A A  Mansour  M A  Abd El Gaied  Sahar M  Gorla  Rama Subba Reddy
Institution:(1) Mathematics Department, Faculty of Science, South Valley University, ASWAN, EGYPT;(2) Mathematics Department, Faculty of Science, Assuit University, Assuit, Egypt;(3) Mechanical Engineering Department, Cleveland State University, Cleveland, Ohio, 44115, U.S.A.
Abstract:A regular two-parameter perturbation analysis based upon the boundary layer approximation is presented here to study the radiative effects of both first- and second-order resistances due to a solid matrix on the natural convection flows in porous media. Four different flows have been studied, those adjacent to an isothermal surface, a uniform heat flux surface, a plane plume and the flow generated from a horizontal line energy source on a vertical adiabatic surface. The first-order perturbation quantities are presented for all these flows. Numerical results for the four conditions with various radiation parameters are tabulated.
Keywords:radiation  natural convection  porous medium  heat transfer
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