ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN 打印: 2152-5102
ISSN 在线: 2152-5110

# 国际流体力学研究期刊

DOI: 10.1615/InterJFluidMechRes.v34.i2.30
pages 129-144

## Effects of Thermal Radiation on Natural Convection in a Porous Medium

Mohamed F. El-Amin
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, 81258; King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia
Ibrahim Abbas
Mathematics Department, Sohag Faculty of Science, South Valley University, Sohag
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

### ABSTRACT

An analysis is presented for the thermal radiation effect on the non-Darcy natural convection over a vertical flat plate in a fluid saturated porous medium. Forchheimer extension is considered in the flow equations. Rosseland approximation is used to describe the radiative heat flux in the energy equation. The nondimensional governing partial equations are solved by the finite element method. The resulting nonlinear integral equations are linearized and solved by the Newton-Raphson iteration. Results for the details of the stream function, velocity and temperature contours and profiles as well as heat transfer rate in terms of Nusselt number are shown graphically.

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