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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v35.i5.40
pages 445-458

Boundary Layer Natural Convection in a Fluid Saturated Porous Medium Using Finite Element Method

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

RESUMO

The present paper considers a numerical study of the non-Darcy natural convection over a vertical flat plate in a fluid-saturated porous medium. Forchheimer extension is considered in the flow equations. The nondimensional governing equations are solved by the finite element method. The resulting nonlinear integral equations are linearized and solved using the Newton−Raphson iteration. The finite element implementations are prepared by using the MATLAB® software packages. Numerical 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, which are shown on graphs, have been presented.


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