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International Journal of Fluid Mechanics Research

 

ISSN for PRINT: 1064-2277

Institutional price:

$1811.00

Issues per year:

6

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Best Paper Award Selection - Editorial Board Site

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2007, Volume34

Issue 2

  93 pages  

DOI: 10.1615/InterJFluidMechRes.v34.i2   

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  • Effects of Thermal Radiation on Natural Convection in a Porous Medium
  • M. F. El-Amin
    Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, 81258, Egypt

    Ibrahim Abbas
    Mathematics Department, Sohag Faculty of Science, South Valley University, Sohag, Egypt

    Rama Subba Reddy Gorla
    Department of Mechanical Engineering, Cleveland State University, 2121 Euclid Ave., SH232, Cleveland, Ohio 44115, 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.

    DOI: 10.1615/InterJFluidMechRes.v34.i2.30

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