Abstract
A analytical study of the steady magnetohydrodynamics (MFD) free convection in an tall cavity filled with a fluid-saturated porous medium and with internal heat generation has been performed. It is considered that the Darcy law model is used. It is assume that a uniform magnetic field normal to the walls of the cavity is externally imposed. The values of the governing parameters are as follows: Hartmann number Ha = 0,10 and 50, Rayleigh number Ra = 103, and the aspect ratio a=0.01. The velocity and temperature profile are determined. These profiles are presented graphically at the center line of the cavity. It is found that the analytical solution is in very good agreement with the numerical solution which is obtained by solving partial differential equations using a finite-difference method.
Authors
C. Revnic
Tiberiu Popoviciu Institute of Numerical, Romanian Academy
T. Grosan
Babes-Bolyai University, Applied Mathematics, Cluj-Napoca, Romania
I. Pop
Babes-Bolyai University, Applied Mathematics, Cluj-Napoca, Romania
Keywords
Analytical solution; Porous media; Natural convection; Heat generation.
Paper coordinates
C. Revnic, T. Grosan and I. Pop, Effect of the magnetic field and heat generation on the free convection flow in a tall cavity filled with a porous medium, Rev. Anal. Numer. Theor. Approx., 37 (2008) no. 2, pp. 207-218. https://doi.org/10.33993/jnaat372-892
About this paper
Journal
Rev. Anal. Numer. Theor. Approx.,
Publisher Name
Romanian Academy
Print ISSN
2501-059X
Online ISSN
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