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Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i9.40
pages 823-836

ENTROPY ANALYSIS OF UNSTEADY MAGNETIC FLOW THROUGH A POROUS PIPE WITH BUOYANCY EFFECTS

Tirivanhu Chinyoka
Center for Research in Computational and Applied Mechanics, University of Cape Town
Oluwole Daniel Makinde
Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa
Adetayo S. Eegunjobi
Department of Mathematics and Statistics, Namibia University of Science and Technology, Windhoek, Namibia

ABSTRACT

The paper focuses on first and second law analyses for flow and heat transfer inside a uniformly porous vertical pipe. The pipe flow is subjected to a constant suction at the wall and is acted upon by a combination of buoyancy forces, a transverse magnetic field, and constant pressure gradient. The pipe walls are kept isothermal and the flow of the conducting fluid is assumed to be unsteady with variable viscosity. The nonlinear governing equations in cylindrical coordinates are obtained under axisymmetric assumptions and solved numerically using semi-implicit finite difference techniques to obtain expressions for the velocity and temperature profiles. The entropy generation number, irreversibility distribution ratio, and Bejan number are presented graphically and discussed quantitatively for various values of the embedded parameters.


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