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Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.504 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.v20.i4.50
pages 363-379

MAGNETOHYDRODYNAMIC EFFECT ON NATURAL CONVECTION IN A CAVITY FILLED WITH A POROUS MEDIUM SATURATED WITH NANOFLUID

Ahmed M. Rashad
Department of Mathematics, Aswan University, Faculty of Science, Aswan, 81528, Egypt
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
M. A. Mansour
Department of Mathematics, Assuit University, Faculty of Science, Assuit, Egypt
Sameh Elsayed Ahmed
Department of Mathematics, Faculty of Science, Abha, King Khalid University, Saudi Arabia; Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

ABSTRACT

Numerical simulation for heat transfer with steady magnetohydrodynamic natural convection cooling of a localized heat source at the bottom wall of an enclosure filled with a porous medium saturated with nanofluids subjected to changeable thermal boundary conditions at the sidewalls has been studied in the presence of an inclined magnetic field. Finite difference method was employed to solve the dimensionless governing equations of the problem. The effects of governing parameters, namely, Hartmann number, solid volume fraction, heat source length, and the locations of the heat source on the streamlines and isotherm contours, as well as maximum temperature, local Nusselt number, and average Nusselt number along the heat source, were considered. The present results are validated by favorable comparisons with previously published results for particular cases. The results of the problem are presented graphically and discussed.


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