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

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v34.i2.40
pages 145-158

MHD Effects on Natural Convection in a Micropolar Fluid at a Three-Dimensional Stagnation Point in a Porous Medium

S.M.M. EL-Kabeir
Department of Mathematics, Salman bin Abdulaziz University, College of Science and Humanity Studies, Al-Kharj, 11942, Saudi Arabia; Department of Mathematics, Aswan University, Faculty of Science, 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

ABSTRACT

A boundary layer solution is presented for the natural convection in a micropolar fluid in the vicinity of a three-dimensional axisymmetric stagnation point on heated vertical surfaces embedded in a micropolar fluid-saturated porous medium in the presence of a transverse magnetic field. The governing equations for the velocity, microrotation, and temperature fields are solved numerically. A parametric study is made to investigate the influence of the inverse Darcy number parameter Ak, magnetic parameter Mn, and micropolar parameter Δ on skin friction, couple stress, as well as the Nusselt number. Numerical results are shown in graphical and tabular form.