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DOI: 10.1615/HeatTransRes.2018019697
pages 1773-1792

ANALYSIS OF MHD FLUID FLOW AND HEAT TRANSFER THROUGH ANNULAR SECTOR DUCTS FILLED WITH DARCY-BRINKMAN POROUS MEDIA

Mazhar Iqbal
School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
Farhan Ahmed
National University of Sciences and Technology, Islamabad, Pakistan

ABSTRACT

In this study, we consider the fluid flow and heat transfer analysis of electrically conducting MHD Newtonian fluid through an annular sector duct, which is filled with a Darcy-Brinkman porous medium, under the action of an axially applied constant pressure gradient and uniform transverse magnetic field. The finite volume method (FVM) is used to dis-cretize the governing momentum and energy equations. The behavior of velocity and temperature contours, and similarly velocity and temperature profiles against pertinent parameters like the Hartman number Ha and dimensionless permeability factor K are displayed graphically for different channel configurations and explained in a physical manner. Physical quantities of interest such as bulk mean velocity ωm and friction factor fRe are used to explain the fluid flow behavior, whereas the bulk mean temperature τb and average Nusselt number Nu are used to explain the heat transfer analysis. Their values are also computed numerically and compared with the literature in the limiting case.