MHD flow and heat transfer of micropolar fluid between two porous disks |
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Authors: | M Ashraf A R Wehgal |
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Institution: | 1. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan;
2. Department of Mathematics, Stockholm University, Stockholm, Sweden |
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Abstract: | A numerical study is carried out for the axisymmetric steady laminar incompressible flow of an electrically conducting micropolar
fluid between two infinite parallel porous disks with the constant uniform injection through the surface of the disks. The
fluid is subjected to an external transverse magnetic field. The governing nonlinear equations of motion are transformed into
a dimensionless form through von Karman’s similarity transformation. An algorithm based on a finite difference scheme is used
to solve the reduced coupled ordinary differential equations under associated boundary conditions. The effects of the Reynolds
number, the magnetic parameter, the micropolar parameter, and the Prandtl number on the flow velocity and temperature distributions
are discussed. The results agree well with those of the previously published work for special cases. The investigation predicts
that the heat transfer rate at the surfaces of the disks increases with the increases in the Reynolds number, the magnetic
parameter, and the Prandtl number. The shear stresses decrease with the increase in the injection while increase with the
increase in the applied magnetic field. The shear stress factor is lower for micropolar fluids than for Newtonian fluids,
which may be beneficial in the flow and thermal control in the polymeric processing. |
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Keywords: | MHD flow porous disk micropolar fluid heat transfer microrotation |
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