MHD Flow and Heat Transfer of a Micropolar Fluid Between Two Porous Disks

Muhammad Ashraf; A.R.Wehgal

doi:10.3879/j.issn.1000-0887.2012.01.005

Volume 33 Issue 1

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Muhammad Ashraf, A.R.Wehgal. MHD Flow and Heat Transfer of a Micropolar Fluid Between Two Porous Disks[J]. Applied Mathematics and Mechanics, 2012, 33(1): 48-60. doi: 10.3879/j.issn.1000-0887.2012.01.005

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MHD Flow and Heat Transfer of a Micropolar Fluid Between Two Porous Disks

doi: 10.3879/j.issn.1000-0887.2012.01.005

Muhammad Ashraf¹,
A.R.Wehgal^1,2

¹Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60000, Pakistan;²Department of Mathematics, Stockholm University, Stockholm SE10691, Sweden

Received Date: 2011-03-16
Rev Recd Date: 2011-09-20
Publish Date: 2012-01-15

Abstract

Abstract

A numerical study of axisymmetric steady laminar incompressible flow of an electrically conducting micropolar fluid between two infinite parallel porous disks with constant uniform injection through the surface of the disks was carried out when the fluid was subjected to an external transverse magnetic field. The governing nonlinear equations of motion were transformed in dimensionless form through von Karman’s similarity transformation. An algorithm based on finite difference scheme was used to solve the reduced coupled ordinary differential equations with associated boundary conditions. Effects of Reynolds number, magnetic parameter, micropolar parameter and Prandtl number on the flow velocity and temperature distribution were discussed. Results compare well with the previously published work for special case. Investigations predict that the heat transfer rate at the surfaces of the disks increased with an increase in the values of Reynolds number, magnetic parameter and Prandtl number. The shear stresses decreased by increasing the injection while these stresses increased with increased applied magnetic field. The shear stress factor was lower for micropolar fluids than for Newtonian fluids, which may be beneficial in flow and thermal control of polymeric processing.
- MHD flow,
- porous disks,
- micropolar fluids,
- heat transfer,
- microrotations

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References(33)

References

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