Title: Magneto micro-polar flow considering weak concentration over a vertical porous surface in the presence of viscous dissipation and Ohmic heating: effects of Hall and ion-slip currents

Authors: Esrat Jahan; M. Ferdows; M.A.A. Hamad; Adrian Postelnicu

Addresses: Faculty of Science and IT, Department of Basic Science (Mathematics), American International University-Bangladesh (AIUB), Banani, Dhaka 1213, Bangladesh ' Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh ' Faculty of Science, Mathematics Department, Assiut University, Assiut 71516, Egypt ' Department of Thermo and Fluid Mechanics, Transylvania University, Bdul Eroilor, 29, Brasov, 2200, Romania

Abstract: The present paper dealing with the effects of Hall and ion-slip currents on the flow of a steady, viscous, incompressible, electrically conducting micro-polar fluid past a vertical plate in a saturated porous medium has been studied for the case of a weak concentration. The effects of viscous dissipation and Ohmic heating are incorporated in the energy equation. Governing partial differential equations are reduced to a system of ordinary differential equations by the usual method of similarity transformation and then solved numerically with the Nachtsheim-Swigert shooting iteration technique based on the Runge-Kutta sixth order iteration scheme. The expressions for the non-dimensional velocity, angular velocity and temperature profiles are shown graphically for different values of the Prandtl number Pr, micro-polar parameter Δ, Grashof number Gr, permeability parameter K₂, magnetic field parameter M, Hall parameter β_e, ion-slip parameter β_i and micro-rotational parameter λ. Further, the effects of the problem parameters on skin friction coefficients due to primary and secondary velocity, local couple stress and the local Nusselt number are constructed graphically. Comparisons with previous published works are performed and the results are found to be in favourable agreement.

Keywords: micro-polar fluids; fluid flow; weak concentration; vertical plates; saturated porous surfaces; viscous dissipation; Ohmic heating; Hall currents; ion-slip currents; skin friction coefficients.

DOI: 10.1504/PCFD.2012.049813

Progress in Computational Fluid Dynamics, An International Journal, 2012 Vol.12 No.6, pp.415 - 426

Published online: 25 Nov 2014 *

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