Title: Computational analysis of magnetohydrodynamic mixed convection flow along vertical cylinder in the presence of aligned magnetic field
Authors: Muhammad Ashraf; Amna Saif
Addresses: Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan ' Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan
Abstract: The magnetohydrodynamic mixed convection boundary layer flow in the presence of aligned magnetic field along a vertical cylinder is considered. Particular attention is paid to investigate how the buoyancy effects of thermal diffusion combine with joule heating affect the two dimensional flow. Effects of the mixed convection parameter λ, magnetic force parameter S, magnetic Prandtl number Pm and Prandtl number Pr on the velocity, temperature distribution, magnetic flux, skin friction, rate of heat transfer and magnetic intensity are studied. Further, the conservation equations are approximated by using finite difference method with a second order central difference scheme for entire regime, and extended series solution at the surface of cylinder. The obtained results show that the skin friction, rate of heat transfer, magnetic intensity, magnetic flux and temperature distribution can be enhanced or reduced by proper choice of parameters involved in the convective fluid flow problem and presented graphically. The increase in magnetic force parameter S enhances the momentum boundary layer while the thermal boundary layer and magnetic flux at the surface of the cylinder is reduced. The obtained results are compared by both methods and found to be in good agreement.
Keywords: mixed convection; aligned magnetic field; finite difference method; FDM; extended series solution; ESS.
International Journal of Computing Science and Mathematics, 2020 Vol.11 No.3, pp.222 - 239
Received: 30 Aug 2017
Accepted: 31 Oct 2017
Published online: 06 Apr 2020 *