Magnetohydrodynamic Free Convection Flow of a Heat Generating Fluid Past a Semi-Infinite Vertical Porous Plate with Variable Suction
International Journal of Applied Mathematical Research, 2 (3) (2013) 356-371 ©Science Publishing Corporation www.sciencepubco.com/index.php/IJAMR
Magnetohydrodynamic free convection flow of a heat generating fluid past a semi-infinite vertical porous plate with variable suction
Mutua, N.M 1*, Musyoki, I, N.M1, Kinyanjui, M.N2, Kwanza, J.K2
Taita Taveta University College Jomo Kenyatta University of Agriculture and Technology *Corresponding author E-mail: nicholasmuthama@ttuc.ac.ke
2 1
Abstract In this paper, a magnetohydrodynamic convection flow of an electrically conducting heat generating fluid past a semiinfinite vertical porous plate with variable suction is considered. The fluid flow is unsteady and a variable magnetic field is transversely applied to the plate. Evaluation of velocity gradients, temperature gradients and concentration gradients across the plate is done. Observations and discussions of the effects of various parameters on flow variables are done. The non-dimensional parameters observed and discussed are Hall parameter, M; Magnetic number, M 2; Eckert number, Ec; Rotational parameter, Er; Suction parameter, S and Injection parameter, w. The velocity profiles, temperature profiles and concentration profiles are presented graphically for both convectional heating and free convectional cooling of the plate. The skin friction and rate of heat transfer values are obtained and presented in tables. For free convectional heating and cooling of the plate, the Grashof number is taken as constants -5 and 5 respectively. Prandtl number is 0.71 which corresponds to air. The variation of the parameters mentioned above is noted to increase or decrease or had no effect on the skin friction, mass transfer, rate of heat transfer, the velocity profiles, concentration profiles and temperature profiles.
Keywords: Finite difference method, Free convection, MHD, Semi infinite plate, Variable suction order.
1
Introduction
The study of MHD rotating
Magnetohydrodynamic free convection flow of a heat generating fluid past a semi-infinite vertical porous plate with variable suction
Mutua, N.M 1*, Musyoki, I, N.M1, Kinyanjui, M.N2, Kwanza, J.K2
Taita Taveta University College Jomo Kenyatta University of Agriculture and Technology *Corresponding author E-mail: nicholasmuthama@ttuc.ac.ke
2 1
Abstract In this paper, a magnetohydrodynamic convection flow of an electrically conducting heat generating fluid past a semiinfinite vertical porous plate with variable suction is considered. The fluid flow is unsteady and a variable magnetic field is transversely applied to the plate. Evaluation of velocity gradients, temperature gradients and concentration gradients across the plate is done. Observations and discussions of the effects of various parameters on flow variables are done. The non-dimensional parameters observed and discussed are Hall parameter, M; Magnetic number, M 2; Eckert number, Ec; Rotational parameter, Er; Suction parameter, S and Injection parameter, w. The velocity profiles, temperature profiles and concentration profiles are presented graphically for both convectional heating and free convectional cooling of the plate. The skin friction and rate of heat transfer values are obtained and presented in tables. For free convectional heating and cooling of the plate, the Grashof number is taken as constants -5 and 5 respectively. Prandtl number is 0.71 which corresponds to air. The variation of the parameters mentioned above is noted to increase or decrease or had no effect on the skin friction, mass transfer, rate of heat transfer, the velocity profiles, concentration profiles and temperature profiles.
Keywords: Finite difference method, Free convection, MHD, Semi infinite plate, Variable suction order.
1
Introduction
The study of MHD rotating
References: [1] [2] Chartuvedi, N. (1996): MHD flow past an infinite porous plate with Variable Suction. Energy Convers management, 37(5):623-7. Dorch, F . et al. (2007): Schorlapedia 2(4): 2295.