Stokes Problem of a Convective Flow Past a Vertical Infinite Plate in a Rotating System in Presence of Variable Magnetic Field.
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Abstract
In this paper, Stokes problem of a free convective flow past a vertical infinite plate in a rotating system in presence of variable magnetic field is investigated. The fluid considered is electrically conducting. The equations governing the flow in this case are non-linear, thus they cannot be solved analytically. The finite difference method (FDM) and computer will be employed in solving the non-linear equations. The effects of the various parameters entering into the problem are discussed extensively and are shown graphically. Discussion of results is done by investigating the parameters: m (the Hall parameter), E (rotational parameter) and M2 (The Magnetic parameter). If Gr > 0 (=0.5) then this is plate cooling by free convection currents, while when Gr < 0 (=-0.5), this is plate heating by free convection currents. The effect of a variable magnetic field is to retard the fluid motion by affecting the velocity and temperature.
References
[1] Kinyanjui, M., Kwanza, J.K. and Uppal, S.M. (2001): MHD free convection heat and mass transfer of a heat generating fluid past an impulsively started infinite vertical porous plate with Hall current and radiation absorption, Energy convers. Mgmt. Vol. 42 Pp. 917-931.
[2] Kwanza, J.K. Kinyanjui, M. and Uppal, S.M, (2003): MHD Stokes free convection flow past an infinite vertical porous plate subjected to constant heat flux with Ion-slip current and radiation absorption, Far East J. App Math. 12(2) Pp.105-131.
[3] Naroua, H. Slaouti, A. and Takhar, H.S. (2006): Computational Challenges in Fluid Flow Problems: A MHD Stokes Problem of Convective Flow from a Vertical Infinite Plate in a Rotating Fluid, European Journal of Scientific Research, Vol.13 Pp.101-112.
[4] Emad M. Aboedahab, Elsayed M.E, Elbarbary. (2001): Hall current effect on Magnetohydrodynamic free-convection flow past a semi-infinite vertical plate with mass transfer, International Journal of Engineering Science, Vol.39 Pp.1641-1652.
[5] Chien-Hsin Chen. (2004): Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation, International Journal of Engineering, 42, Pp.669-713.
View more references (5)
[6] Feng-Chen Li, Tomoaki Kunugi, Akimi Serizawa. (2005): MHD effect on flow structures and heat transfer characteristics of liquid metal –gas annular flow in a vertical pipe, International Journal of Heat and Mass Transfer Vol.48 Pp.2571-2581.
[7] Osalusi E. side J. Harris R. (2007): The effects of Ohmic heating and viscous dissipation on unsteady MHD and slip flow over a porous rotating disk with variable properties in the presence of Hall and Ion-slip currents. Int. commun. Heat Mass Transfer. doi;10.1016/j.icheatmasstransfer.2007.05.009.
[8] Plaut, E. (2003): Non-linear dynamics of traveling waves in rotating Rayleigh-Bernad convection; Effects of the boundary conditions and of the topology, Physical Review E, 67,046303.
[9] Ogulu, A. and Prakash, J. (2004): Effect of Slip velocity on oscillatory MHD flow with radiative heat Transfer and variable suction, TR 87 CT.
[10] Naroua H, Sambo A.S, Ram P.C, Takhar H.S and Slaouti A. (2004): A software tool using finite elements for the solution of fluid flow problems, Nigerian Journal of Renewable Energy, 12:1&2, pp.64-68.