A STUDY ON SOME FLOW BEHAVIOUR OF CONDUCTING FLUIDS

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Date
2012-05
Authors
MOHAMMED, JIBRIL,
HARUNA
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Abstract
ABSTRACT The unsteady flow of a viscous, incompressible and electrically conducting fluid subject to uniform transverse magnetic field under different physical situations was examined. The motion of this fluid near a horizontal flat plate having ramped motion is considered with or without transpiration. Similarly, the unsteady hydromagnetic Couette flow between two parallel plates due to ramped motion of one of the plates was also investigated, when the plates are porous and non-porous. A unified closed form analytical solution have been obtained for velocity field and the skin-friction corresponding to the cases of magnetic field fixed relative to the fluid or the moving boundary. Under the assumption of negligible induced magnetic field, the governing momentum equation has been solved exactly by using Laplace-transform technique. The flow formation near a ramped motion of the plate has also been compared with the flow formation near a plate having constant motion(impulsive motion).It is observed that the velocity of fluid in the case of ramped motion of the plate is always less than that of the flow induced by impulsive motion of the plate. Next, we considered the combined effects of viscous and ohmic dissipation on magnetohydrodynamics (MHD) Couette flow and heat transfer in a parallel plate channel formed by two horizontal porous plates. An analytical solution for time dependent velocity and time independent temperature field are derived by taking into account the effect of viscous and ohmic dissipation. The effect of various flow parameters on the velocity field, temperature distribution, skin friction coefficient and Nusselt number at the walls are discussed with the aid of graphs. Finally the time dependent two phase MHD flow in a parallel plate channel partially filled with conducting fluid and remaining with non-conducting fluid was studied, both the phases were incompressible and the flow is assumed to be time dependent. A closed form expressions for velocity in both phases were obtained using Green’s function approach for cases corresponding to closed and open circuit.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVRSITY, ZARIA, NIGERIA
Keywords
STUDY,, SOME,, FLOW,, BEHAVIOUR,, CONDUCTING,, FLUIDS
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