A STUDY ON SOME FLOW BEHAVIOUR OF CONDUCTING FLUIDS
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