Abstract:
An investigation of MHO stokes free convection of
an incompressible electrically conducting fluid between two
vertical parallel semi-infinite plates subjected to a homogenous
magnetic field has been done. The effect of a uniform magnetic
field directed perpendicularly to the plates on the dynamic
behavior of the fluid is studied. One plate is rigid, porous and
fixed along the y axis while the other plate is placed at a
difference h from the y axis and impulsively started in the flow
direction. Further, a study on how Prandtl number and Hartman
Number affect velocity and temperature profiles is carried out.
The velocity profiles and temperature distribution are governed
by a coupled set of continuity, momentum and energy
equations. The generated equations have been solved
numerically by the central fmite difference approximations.
The results obtained are discussed and presented both in
tabular and graphical form. An increase in Hartmann is found
to cause a decrease in velocity profile while an increase in
Prandtlleads to a fall in temperature distribution. These results
are found to merge with the physical situation of the flow.