*Department of Mathematics, Dr B.R. Ambedkar University Agra

**Department of Mathematics, Govt Degree College Mant Mathura UP India

Email:-sanjeevibs@yahoo.co.in

A model of biomagentic fluid dynamics, which is suitable for
the description of the MHD Couette flow of a viscous-incompressible
fluid, is discussed in this work. Here we take two infinite horizontal
parallel porous flat plates. The upper plate is subjected to a constant
suction while the lower plate is to a transverse sinusoidal injection along
with the velocity distribution. In this work finite difference method is
used for solving the non-linear partial differential equations and our
results shows that the main flow component (U) decreases with the
increase of Hartmann number (M) and the velocity decreases with the
increases of the injection suction parameter (R). Here we also investigate
the effects of Hartmann number (M) and suction parameter (R)
along with the velocity and temperature distribution.