Abstract:
Optimization of Magnetohydrodynamics parameters on the velocity profile and
temperature distribution of incompressible fluid flow on a porous channel was evaluated.
The fluid flow was considered to be unsteady, incompressible and flowing in 2-D in
porous channel. The effects of magnetic parameter, Darcy’s number and fluid pressure on
velocity profiles, and the effect of variable viscosity and Eckert number on temperature
distribution in incompressible fluid flow were determined. The flow was considered to be
in a channel running along the x-axis on which the magnetic field exist and finally along the
y-axis on the porous part of the channel. The resulting model equations were solved by
Finite Difference Method (FDM) in MATLAB software. Analysis of results indicated
that increasing Darcy’s number and fluid pressure leads to increase in fluid velocity
profile, while increasing magnetic parameter decreases fluid velocity profile. Also, it was
observed that increase in both Eckert number and fluid viscosity lead to increase in
temperature distribution. Optimization in temperature was achieved by increasing the
magnetic field while viscosity was optimized by increasing the length of the porous part
of the channel. This study will helpful to contribute alternative equations and methodology
to engineering and in factories where getting the MHD parameters optimally is the main
objective, particularly on temperature, velocity and pressure.
