This paper analyzes the MHD flow and heat transfer of a pure fluid and a
nanofluid through a porous medium in a vertical channel. The right half of
the channel contains the pure fluid and the left half contains the
nanofluid, which is immiscible with the pure fluid in the right half.
Channel walls are impermeable and at constant temperatures. An external
homogeneous magnetic field perpendicular to the channel walls is applied on
the channel. Darcian approach is used to model the porous medium. Relevant
differential equations are solved using the perturbation method. Velocity
and temperature distributions are determined analytically and represented
graphically, while the values of skin friction and Nusselt number on the
channel walls are given in a table for multiple values of the introduced
physical parameters. The results are used to draw conclusions about the
influence of the said physical parameters on velocity and temperature
distributions and on the values of skin friction and Nusselt number on the
channel walls.