The effect of melting heat transfer on the two dimensional boundary layer
flow of a micropolar fluid near a stagnation point embedded in a porous medium in the
presence of internal heat generation/absorption is investigated. The governing non-linear
partial differential equations describing the problem are reduced to a system of nonlinear
ordinary differential equations using similarity transformations solved numerically
using the Chebyshev spectral method. Numerical results for velocity, angular velocity and
temperature profiles are shown graphically and discussed for different values of the inverse
Darcy number, the heat generation/absorption parameter, and the melting parameter.
The effects of the pertinent parameters on the local skin-friction coefficient, the wall couple
stress, and the local Nusselt number are tabulated and discussed. The results show that
the inverse Darcy number has the effect of enhancing both velocity and temperature
and suppressing angular velocity. It is also found that the local skin-friction coefficient
decreases, while the local Nusselt number increases as the melting parameter increases.