Magnetic field effect on heat and fluid flow over a wavy surface with a variable heat flux

The effect of magnetic field on forced heat and fluid flow over a wavy surface subjected to a heat flux proportional to (1+x2)n (where n is constant) is investigated. The governing equations transformed into a non-dimensional form by using appropriate dimensionless variables that eliminate the wavy surface effect from the boundary conditions. A finite difference scheme is used to solve the governing equations. The numerical results are presented for different magnitudes of magnetic field parameter, M, power law index, n, surface wavy amplitude, a and Prandtl numbers, Pr. It was found that the magnetic parameter has a significant effect on the velocity flow field and pressure gradient. Increasing the magnetic parameter will increase the temperature and reduce the heat transfer rate