Boundary layer flow over an exponential stretching sheets in the presence of a special form of magnetic field

The boundary layer flow due to a plate stretching with an exponential stretching velocity distribution in the presence of magnetic field has been studied. Upon introducing a special form of magnetic field, the governing steady boundary layer equations for an electrically conducting Newtonian fluid has been first reduced to similarity equation. First, perturbation solutions for the case of large magnetic parameter have been derived. An accurate expression for the approximate skin-friction co-efficient has been derived in terms of magnetic parameter. To obtain the accurate skin –friction coefficient Crocco’s transformation technique is used. Finally, a direct numerical solution of the resulting similarity equation has been obtained using a Runge-Kutta Shooting algorithm with Newton iteration in double precision. The influences of the magnetic field on the velocity and skin-friction co-efficient have been analyzed in this discussion.