Abstract
Present analysis is made for the laminar flow of Oldroyd-B fluid induced by a deforming sheet in the existence of transverse magnetic field. Flow model is constructed in the presence of slip boundary condition. The governing problem even after utilizing boundary layer approximations comprises of non-linear differential equation with the non-linear boundary condition. Such boundary condition for the no slip case is linear. Highly accurate analytic solutions for velocity distribution are derived by powerful homotopy analysis approach. Permissible values of the convergence control parameter are obtained by the so-called h-curves. The behavior of parameters on the solutions is shown graphically. In the light of numerical results, we predict that slip effect gives opposition to the momentum transport phenomenon. Moreover, the behaviors of relaxation and retardation time are qualitatively opposite. A comparative study of slip and no-slip cases is also discussed.