Abstract
An analysis has been carried out to study heat transfer and unsteady thin-layer flow of second-grade fluid through a moving, oscillating, and porous vertical belt. A set of nonlinear partial differential equations have been obtained from the basic equations governing the flow and heat transfer with specific oscillatory boundary conditions. These equations are solved for velocity and temperature by applying analytical techniques: the Adomian decomposition method (ADM) and the optimal homotopy asymptotic method (OHAM). As a special case of the problem, comparison of both techniques shows good agreement. The influence of pertinent parameters on velocity and temperature is shown by graphical illustrations.