The purpose of this book is studying Influence of Heat Transfer on Magnetohydrodynamics (MHD) Oscillatory Flow of Williamson Fluid in a Channel. The model is non-Newtonian fluids. The governing equations are calculated under the assumptions in terms of the Weissenberg number (We1) to obtain explicit forms for velocity field, Four problems have been examined. We study two types of geometries " Poiseuille flow and Couette flow ". The velocity field and temperature field discussed by using the graphs. The momentum equation for the problem is a non-linear differential equation, has been solved by using a perturbation technique. The effect of different physical parameters is discussed in the results of the problem by the graphs and use tables to a comparison of the velocity field.