Heat Transfer and Hydromagnetic Effects on the Unsteady Thin Film Flow of Oldroyd-B Fluid over an Oscillating Moving Vertical Plate

The problem of heat transfer hydro magnetic Oldroyd-B fluid in vertical oscillating belt has been investigated in unsteady state.The obtained model problems are solved for the exact analytic solutions using Optimal Homotopy Asymptotic Method (OHAM).Epressions for the temperature and velocity distribution with the mass flow rate are obtained.Heat transfer rate of the fluid at the belt is also calculated.These expressions are evaluated analytically for different values of the parameters. The effect of relevant parameters like kappa(1) relaxation time parameter, kappa(2) retardation time parameter, gamma gravitational effect, M magnetic parameter, B-r Brinkman and P-r Prandtl numbers on velocity and temperature fields has been studied and presented graphically.