Approximate analytical solution of non-linear boundary value problem in steady state flow of a liquid film: Homotopy perturbation method

In this paper the non-linear boundary value problem in thermal stability of boundary layer flows of a temperature-dependent viscosity liquid film with adiabatic free surface along an inclined heated plate is discussed. The analytical expression of the temperature and velocity can be obtained using Homotopy perturbation method (HPM) for various values of the relevant parameters. We also compared our analytical result with perturbation method and show that the present approach is less computational and are applicable for solving other non-linear boundary value problem.