Author : Nada. F. Alshehri

A homotopy perturbation method (HPM) is introduced for obtaining solutions of systems of linear partial differential equations. The non-Newtonian fluid under consideration is obeying the Casson model. Heat and mass transfer for unsteady flow with heat sources and the effect of chemical reaction are studied. The main advantage of this method is the flexibility to give approximate and exact solutions to both linear and nonlinear problems. The results show that the methods are simple and effective. The distributions of the velocity, temperature and concentration functions are discussed and illustrated graphically for different values of the physical parameters of the problem.

Keywords: HPM, Casson model etc.

Article published in International Journal of Current Engineering and Technology, Vol.6, No.5 (Oct-2016)