Thermal and Fluid Effects of Non-Newtonian Water-based Nanofluids on the Free Convection Flow between Two Vertical Planes

A nonlinear analytical technique (Homotopy Perturbation Method) has been developed to assess the effects of several nanofluids characteristics on the free convective heat transfer to the power-law non-Newtonian flow between two infinite parallel vertical flat plates. A numerical method (Runge-Kutta) also has been done in order to show the accuracy of Homotopy Perturbation Method (HPM), then several graphs have been drawn which show the effects of nanoparticle volume fraction, kind of nanofluids, Eckert number and dimensionless non-Newtonian viscosity on the velocity and temperature profiles of problem. Finally, for various values of dimensionless non-Newtonian viscosity, the effects of different value of nanofluid nanoparticle volume fraction on the Heat transfer coefficient and skin friction are presented and discussed.