Homotopy Perturbation Method to Study Flow and Heat Transfer of a Modified Second Grade Fluid over a Porous Plate

In this study flow and heat transfer of a modified second grade fluid over a porous plate is considered. The modified second grade fluid model is a combination of power-law and second grade fluid models. This model is suitable for studies where shear dependent viscosity (shear-thinning and shear-thickening) may happen, and has capability to predict normal stress differences too that are seen in die-swelling and rod-climbing behaviors in non-Newtonian fluids. Equations of motion and heat transfer for this flow are derived in dimensionless form. Homotopy perturbation method (HPM) is employed to solve non-linear coupled differential equations governing the problem. The obtained solutions show a very good accuracy in comparison with numerical results.