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 secondgrade fluid over a porous plate is considered. The modifiedsecond grade fluid model is a combination of power-lawand second grade fluid models. This model is suitable forstudies where shear dependent viscosity (shear-thinning andshear-thickening) may happen, and has capability to predictnormal stress differences too that are seen in die-swellingand rod-climbing behaviors in non-Newtonian fluids.Equations of motion and heat transfer for this flow arederived in dimensionless form. Homotopy perturbationmethod (HPM) is employed to solve non-linear coupleddifferential equations governing the problem. The obtainedsolutions show a very good accuracy in comparison withnumerical results.

Keywords:

Non-Newtonian fluid , Modified second gradefluid , Homotopy perturbation method , Porous plate