Semi-analytical expression for Eyring-Powell hybrid nanofluid withradiative heat flux over a shrinking sheet

Abstract

This paper aims to examine the features of the Eyring-Powell hybrid nano fluid flow over a shrinking sheet. The controlling partial differential equations with auxiliary conditions are reduced into the system of ordinary differential equations (ODE’s) with similarity transformation technique. The approximate analytical solution is obtained by solving the governing equations by modified q-Homotopy analysis method (q-HAM). The semi-analytical expressions for nusselt number and skin friction are also obtained in this paper. To validate the result a comparison between the values of skin friction in the present work with previous published work also performed.  Present results have an excellent agreement with the existed studies. The impact of controlling non-dimensional parameters in velocity, temperature, nusselt number, skin friction is visualized graphically. Finally the approximate analytical solution obtained was tested graphically and the solution is acceptable and stable. The outcomes reveal that the velocity profiles decreases with the increase of Eyring Powell fluid parameter and the temperature profile increases with increase of the dimensionless parameter .