Series solution of unsteady Eyring Powell nanofluid flow on a rotating cone

Abstract

In the present paper, unsteady mixed convective flow on a rotating cone in a rotating nano Eyring Powell nanofluid has been studied. It has been revealed that a self-similar solution is only possible when the free stream angular velocity and the angular velocity of the cone are inversely proportional to a linear function of time. The boundary layer equations are reduced to the nonlinear ordinary differential equations using similarity and non-similarity transformations. The reduced coupled nonlinear differential equations for rotating cone are solved by optimal homotopy analysis method. The physical behaviour of pertinent parameters has also been studied through the graphs of dimensionless velocities, temperature, nano particle volume fraction, skin friction, Nusselt number and Sherwood number. Numerical results for important physical quantities are reported.