Implicit Homotopy Perturbation Method for MHD Non-Newtonian Nanofluid Flow with Cattaneo-Christov Heat Flux Due to Parallel Rotating Disks

Abstract

This article deals with the influence of Cattaneo-Christov heat flux on MHD flow of biviscosity nanofluid between two rotating disks through a porous media. Von Karman transformations are used to transform system of partial differential equations to non-linear ordinary differential equations. This system are solved by using homotopy perturbation method. Numerical results for the behaviors of the radial, axial and tangential velocities, temperature and nanoparticles with the physical parameters of the problem are obtained. These results are depicted graphically and discussed in details. The obtained results show that the tangential velocity increases with the increase of both the stretching and rotation parameters. Moreover, it is found that the stretching and thermal relaxation parameters increase the temperature, while they increase or decrease the nanoparticles concentration. Comparison between the obtained results and those obtained by other researchers is made during this study.