Thermophoresis particle deposition and internal heat generation on MHD flow of an Oldroyd-B nanofluid between radiative stretching disks

Abstract

This study investigates the magnetohydrodynamic steady axi-symmetric flow of Oldroyd-B nanofluid between two infinite stretching disks. The effects of internal heat generation and absorption are taken into account. The Brownian motion, thermophoresis diffusion and thermophoresis particle velocity deposition effects are investigated in the presence of radiation effects. The governing nonlinear equations are first reduced to ordinary differential equations through appropriate similarity transformations and then resulting nonlinear system has been solved successfully using homotopy analysis method (HAM). The similarity solution for velocity, temperature and nanoparticle concentration profiles are expressed graphically and examined to understand the behavior of flow between stretching disks. The values of skin friction coefficient, Sherwood and Nusselt numbers are analyzed through tabulated values for both lower and upper disks. It is observed that magnetic field and radiation effects have significant impact on fluid temperature and nanoparticle concentration. Results showed that temperature and nanoparticle concentration are enhanced due to thermophoresis diffusion parameter.