MHD Darcy-Forchheimer flow of Casson nanofluid due to a rotating disk with thermal radiation and Arrhenius activation energy

Abstract

In this research article, three-dimensional Casson nanofluid under influences of Arrhenius stimulation energy and thermal radiation is considered. The flow is induced by a turning disk. Temperature, velocity, and concentration slips at the outward of the turning disk are deliberated. The effect of Brownian movement and thermophoresis is examined due to the nanosized particles in a Casson fluid dispersed over the turning disk. The appropriate transformation methods for reducing a set of Partial differential equations (PDEs) to nonlinear Ordinary differential equations (ODEs) and further solved by the homotopy analysis method (HAM). Numerical simulation using Schmidt number, magnetic, Casson, Brownian movement, and thermophoresis parameters on outspread, temperature, tangential velocities, and nanoparticles are portrayed. Local Nusselt number, Skin friction, and Sherwood number are plotted and investigated. The graphical results show that the tangential velocity of nanofluids decreases because of an addition in Reynolds’ number, while the radial velocity displays the converse patterns. The tangential and radial velocities reduce with the increment magnetic factor. It is also perceived that an augmentation in estimations of radiation parameters enhances the heat transfer rate. Increasing the values of non-dimensional activation energy raises the mass transfer rate.