Cattaneo-Christov heat flux effect on Sakiadis magnetohydrodynamic boundary-layer transport phenomena in the Jeffrey fluid

Abstract

This study aims to perform a numerical simulation of the boundary flow with the characteristic Sakiadis flow of the magnetohydrodynamic (MHD) Jeffrey fluid under the Cattaneo-Christov heat flux model over the horizontal plate. The similarity transformation for the local similarity solution was used to reduce the set of governing equations to non-linear ordinary differential equations. The equations were solved by using ?dsolve? command with the numeric option for the boundary value problem in Maple. Simulations have been carried out for different values of the relaxation to retardation times, the Deborah number, the magnetic field parameter, the heat flux relaxation time, the Prandtl number, and the Schmidt parameter. A comparative study of the numerical results from the previously published paper with the present result for the dimensionless velocity gradient over the horizontal plate shows excellent agreement. It has been found that the growth of the Deborah number leads to the dimensionless velocity gradient enhancement, while the increment of the relaxation to retardation times parameter and the magnetic field parameter indicates the opposite trend. The heat transfer rate noticeably decreased with an increment in the Prandtl number and thermal relaxation time at the fluid regime. Also, fluid concentration decreases with larger values of the Schmidt parameter.