Impact of Cattaneo–Christov heat flux on hydromagnetic flow of non-Newtonian fluids filled with Darcy–Forchheimer porous medium

Abstract

The effect of Cattaneo–Christov heat flux on hydromagnetic flow of non-Newtonian (Maxwell, Jeffrey and Oldroyd-B) fluids filled with Darcy–Forchheimer porous medium with thermal radiation, uneven heat source/sink and variable thermal conductivity is studied numerically. The mathematical problem is developed with the help of momentum, and energy equations using the suitable transformation variables. The numerical results for the transformed highly nonlinear ordinary differential equations are presented for Maxwell, Jeffrey and Oldroyd-B fluid cases. For numerical computations, an effective numerical solver namely bvp4c package is used. Effects of various controlling restrictions on the flow, and thermal fields are examined. Numerical computations for the friction factor and local Nusselt number are executed.