On the Cattaneo–Christov heat flux theory for mixed convection flow due to the rotating disk with slip effects

Abstract

The maximum heat conduction difficulty has been recently termed and scrutinized using Fourier’s law. It is acknowledged that this established diffusion theory may collapse when one is absorbed in the transient problems in a minimal period, extraordinary flux, or for precise low temperatures. In this article, a mechanism of heat flux model with a mixed convective flow field is considered. Here fluid motion under the applied magnetic field and velocity slip condition take place due to the rotating disk. After using the Cattaneo–Christov approach, the heat equation is derived for the heat flux model. The thermal relaxation features are examined in detail. The modeled partial differential framework is reduced to an ordinary differential framework through an appropriate transformation, which is solved numerically by implementing the shooting technique with Runge–Kutta–Fehlberg method. The velocity and fluid temperature are simulated for involved physical parameters. The heat generation/absorption factor has a reverse impact on the temperature field. Furthermore, the fluid temperature decays for the thermo-relaxation factor. The results for skin friction and Nusselt number are also computed.