Influence of the Cattaneo-Christov Heat Flux on the MHD Casson Nanofluid (Water + Silver) Flow and Heat Transfer Taking Thermal Radiation Effect into Account

This research looks at the unstable squeezing of MHD nanofluid flow and heat transfer between two parallel plates while taking into account the impact of thermal radiation and the Cattaneo-Christov heat flux model rather than the traditional Fourier's equation of heat conduction. The controlling momentum and energy equations are converted into non-linear ordinary differential equations with the necessary boundary conditions via a similarity transformation. Rung-Kutta (RK4) solves the obtained non-linear ordinary differential equations. The effects on the temperature and velocity profiles of various active factors, including the radiation parameter, the heat source parameter, the magnetic parameter, the squeeze number, the volume fraction of nanofluid, and the thermal relaxation parameter, are investigated. Furthermore, the Nusselt number's value is computed and shown in figures. The results show that, in comparison to Fourier's law, there is a smaller temperature distribution in the Cattaneo–Christov heat flux model. Moreover, Nusselt number decreases with increasing heat source parameter and increases with decreasing thermal relaxation parameter.