Cattaneo-Christov heat flux theory on transverse MHD Oldroyd-B liquid over nonlinear stretched flow

A hydromagnetic transverse flow of an Oldroyd-B-type liquid with a heat flux of the Cattaneo-Christov model with variable thickness has been analyzed. Consider additional impacts of thermal conductivity as well as heat generation. Governing equations were transmitted into a set of nonlinear ordinary differential equations using similarity conversion, and then, numerical solution was evaluated using the procedure Runge-Kutta-Fehlberg. The physical response related to velocity and temperature is investigated computationally. The outcomes also show that the momentum boundary-layer thickness increases the values of magnetic field strength, but the reverse trend is observed for the thermal boundary layer. Impacts of retardation and relaxation time effects are quite the opposite of the temperature field. The obtained computations are useful in transport phenomena which are involving hydromagnetic rheological fluids.

Automated summary

This study analyzed the hydromagnetic transverse flow of an Oldroyd-B-type liquid with variable thickness using the Cattaneo-Christov model, considering additional impacts of thermal conductivity and heat generation, and numerical solutions were obtained using the Runge-Kutta-Fehlberg method. The physical response related to velocity and temperature was investigated, showing that the momentum boundary-layer thickness affects the magnetic field strength and thermal boundary layer in opposite ways, while retardation and relaxation time effects have opposite impacts on the temperature field. The results are valuable for understanding transport phenomena involving hydromagnetic rheological fluids.