Radiative magnetohydrodynamic effects on Casson-Maxwell fluid flow with temperature dependency over a stretching surface

Abstract

We have developed a mathematical model to study the boundary layer flow of a Casson-Maxwell fluid over vertical stretching surfaces. We considered the induced magnetic field, which affected the coupled stress tensor. The high magnetic Prandtl number is analyzed to discuss the effects of the induced magnetic field. We consider the internal heat generation along with the temperature-dependent properties of thermal conductivity. The roles of thermal radiation and viscous dissipation are also examined for both surfaces. The main equations are created using boundary layer assumptions and are first written as partial differential equations, which are then changed into simpler ordinary differential equations using suitable similarity transformations. The resulting system is solved numerically to analyze the behavior of key physical parameters. We thoroughly discuss the influence of magnetic field induction, variations in thermal conductivity, and radiation effects using both tabular and graphical representations. The results highlight that the stretching cylinder developed a thicker thermal and momentum boundary layer compared to the stretching sheet. The magnitude of skin friction is greater for the stretching sheet compared to the stretching cylinder. The stretching sheet also has a higher Nusselt number than the stretching cylinder.