Features of Casson liquid in non-linear radiative magnetized cylindrical media: a numerical solution

Abstract

The numerical study is carried out to examine the flow field aspects of Casson fluid in magnetized cylindrical media. To be more specific, we considered a Casson fluid flow due to magnetized inclined cylindrical surface along with the thermal radiations, mixed convection, heat generation or absorption, variable thermal conductivity, and viscous dissipation effects. The obtained non-linear flow equations are reduced into ordinary differential equations by use of the suitable transformations. The said boundary value problem is further reduced to the initial value problem and then the shooting method with Runge–Kutta-scheme of fourth-order has been used to obtain the numerical results. Both tabular and line graphs trends are used to conclude the examination of the effects of flow parameters on non-dimensional temperature and velocity distributions. From the outcomes, we noticed Casson fluid temperature reflects inciting nature towards thermal radiation parameter, variable-thermal-conductivity parameter, and Eckert number. The Nusselt number is noticed as a decreasing function of both the Eckert number and variable thermal-conductivity parameter. In the presence of a magnetic field, the Casson fluid velocity and Casson fluid temperature show a direct relation to the curvature parameter.