Natural convection from a spinning cone in Casson fluid embedded in porous medium with injection, temperature dependent viscosity and thermal conductivity

Abstract

In the present study, a numerical analysis on natural convection Casson fluid flow from a spinning cone in porous medium with injection, temperature-dependent viscosity and thermal conductivity is considered. The surface of the cone is heated under linear surface temperature (LST). The boundary layer partial differential equations were converted into a system of ordinary differential equations which were then solved using spectral relaxation method (SRM). In this study, we study the effects of varying fluid parameters on logarithm of the SRM decoupling error. The results obtained in this study were compared with others in the literature and found to be in excellent agreement. The application of the SRM on a spinning cone has not been studied. The boundary layer velocity, temperature and concentration profiles are computed for different values of the physical parameters. In particular, the effect of the Casson parameter, spin parameter, Eckert number, temperature dependent viscosity parameter, thermal conductivity parameter on rotational velocity and temperature profiles was studied. Increasing the Casson and temperature-dependent viscosity parameters both reduce the logarithm of the SRM decoupling error. Increasing the Eckert and spin parameters both increase the logarithm of the SRM decoupling error.