Thermal aspects of radiation in Casson fluid with nonlinear stretching surface: non-similar solutions

Abstract

A mathematical model is established to peruse the effects of viscous dissipation and thermal radiation on non-Newtonian, incompressible, steady, mixed convective flow next to a nonlinear vertical stretching surface. The Rosseland approximation is used in the energy equation to describe the radiative heat flux. Non-similarity transformation has been used to convert coupled partial differential equations (PDEs) into dimensionless PDEs. For dealing with non-similar problems, the non-similarity method is more effective as compared to similarity transformation. First, this method utilizes transformations to reduce governing equations into dimensionless systems of PDEs, and further, it utilizes different truncation levels to get a detailed set of PDEs. MATLAB built-in solver bvp4c is used to solve obtained dimensionless PDEs. Parameters describing the nature of flow like local Sherwood number, local Nusselt number and local skin friction coefficient are explored in detail after finding the numerical solution. The effects of Casson number, Radiation number, Eckert number, Schmidt number, Prandtl number and Grashof number for heat and mass transfer on concentration, temperature and velocity profiles are specified with the aid of graphs.