Local Non-Similar Solutions of Magnetohydrodynamic Casson Nanofluid Flow over a Non-Linear Inclined Surface with Thermal Radiation and Heat Generation Effects: A Utilization of upto Third Truncation

Abstract

The current research aims to investigate the influences of thermal radiation, heat generation and chemical reaction on the magnetohydrodynamic (MHD) Casson fluid flow model over a non-linear inclined surface. The Buongiorno model of the thermal efficiency of fluid flows in the existence of Brownian motion and Thermophoresis features served as the foundation of employed non-similar modeling. The present article uses the local-similarity assumption to solve the problem up to the third degree of truncation. The pseudo similarity parameter, stream function, and modified streamwise coordinate all satisfy the continuity equation in the same way, which transforms the energy, momentum and mass equations into a non-similar dimensionless boundary layer (BL) problem. Here generated the non-similar equations upto third level of truncation in order to compare the numerical results produced by the different iterations. The built-in MATLAB function bvp4c is used to discover numerical values to these equations. In terms of energy, velocity, and mass configuration, the effect of particular physical factors are stated; as the inclination parameter and magnetic parameter are increased the velocity outline is decreased. The velocity profile is improved when a rise in the Casson fluid factor is observed. As heat generation and absorption increases, the energy profile rises. The growth of the thermophoresis factor and chemical reaction parameter reduces the concentration profile. Mass diffusion portrays increases as the Brownian motion factor raises. Moreover, to compare the answers with various level of truncation, the relative error was also estimated.