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 UP TO 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 non-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, the non-similar equations up to third level of truncation are generated 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 increase, the velocity outline decreases. The velocity profile improves 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 rises. Moreover, to compare the answers with various levels of truncation, the relative error was also estimated. The present work is finally validated by comparison with previously published articles for a reduced Nusselt number and Sherwood number.