Abstract
In this paper, we propose a mathematical model to analyze the effect of a non-uniform heat source or sink on chemically reacting magnetohydrodynamic Casson fluid flowing across a slendering sheet. A chemically reacting fluid with multiple slips has various applications in controlling heating and mass transport phenomena such as biological reactants being converted to products, biomedical signal processing and image processing to establish a dynamic area of specialization in research aspects of biomedical engineering. For these reasons multiple slips (diffusion, thermal and momentum slips) are applied in modeling the heat and mass transfer process. The non-linear ordinary differential equations (ODEs) are solved using the Runge-Kutta-Fehlberg integration method. The characteristics of the velocity, temperature and concentration boundary layers are presented for different physical parameters such as space and temperature-dependent heat source or sink parameter, porosity parameter, chemical reaction parameter, velocity slip parameter, and temperature and concentration jump parameters. Moreover, the skin friction coefficient, and the local Nusselt and Sherwood numbers have been estimated for different parameters are discussed from an engineering point of view. We found a significant increase in thickness of the thermal and concentration boundary layer when the strength of the thermophoresis parameter is increased. In contrast, the thermal boundary layer increases with increasing the Brownian motion parameter while the reverse trend holds true for the concentration field.