numerical study of some magneto hydrodynamic flow problems of casson fluid

Abstract

As human blood is a non-Newtonian casson fluid and the magnetic field influences the chief characteristics, in this thesis the boundary layer flow, heat and mass of magneto hydrodynamic casson fluid problems are considered for study. The governing equations of this type of problem are non linear partial differential equations, difficult to solve and sometimes may not posses analytical solutions. So, we made an attempt to get numerical solutions by converting the equations to a system of ordinary differential equations with the help of similarity transformations. Keller Box method, an implicit finite difference method is utilized to obtain numerical solutions. Velocity, temperature and concentration profiles are plotted for various flow parameters like casson parameter, magnetic parameter, radiation parameter, Schmidt number, Prandtl number, suction/blowing parameter etc., and the effects are discussed in detailed in each chapter. In all the problems it is observed that casson and magnetic parameters results in decrease of momentum boundary layer thickness and hence the velocity, where as they enhance the thermal boundary layer and concentration boundary layer thickness results in increase of temperature and concentration. Radiation parameter results in increases of temperature and suction parameter increases the concentration. Compared the present work with the available values in literature and are observed in good agreement. This strengthen the belief that the present numerical method Keller Box that is used in this thesis may be suitable for other types of non Newtonian fluids. newline