Stability analysis of MHD mixed convection flow over a moving flat plate in ferrofluids with thermal radiation, suction and second-order slip effects: Heat flux case

Abstract

In this study, the magnetohydrodynamic (MHD) mixed convection flow over a moving flat plate with thermal radiation, suction and second-order slip effects when the plate is maintained at a variable heat flux is investigated. By using the similarity transformation, the partial differential equations are transformed into the ordinary differential equations which are then solved numerically using the shooting method. The variations of the numerical solutions for the skin friction coefficient and local Nusselt number, as well as the velocity and temperature profiles are acquired for several values of the governing parameters by considering two types of base fluids (water and kerosene) with three selected ferroparticles (magnetite, cobalt ferrite and manganese-zinc ferrite). For this present study, the parameters of magnetic and mixed convection will be varied. It is found that triple solutions exist for both assisting and opposing flows when the radiation parameter, mass transfer parameter for suction and moving parameter for a surface moving towards the origin are applied. Stability analysis is then performed to determine which solution is stable by implementing the bvp4c function in Matlab software. The results from this analysis demonstrate that the first solution is stable and physically realizable, while the second and third solutions are unstable and not physically realizable.In this study, the magnetohydrodynamic (MHD) mixed convection flow over a moving flat plate with thermal radiation, suction and second-order slip effects when the plate is maintained at a variable heat flux is investigated. By using the similarity transformation, the partial differential equations are transformed into the ordinary differential equations which are then solved numerically using the shooting method. The variations of the numerical solutions for the skin friction coefficient and local Nusselt number, as well as the velocity and temperature profiles are acquired for several values of the governing parameters by considering two types of base fluids (water and kerosene) with three selected ferroparticles (magnetite, cobalt ferrite and manganese-zinc ferrite). For this present study, the parameters of magnetic and mixed convection will be varied. It is found that triple solutions exist for both assisting and opposing flows when the radiation parameter, mass transfer parameter for suction and movi...