A steady MHD thin film flow of carreau fluid down an inclined plane with viscous and magnetic dissipation under slip boundary

Abstract

This paper presents an investigation of a steady magnetohydrodynamic (MHD) thin-film flow of a Carreau fluid down an inclined plane with viscous and magnetic dissipation under slip boundary condition. The derived non-linear ODEs that govern the flow of both the velocity and temperature profile were solved using perturbation method with MAPLE software. The impact of few parameters like Magnetic field (M), Brinkmann number (Br), Gravitational force (G), and the slip parameter (β), on the velocity and temperature profiles were identified and demonstrated graphically. The result shows that the velocity and temperature reduced significantly when the Magnetic field parameter increases and both increases as the slip parameter β increases. As there is rise in the gravitational force G, the velocity diminishes while the temperature intensifies. There was an increase in velocity and temperature circulation of the moving fluid due to the rise in the slip parameter, signifying enhanced heat transfer by upward flow of the fluid. Increase in Brinkmann has no effect on the velocity of the fluid.