Velocity Slip Effect on MHD Power-Law Fluid over a Moving Surface with Heat Generation, Viscous Dissipation and Thermal Radiation
Falana Ayodeji
Department of Mechanical Engineering University of Ibadan, Ibadan, Nigeria.
Babatope. O Pele
*
Department of Mechanical Engineering University of Ibadan, Ibadan, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The problem of laminar boundary layer flow of power-law fluid over a continuous moving surface in the presence of a transverse magnetic field with velocity slip was investigated. The governing partial differential equations for the flow and heat transfer were transformed into non-linear ordinary differential equations using the similarity method. These equations were solved numerically by applying the fourth-order Runge-Kutta method with a shooting technique. The solution is found to be dependent on various parameters such as power-law index, magnetic field parameter, suction, and injection parameters. The effect of various flow parameters in the form of dimensionless quantities on the flow field is discussed and graphically presented. It was observed that an increase in the magnetic property results to a decrease flow of fluid velocity and also, an increase in the Prandtl number results to an increase in the rate of heat transfer.
Keywords: Power-law, viscous dissipation, velocity slip, MHD and thermal radiation