Effect of Lorentz Force and Magnetic Viscosity on Shliomis Model Ferro Flow due to Rotating Disk

Abstract

The present work involves the study of ferrofluid flow over a rotating disk analysed through Shliomis model in the presence of alternating magnetic field applied in the radial direction. Shliomos model is the appropriate model to analyse ferrofluid flows as it provides prominence to the particle’s movement in the fluid. Here the flow alters due to the viscosity dependent on applied magnetic field in the presence of Lorentz force. The governing equations leading to nonlinear partial differential equations are reduced to nonlinear ordinary differential equations using similarity transformation and solved numerically using the shooting method with the error tolerance of 10-6. The results obtained are represented in the form of graphs and the effects of parameters are analysed on the velocity profiles and pressure. The magnetic parameter declines whereas the magnetic field dependent viscosity enhances the velocity of the flow by reducing the pressure, which finds its application in many hardware devices. Also, the comparative study provides a quantitative agreement for the limiting case of the present work.