Effect of rotation and MFD viscosity on ferrofluid flow with rotating disk

Abstract

The present work deals with the theoretical investigation of the effect of Magnetic Field-Dependent (MFD) viscosity on the revolving axi-symmetric steady laminar flow of viscous incompressible electrically non-conducting ferrofluid with rotating disk by solving the boundary layer equations. The non-linear coupled partial differential equations involved in the problem are solved by asymptotic approximations. The velocity components and pressure profiles are computed numerically and discussed graphically for various values of MFD viscosity parameter (<i style="mso-bidi-font-style:normal">k</i>) along with the variation of Karman’s dimensionless parameter (<i style="mso-bidi-font-style: normal">a</i>). Also, we have calculated the displacement thickness of the boundary layer, angle of rotation and an expression for total volume flowing outward the z-axis is given.