Hydromagnetic Forced Flow of Reiner-Rivlin Fluid against a Rotating Disk

Abstract

This study presents the hydromagnetic and cross-viscous effects on the forced flow of a non-Newtonian liquid against a rotating disk. The problem has been solved by using Kármán-Pohlhausen method. It is found that the cross-viscous and magnetic effects depend on two non-dimensional numbers R_c and m respectively. Numerical solutions have been obtained. for the radial shear stress, torque acting on the disk, boundary layer thickness and the dimensionless moment coefficient for various values of R_c and m. The effect of cross-viscosity is to decrease the magnitudes of the radial and tangential components of the velocity. The radial velocity component of the fluid increases while the tangential component decreases as the strength of the magnetic field increases.