CIRCULAR FLOW OF MR FLUIDS BETWEEN TWO CYLINDERS

Bingham model is used to characterize the constitutive behavior of the magnetorheological (MR) fluids subject to an external magnetic field strength. Based on the momentum equation of continuum mechanics, the effect of applied magnetic field on shear flow within the gap between two cylinders is analyzed theoretically. The expression of the rotating speed is derived to provide the theoretical foundations in the analysis of fluid’s circular flow. The results indicate that with the increase of applied magnetic field strength the flow of the fluid changes slow, the yield surface gets close to the inner cylinder.