Analysis of Vorticity Transport in Magnetic Couple-Stress Fluid

Results of investigations on the transport of vorticity in couple-stress fluid in the presence of suspended magnetic particles is presented here. Equations governing the transport of vorticity in couple-stress fluid in the presence of suspended magnetic particles are obtained from the equations of magnetic fluid flow proposed by Wagh and Jawandhia [1] in their study on the transport of vorticity in magnetic fluid. It follows from the analysis of these equations that the transport of solid vorticity is coupled with the transport of fluid vorticity. Also it is found that due to thermo-kinetic process, fluid vorticity may exist in the absence of solid vorticity, but when fluid vorticity is zero, then solid vorticity is necessarily zero. A two-dimensional case is also studied and found that the fluid vorticity is indirectly influenced by the temperature and the magnetic field gradient.