Magnetic Oldroydian Viscoelastic Fluid - Analysis of Vorticity Transport

The transport of vorticity in Oldroydian viscoelastic fluid in the presence of suspended magnetic particles is considered. Equations governing the transport of vorticity in Oldroydian viscoelastic fluid in the presence of suspended magnetic particles are obtained from the equations of magnetic fluid flow proposed by Wagh and Jawandhia in their 1996 study on the transport of vorticity in magnetic fluid. From these equations, it follows that the transport of solid vorticity is coupled with the transport of fluid vorticity . Further, 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.