Geodesic
Vorticity transport in a~viscoelastic fluid in the~presence of suspended particles through porous media
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 341-349

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We consider the transport of vorticity in an Oldroydian viscoelastic fluid in the presence of suspended magnetic particles through porous media. We obtain the equations governing such a transport of vorticity from the equations of magnetic fluid flow. It follows from these equations that the transport of solid vorticity is coupled to the transport of fluid vorticity in a porous medium. Further, we find that because of a thermokinetic process, fluid vorticity can exist in the absence of solid vorticity in a porous medium, but when fluid vorticity is zero, then solid vorticity is necessarily zero. We also study a two-dimensional case.
Keywords: Oldroydian viscoelastic fluid, suspended magnetic particle, vorticity, porous media. 
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     title = {Vorticity transport in a~viscoelastic fluid in the~presence of suspended particles through porous media},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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P. Kumar; G. J. Singh. Vorticity transport in a~viscoelastic fluid in the~presence of suspended particles through porous media. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 341-349. http://geodesic.mathdoc.fr/item/TMF_2010_165_2_a10/