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Vorticity transport in a viscoelastic fluid in the presence of suspended particles through porous media

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, ICDEOL, Himachal Pradesh University, Shimla, India

    P. Kumar

  2. SCD Government College, Ludhiana, Punjab, India

    G. J. Singh

Authors
  1. P. Kumar
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  2. G. J. Singh
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Correspondence to P. Kumar.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 165, No. 2, pp. 341–349, November, 2010.

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Kumar, P., Singh, G.J. Vorticity transport in a viscoelastic fluid in the presence of suspended particles through porous media. Theor Math Phys 165, 1527–1533 (2010). https://doi.org/10.1007/s11232-010-0127-y

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  • DOI: https://doi.org/10.1007/s11232-010-0127-y

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