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TMF, 2010, Volume 165, Number 2, Pages 341–349 (Mi tmf6581)  

This article is cited in 1 scientific paper (total in 1 paper)

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

P. Kumara, G. J. Singhb

a Department of Mathematics, ICDEOL, Himachal Pradesh University, Shimla, India
b SCD Government College, Ludhiana, Punjab, India

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.

Keywords: Oldroydian viscoelastic fluid, suspended magnetic particle, vorticity, porous media

DOI: https://doi.org/10.4213/tmf6581

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English version:
Theoretical and Mathematical Physics, 2010, 165:2, 1527–1533

Bibliographic databases:

Document Type: Article
Received: 30.03.2010

Citation: P. Kumar, G. J. Singh, “Vorticity transport in a viscoelastic fluid in the presence of suspended particles through porous media”, TMF, 165:2 (2010), 341–349; Theoret. and Math. Phys., 165:2 (2010), 1527–1533

Citation in format AMSBIB
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\paper Vorticity transport in a~viscoelastic fluid in the~presence of suspended particles through porous media
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\vol 165
\issue 2
\pages 341--349
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\pages 1527--1533
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Kumar P., Mohan H., “Thermal instability of a heterogeneous Oldroydian viscoelastic fluid heated from Below in porous medium”, J. Theor. Appl. Mech., 50:4 (2012), 943–951  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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