Hydrodynamic formation of stable anisotropic structures in Couette flow of dilute suspension

Evgeny Yu. Taran; Yury V. Pridatchenko; Vera A. Gryaznova

doi:10.1016/j.crme.2004.01.008

Hydrodynamic formation of stable anisotropic structures in Couette flow of dilute suspension

Presented by: Évariste Sanchez-Palencia

Evgeny Yu. Taran ¹; Yury V. Pridatchenko ¹; Vera A. Gryaznova ¹

¹ Faculty of Mechanics and Mathematics, National Taras Shevchenko University of Kyiv, 01033 Kyiv, Ukraine

Comptes Rendus. Mécanique, Volume 332 (2004) no. 4, pp. 279-284.

Abstract
Résumé

The problem of rotary motion of rigid axially symmetric elongated particles in the Couette flow of dilute suspension with anisotropic carrier fluid is solved. It is shown that the stable stationary solutions of the dynamical set of ordinary differential equations describing the particles rotary motion are possible in the case of forming the stationary anisotropy in the carrier fluid of the suspension. It allows us to detect the stationary orientation of suspended particles and formation of stable anisotropic liquid-crystalline structures in the considered suspension under the action of hydrodynamic forces. The study of rheological properties of such a structured suspension shows that it behaves as a viscoelastic quasi-Newtonian anisotropic liquid medium.

On résoud le problème sur les mouvement rotatoire de particules rigides axiallement symétriques allongées dans le flux de Couette de la suspension diluée à liquide porteur anisotropique. Il est montré que dans le cas de la création d'une anisotropie stationnaire dans le liquide porteur de la suspension des solutions stables stationnaires du système dynamique des équations différentielles ordinaires qui décrivent un movement rotatiore d'une particule sont possibles. Cela nous a permis de révéler une orientation stationnaire des particules pondérées et la formation dans la suspension considérée des structures anisotropiques mésomorphes sous une action des forces hydrodynamiques. L'examen des propriétés rhéologiques d'une telle suspension structurisée a montré qu'elle se comporte un milieu liquide anisotropique visqueux et élastique quasi-newtonien.

Received: 2003-11-27
Accepted: 2004-01-27
Published online: 2004-02-27

DOI: 10.1016/j.crme.2004.01.008

Keywords: Rheology, Dilute suspension, Anisotropic carrier fluid, Couette flow
Mots-clés : Rhéologie, Suspension diluée, Liquide porteur anisotropique, Flux de Couette

Author's affiliations:

Evgeny Yu. Taran ¹; Yury V. Pridatchenko ¹; Vera A. Gryaznova ¹

¹ Faculty of Mechanics and Mathematics, National Taras Shevchenko University of Kyiv, 01033 Kyiv, Ukraine

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     author = {Evgeny Yu. Taran and Yury V. Pridatchenko and Vera A. Gryaznova},
     title = {Hydrodynamic formation of stable anisotropic structures in {Couette} flow of dilute suspension},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {279--284},
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     volume = {332},
     number = {4},
     year = {2004},
     doi = {10.1016/j.crme.2004.01.008},
     language = {en},
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Evgeny Yu. Taran; Yury V. Pridatchenko; Vera A. Gryaznova. Hydrodynamic formation of stable anisotropic structures in Couette flow of dilute suspension. Comptes Rendus. Mécanique, Volume 332 (2004) no. 4, pp. 279-284. doi : 10.1016/j.crme.2004.01.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.01.008/

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