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Many-particle hydrodynamic interactions in parallel-wall geometry: Cartesian-representation method

Author

Listed:
  • Bhattacharya, S.
  • Bławzdziewicz, J.
  • Wajnryb, E.

Abstract

This paper describes the results of our theoretical and numerical studies of hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls, under creeping-flow conditions. We propose a novel algorithm for accurate evaluation of the many-particle friction matrix in this system—no such algorithm has been available so far.

Suggested Citation

  • Bhattacharya, S. & Bławzdziewicz, J. & Wajnryb, E., 2005. "Many-particle hydrodynamic interactions in parallel-wall geometry: Cartesian-representation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 294-340.
    • Handle: RePEc:eee:phsmap:v:356:y:2005:i:2:p:294-340
    DOI: 10.1016/j.physa.2005.03.031
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    References listed on IDEAS

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    1. Jones, R.B. & Schmitz, R., 1988. "Mobility matrix for arbitrary spherical particles in solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(3), pages 373-394.
    2. Perkins, G.S. & Jones, R.B., 1991. "Hydrodynamic interaction of a spherical particle with a planar boundary I. Free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(3), pages 575-604.
    3. Felderhof, B.U., 1976. "Force density induced on a sphere in linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 569-576.
    4. Felderhof, B.U., 1976. "Force density induced on a sphere in linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 557-568.
    5. Cichocki, B. & Jones, R.B., 1998. "Image representation of a spherical particle near a hard wall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(3), pages 273-302.
    6. Bławzdziewicz, J. & Vlahovska, P. & Loewenberg, M., 2000. "Rheology of a dilute emulsion of surfactant-covered spherical drops," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(1), pages 50-85.
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