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Interior Stokes flows with stick-slip boundary conditions

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  • Palaniappan, D.
  • Daripa, Prabir

Abstract

Two-dimensional Stokes flows generated by line singularities inside a circular cylinder are studied in the presence of stick-slip boundary conditions. For simplicity, line singularities are assumed to be parallel to the cylinder axis, all axes in the same plane. The interior boundary value problem associated with these flows is solved in terms of a stream function. Analytic solutions are obtained for flows induced by a rotlet, a potential-source and Stokeslets with axes radial (normal) or tangential to the cylinder by the Fourier expansion method. These solutions are used to plot streamline topologies of these flows and the flow patterns are studied as the slip parameter and the locations of the singularities are varied. Eddies of various sizes and shapes appear as the slip parameter is varied.

Suggested Citation

  • Palaniappan, D. & Daripa, Prabir, 2001. "Interior Stokes flows with stick-slip boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 297(1), pages 37-63.
    • Handle: RePEc:eee:phsmap:v:297:y:2001:i:1:p:37-63
    DOI: 10.1016/S0378-4371(01)00226-6
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    References listed on IDEAS

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    1. Felderhof, B.U. & Jones, R.B., 1986. "Hydrodynamic scattering theory of flow about a sphere," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 77-98.
    2. 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.
    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 557-568.
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