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International Journal of Fluid Mechanics Research

 

ISSN for PRINT: 1064-2277

Institutional price:

$1811.00

Issues per year:

6

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2003, Volume30

Issue 4

  106 pages  

DOI: 10.1615/InterJFluidMechRes.v30.i4   

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  • Stokes Flow past an Array of Annular Disks
  • A. M. Gomilko
    Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. S. Malyuga
    Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. V. Meleshko
    Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

    M. G. J. Verbruggen
    Eindhoven University of Technology, the Netherlands


    ABSTRACT

    An axisymmetric Stokes flow past three thin annular disks is considered. With use of the theory of hydrodynamic potential and the method of orthogonal polynomials the boundary-value problem is reduced to an infinite system of linear algebraic equations of the second kind. To this end, the expansions of the unknown densities in terms of the Chebyshev polynomials are employed. A dependence of the drag force on geometrical parameter is analyzed. The streamline patterns, describing the kinematics of the flow, are presented.

    DOI: 10.1615/InterJFluidMechRes.v30.i4.20

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