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Slow viscous flow past a cavity with infinite depth

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Abstract

Two-dimensional slow viscous flow on infinite half-plane past a perpendicular infinite cavity is considered on the basis of the Stokes approximation. Using complex representation of the two-dimensional Stokes flow, the problem is reduced to solving a set of Fredholm integral equations of the second kind. The streamlines and the pressure and vorticity distribution on the wall are numerically determined.

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Authors and Affiliations

  1. Department of Mathematics, Sunmoon University, 336-840, Asan, Chungnam, Korea

    D. W. Kim

  2. Department of Mathematics, Hannam University, 305-791, Taejon, Korea

    S. B. Kim

  3. Department of Mechanical Engineering, Korea Advanced Institute of Science & Technology, 305-701, Taejon, Korea

    J. H. Chu

Authors
  1. D. W. Kim
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  2. S. B. Kim
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  3. J. H. Chu
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Corresponding author

Correspondence to D. W. Kim.

Additional information

supported by Hannam University Research Fund in 2000.

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Kim, D.W., Kim, S.B. & Chu, J.H. Slow viscous flow past a cavity with infinite depth. Korean J. Comput. & Appl. Math. 7, 569–580 (2000). https://doi.org/10.1007/BF03012269

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  • DOI: https://doi.org/10.1007/BF03012269

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