Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

SLOW VISCOUS FLOW PAST A CAVITY WITH INFINITE DEPTH

  • Kim, D.W (Department of Mathematics, Sunmoon University) ;
  • Kim, S.B (Department of Mathematics, Hannam University) ;
  • Chu, J.H (Department of Mechanical Engineering, Korea Advanced Institute of Science & Technology)
  • Published : 2000.09.01

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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.

Keywords

References

  1. Journal of the Physical Society of Japan v.50 no.4 Two-dimensional slow viscous flow due to the motion flat plate over a plane wall M.-U. Kim;C. H. Son
  2. Journal of Fluid Mechanics v.33 no.3 Two-dimensional bubbles in slow viscous flows S. Richardson
  3. Journal of the Physical Society of Japan v.21 no.9 Slow viscous flow past a cavity M. Takematsu
  4. Navier-Stokes Equation R. Teman