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FREE-SURFACE PROFILE OF A JET FLOW IN U-SHAPED CHANNEL WITHOUT GRAVITY EFFECTS

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This paper concern with the two dimensional, steady jet flow problem of inviscid and incompressible fluid in semi infinite channel of the form U. This problem is solved by applying two methods. One is explicitly and analytically utilize the hodograph-transformation. The other is numerically using the series truncation method. The obtained results showed a good agreement between them and the comparison of these surface chapes is illustrated.

Abstract

This paper concern with the two dimensional, steady jet flow problem of inviscid and incompressible fluid in semi infinite channel of the form U. This problem is solved by applying two methods. One is explicitly and analytically utilize the hodograph-transformation. The other is numerically using the series truncation method. The obtained results showed a good agreement between them and the comparison of these surface chapes is illustrated.

참고문헌 (8)

  1. Gasmi A, "The effect of surface tension on the contraction coefficient of a jet", J.Phys. A: Math. Gen., 36, pp.851~862 (2003)[DOI]
  2. Gasmi A, "Two-dimensional cavitating flow past an oblique plate in a channel", Journal of Computational and Applied Mathematics, Part B, 259, pp.828~834 (2014)[DOI]
  3. Gasmi A, "Numerical Study of Two-Dimensional Jet Flow Issuinq from a Funnel", Proceedings in Mathematics and Statistics, pp.87~ (2014)
  4. Bouderah B, "Zero Gravity of Free-Surface Jet Flow", International Mathematical Forum, 2(66), pp.3273~3277 (2007)[DOI]
  5. Rirkhoff G, "Jet, Wakes and Cavities" (1957), Academic Press INC
  6. Batchelor G. K, "An introduction to fluid dynamics" (1967), Cambridge University Press
  7. Asavanat J, "Nonlinear free-surface flow emerging from vessels and flows under sluice gate", J. Austral. Mat. Soc B, 38, pp.63~86 (1996)[DOI]
  8. Vanden-Broeck Jean-Marc, "Flow under a gate", Phys. Fluids, 29, pp.3148~3151 (1986)[DOI]

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