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Yıl 2014, Cilt: 4 Sayı: 1, 67 - 73, 01.06.2014

Öz

Kaynakça

  • G.K Batchelor, (1967), An introduction To fluid dynamics, Universit´e de Campridge.
  • Dias, F., Vanden-Broeck, J.-M, (1989), Open channel flows with submerged obstructions. J. Fluids. Mech., 206, 155–170.
  • L. K. Forbes and L. W. Schwartz, (1982), Free-surface flow over a semicircular obstruction. J. Fluid Mech., 114: 299-314.
  • S.N.hanna, M.N.Abel-Malek et M.B.Abd-el-Malek, (1996), Super-critical free surface over trapezoidal obstacle, Journal of Computation and applied Math.66, 279-291.
  • A.Merzougui, H.Mekias, and F.Guechi, (2007), A waveless two-dimensional flow in a channel against an inclined wall with surface tension effect, J.Phys, A: Math.Theor. 40.14317.
  • Jean-Marc Vanden-Broeck, (1983), The infuence of surface tension on cavitating flow past a curved obstacle, J.Fluid Mech. Vol.133, p. 255-264.

FREE SURFACE FLOW OVER A TRIANGULAR DEPRESSION

Yıl 2014, Cilt: 4 Sayı: 1, 67 - 73, 01.06.2014

Öz

Two-dimensional steady free-surface flows over an obstacle is considered. The fluid is assumed to be inviscid, incompressible and the flow is irrotational. Both gravity and surface tension are included in the dynamic boundary conditions. Far upstream, the flow is assumed to be uniform. Triangular obstruction is located at the channel bottom. In this paper, the fully nonlinear problem is formulated by using a boundary integral equation technique. The resulting integro-differential equations are solved iteratively by using Newton’s method. When surface tension and gravity are included, there are two additional parameters in the problem known as the Weber number and Froude number. Finally, solution diagrams for all flow regimes are presented.

Kaynakça

  • G.K Batchelor, (1967), An introduction To fluid dynamics, Universit´e de Campridge.
  • Dias, F., Vanden-Broeck, J.-M, (1989), Open channel flows with submerged obstructions. J. Fluids. Mech., 206, 155–170.
  • L. K. Forbes and L. W. Schwartz, (1982), Free-surface flow over a semicircular obstruction. J. Fluid Mech., 114: 299-314.
  • S.N.hanna, M.N.Abel-Malek et M.B.Abd-el-Malek, (1996), Super-critical free surface over trapezoidal obstacle, Journal of Computation and applied Math.66, 279-291.
  • A.Merzougui, H.Mekias, and F.Guechi, (2007), A waveless two-dimensional flow in a channel against an inclined wall with surface tension effect, J.Phys, A: Math.Theor. 40.14317.
  • Jean-Marc Vanden-Broeck, (1983), The infuence of surface tension on cavitating flow past a curved obstacle, J.Fluid Mech. Vol.133, p. 255-264.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

A. Merzougui Bu kişi benim

A. Laiadi Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 4 Sayı: 1

Kaynak Göster