Contribution to Experiments of a Free Surface Supercritical Flow over an Uneven Bottom

The aim of this study is to examine, through experimentation in the laboratory, the supercritical flow in the presence of an obstacle in a rectangular channel. The supercritical regime in the whole hydraulic channel is achieved by adding a convergent. We will observe the influence of the obstacle shape and dimension on the characteristics of the supercritical flow, mainly the free-surface elevation and the velocity profile. The velocity measurements have been conducted with the one dimension laser anemometry technique.

Authors:

• M. Bougamouza
• M. Bouhadef
• T. Zitoun

Keywords:

• Experiments
• free-surface flow
• hydraulic channel
• uneven bottom
• laser anemometry
• supercritical regime.

References:

[1] Lamb H., 1945, Hydrodynamics, 6th ed. Dover, New York.
[2] Bukreev V. I., 2002, Supercritical flow over a sill in an open channel,
Journal of Applied Mechanics and Technical Physics, Vol. 43, No. 6, pp.
830, 835.
[3] Ghaleb A.F., Hefni A.Z., 1987, Wave free, two-dimensional gravity
flow of an inviscid fluid over a bump. J. Mec. Theor. Appl., 6, 4.
[4] King A.C., Bloor M.T.G., 1987, A free surface flow over a step. J. Fluid.
Mech. 182, 193-208.
[5] Bouhadef M., 1988, Contribution à l'étude des ondes de surface dans un
canal hydraulique. Application à l'écoulement au-dessus d'un obstacle
immergé. Thèse de Doctorat-ès-Sciences, U.E.R. C. E. A. T., Poitiers
(France).
[6] Boutros Y.Z., Abdelmalek M.B. and Massoud S.Z.,1986, Linearized
solution of a flow over a non uniform bottom , J. of Comput and Appli.
Math., 16, 105-116.
[7] Bouzelha-Hammoum K, Bouhadef M, Zitoun T, 2006, Numerical study
of 2D free-surface waveless flow over a bump, WSEAS Transactions on
Fluid Mechanics, Issue 6, Vol. 1, 732-737.
[8] Liapidevskii V. Y. and Xu Z., 2006, Breaking of waves of limiting
amplitude over an obstacle, Journal of Applied Mechanics and Technical
Physics, Vol. 47, No. 3, pp. 307–313.
[9] Bouinoun M., Bouhadef M., Zitoun T., 2012, Free surface flow over an
uneven bottom: Experiments in a hydraulic channel, International
Conference on Metallurgical, Manufacturing and Mechanical
Engineering, Dubai, UAE.
[10] Lustri C.- J., Mccue S.-W. and Binder B.-J., 2012, Free surface flow past
topography: beyond-all-orders approach. European Journal of Applied
Mathematics, Vol. 23, Issue 04, 441-467.
[11] Bouzelha-Hammoum K, Bouhadef M, Zitoun T & Guendouzen T, 2008,
Contribution to the study of a free-surface supercritical flow above an
obstacle: theory and laboratory work, 6th IASME/WSEAS International
Conference on Fluid Mechanics and Aerodynamics.
[12] Teniou D., 2007, Sur l’écoulement d’un fluide dans un canal avec
obstacle au fond, Annales mathématiques Blaise Pascal, Volume 14,
n°2, 255-265.
[13] Forbes L. K., Schwartz L. W., 1982, Free-surface flow over a
semicircular obstruction. J.Fluid Mech., 114, 299, 314.
[14] Cahouet J., Lenoir M.. 1983, Résolution numérique du problème non
linéaire de la résistance de vagues bidimensionnelle. C.R.Acad. Sci. de
Paris. 297.
[15] Bouinoun M., Bouhadef M., 2015, Experiments of a free-surface flow in
a hydraulic channel over an uneven bottom, International Journal of
Civil, Environmental, Structural, Construction and Architectural
Engineering, Vol. 7, n°9, 694-698.
[16] Bougamouza A., Guendouzen-Dabouz T., Bouzelha-Hammoum K.,
Bouhadef M. & Zitoun T., 2010, 2D supercritical free-surface flow: an
experimental study, HEFAT 2010, Antalya.