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

Authors: M. Bougamouza, M. Bouhadef, T. Zitoun

Abstract:

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.

Keywords: Experiments, free-surface flow, hydraulic channel, uneven bottom, laser anemometry, supercritical regime.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1110744

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.