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On the Free-Surface Generated by the Flow over an Obstacle in a Hydraulic Channel

Authors: M. Bouhadef, K. Bouzelha-Hammoum, T. Guendouzen-Dabouz, A. Younsi, T. Zitoun


The aim of this paper is to report the different experimental studies, conducted in the laboratory, dealing with the flow in the presence of an obstacle lying in a rectangular hydraulic channel. Both subcritical and supercritical regimes are considered. Generally, when considering the theoretical problem of the free-surface flow, in a fluid domain of finite depth, due to the presence of an obstacle, we suppose that the water is an inviscid fluid, which means that there is no sheared velocity profile, but constant upstream. In a hydraulic channel, it is impossible to satisfy this condition. Indeed, water is a viscous fluid and its velocity is null at the bottom. The two configurations are presented, i.e. a flow over an obstacle and a towed obstacle in a resting fluid.

Keywords: Experiments, free-surface flow, hydraulic channel, subcritical regime, supercritical flow.

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[1] Lamb H., 1945, Hydrodynamics, 6th ed. Dover, New York
[2] Boutros Y.Z., Abdelmalek M.B. and MassoudS.Z., 1986, Linearized solution of a flow over a non-uniform bottom, J. of Comput and Appli. Math., 16, 105-116
[3] Zitoun T. andBouhadef M.,1993, Solution linéaire analytique de l’écoulement à surface libre au-dessus d’un fond perturbé, 1er Congrès de Mécanique, Rabat
[4] Bouzelha K., Cherifi F., Bouhadef M.,1997, Etude des écoulements à surface libre au-dessus d'un fond non uniforme, 2ème Colloque Maghrébin sur l'Hydraulique, Zéralda, Alger
[5] 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
[6] Bouinoun M., Bouhadef M. and Zitoun T., 2012,Free surface flowoveran uneven bottom:Experiments in ahydraulic channel,International Conference on Metallurgical, Manufacturing and Mechanical Engineering, Dubai, UAE
[7] Gazdar A.S.,1973, Generation of waves of small amplitude by an obstacle placed on the bottom of a running stream,J. Phys. Soc. Japan 34, 2
[8] Euvrard D.,1976, Sur la possibilité d'une résolution numérique directe du problème de Neumann Kelvin, par introduction d'une perturbation singulière, C. R. Acad. Sc. Paris, 262, A
[9] Cherifi F., Bouhadef M., Bouzelha K., Zitoun T. and Benabdellah C., 2006, Numerical resolution of a linear free surface waves problem with an artificial viscosity,CHISA'2006, Praha
[10] Bai K.J., 1977, A localized finite element method for steady two-dimensional free surface flow problems, 1st. Int. Conf. on Numer. Ship Hydrodyn. Gaithersburg, Maryland, 209
[11] Forbes L. K., 1981, On the wave resistance of a submerged semi-elliptical body, J. of Engeneer. Math. 15, 287
[12] Forbes L. K., Schwartz L. W., 1982, Free-surface flow over a semicircular obstruction, J.Fluid Mech., 114, 299, 314
[13] Cahouet J., Lenoir M., 1983, Résolution numérique du problème non linéaire de la résistance de vagues bidimensionnelle, C.R.Acad. Sci. de Paris. 297
[14] King A.C., Bloor M.T.G., 1987, A free surface flow over a step, J. Fluid. Mech. 182, 193-208
[15] 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)
[16] Amara M, Bouhadef M.,1991, A new approach of numerical modelling of 2D surface waves induced by an obstacle, Computer Meth. and Water Ress. C. M. P.
[17] 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
[18] Bukreev V. I., 2002, Supercritical flow over a sill in an open channel, Journal of Applied Mechanics and Technical Physics, Vol. 43, No. 6
[19] Bouzelha-Hammoum K., Bouhadef M., Zitoun T.and 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
[20] Teniou D., 2007, Sur l’écoulement d’un fluide dans un canal avec obstacle au fond, Annales mathématiques Blaise Pascal, Vol. 14, n°2
[21] Bouhadef M., Zitoun T., Guendouzen T., 2004, Contribution to numerical and experimental study of 2D free-surface flow, IASME Transactions Journal, Issue 3, Vol. 1
[22] 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
[23] Ouatiki K., Younsi A., Bouhadef M., Zitoun T., Guendouzen T, 2004, Free surface waves induced by two or many coupled obstacles, CHISA'2004, Praha
[24] Bouhadef M.,1993, The influence of a sheared velocity profile on the wavelength of standing small amplitude surface waves, Computer Methods and Experimental Measurements VI, Vol. 1, Computational Mechanics Publications
[25] Younsi A., Bouhadef M, Guendouzen-Dabouz T.,2007, Contribution to the numerical and experimental study of gravity capillary waves in a hydraulic channel: the influence of a sheared velocity profile, International Conference on Fluid Mechanics and Aerodynamics, Vouliagmeni, Athens
[26] Bougamouza A, Guendouzen-Dabouz T., Bouzelha-Hammoum K., Bouhadef M.andZitoun T., 2010, 2D supercritical free-surface flow: an experimental study, HEFAT 2010, Antalya.