THEORETICAL AND EXPERIMENTAL ANALYSIS OF SEQUENCE DEPTH RATIO AND ENERGY LOSS IN AN ABRUPTLY ENLARGED TRAPEZOIDAL CHANNEL

A. BENMALEK, M. DEBABECHE

Abstract


Among the hydraulic parameters describing the classical hydraulic jump are the inflow Froude number, the sequence depth ratio, the jump surface profile, and the energy loss.

Literature analysis showed that these parameters varied according to the shape of the studied section and the upstream flow conditions, such as the flow discharge and the initial height at the toe of the jump.

The present study examines, theoretically and experimentally, the effect of enlargement on the sequence depth ratio, the relative energy loss, and the jump surface profile. The study was based on an experimental model in which an inserted abruptly enlarged trapezoidal channel was directed towards a rectangular channel.

Comparison of experimental and theoretical results showed that the physical and economic interest of flow through the considered section is conditioned by the frictional force effect due to the enlargement. These findings can be useful in the design of energy stilling basins and in hydraulic jump performance.


Keywords


Hydraulic jump; Stilling basin; Trapezoidal channel; Abrupt expanding; Rectangular channel; Froude number

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References


ACHOUR B. (2000), Ressaut hydraulique dans une galerie circulaire brusquement élargie. Journal of Hydraulic Research. Vol. 38, No 4, pp. 307-311.

BENMALEK A., DEBABECHE M., Zaid Z. (2022), Experimental study of the hydraulic jump compactness in an open trapezoidal channel. Advanced Materials Research. Vol. 1168, pp. 123-137.

ARBHABHIRAMA A., ABELLA A.U. (1971). Hydraulic jump within gradually expanding channel. Journal of Hydraulics Division, Vol. 97, No 1, pp. 31-42.

BAKHMETEFF B.A., MATZKE A.E. (1936). The hydraulic jump in terms of dynamic similarity, Transactions of the American Society of Civil Engineers, Vol. 101, No 1, pp. 630-647.

BELANGER J.B. (1828). Essai sur la solution numérique de quelques problèmes relatifs au mouvement permanent des eaux courantes, Carilian-Goeury, Paris, France, 42 p.

BRAKENI A., GOURYEV A., CHUMICHEV M.M., MAREEV O.V., VERHOGLYADOV A.S. (2021). Study of a stilling basin with a swirling flow, Larhyss Journal, No 46, pp. 115-130.

EBRAHIMIYAN, S., HAJIKANDI, H., SHAFAI BEJESTAN, M. JAMALI, S., ASADI, E. (2020). Experimental study on the effect of sediment concentration on trapezoidal hydraulic jump, Proceedings of the Institution of Civil Engineers Water Management, Vol. 173, No 6, pp. 317-324.

HAGER W.H. (1985). Hydraulic jump in non-prismatic rectangular channels, Journal of Hydraulic Research, Vol. 23,No 1, pp. 21-35.

HERBRAND K. (1973). The spatial hydraulic jump, Journal of Hydraulic Research, Vol. 11, No 3, pp. 205-218.

KHATTAOUI M., ACHOUR B. (2012). Hydraulic jump in compound bed, Revue Scientifique et Technique, No 20, pp. 44-51. Ressaut hydraulique en lit composé.

KATEB S., DEBABECHE M., BENMALEK A. (2013). Experimental study of the effect of the positive step on a hydraulic jump in a trapezoidal channel, Canadian Journal of Civil Engineering, Vol. 40, N 10, pp. 1014-1018. Étude expérimentale de l’effet de la marche positive sur le ressaut hydraulique évoluant dans un canal trapezoidal.

KOLOSEUS H.J., AHMAD D. (1969). Circular hydraulic jump, Journal of Hydraulics Division, Vol. 95, No 1, pp. 409–422.

MACHA L. (1963). Untersuchungen iiber die Wirksamkeit von Tosbecken, Institut fur Wasserbau und Wasserwirtschaft, TU Berlin, Deutschland, Mittl. No 61, Berlin.

RUBATTA A. (1963). II risalto idraulico in canale divergente, L'Energia Elettrica, Vol. 40,No 10, pp. 783-790.

RUBATTA A. (1964), II risalto idraulico in canale divergente. L'Energia Elettrica. Vol. 41,No 5, pp. 329-334.

RAJARATNAM N., SUBRAMANYA K. (1968). Hydraulic jumps below abrupt symmetrical expansions, Journal of Hydraulics Division, Vol. 94,No 2, pp. 481-504.

SHARMA H.R. (1965). Der geknickte Wechselsprung, Wissenschftl, Zeitschrift TU Dresden, Vol. 14, No 1, pp. 73-79.

UNNY T.E. (1963). Zum Entwurf von Tosbecken Die Entwicklung in Indien und in Amerika, Wasserwirtschaft, Wassertechnik, Vol. 13, No 1, pp. 38–42.


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