DESIGN OF RECTANGULAR CHANNEL AT CRITICAL FLOW

M.L. NEBBAR, B. ACHOUR

Abstract


The objective of this work is to propose a new approach to the calculation of the linear dimension of a rectangular channel at critical flow, whose internal walls are characterized by the relative roughness . The calculation takes into account the effect of kinematic viscosity of flowing liquid, through the Reynolds number R. This approach is based on one hand on the universally accepted relations of Darcy-Weisbach (1854) and Colebrook-White (1939). ), and on the application of the critical flow relation on the other hand. Explicit relationships are inferred and the results can be considered as accurate. They apply in the whole range of the relative roughness and for any value of Reynolds number Re> 2300. The theoretical development shows that the equation governing the linear dimension of the channel in critical flow regime is of third order whose resolution is made possible by trigonometric functions.


Keywords


channel flow, relative-roughness, viscosity, regime, critical flow, rectangular, design.

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References


ACHOUR B., BEDJAOUI A., (2006). Discussion of Explicit Solutions for Normal Depth Problem, J. Hydraulic Research, IAHR, Vol. 44, n°. 5, pp. 715-717.

ACHOUR B., BEDJAOUI A., (2010). Nouvelle approche pour le dimensionnement des conduites circulaires sous pression, Courrier du savoir- n° 10, pp.23-29.

ACHOUR B., BEDJAOUI A., (2006). Contribution au calcul de la profondeur normale dans un canal rectangulaire, Lahryss Journal, n°5, pp.139-147.

BAKHMETTEF B.A., (1932). Hydraulics of open channels, McGraw Hill, New York.

BOCK J. (1966). Einfluss der Querschnittsform auf die Widerstandsbeiwerte offener Gerinne, Technischer Bericht 2, Inst. Hydromechanik und Wasserbau, TH Darmstadt, ed. O. Kirshmer, Darmstadt

CARLIER M., (1986). Hydraulique générale et appliquée, Edition Eyrolles, 61, Bd Saint-Germain Paris 5e, France, 570p.

CHOW V.T. (1973). Open Channel Hydraulics, McGraw-Hill International Editions, 680p.

COLEBROOK C.F. (1939). Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws, Journal of the Institution of Civil Engineers, Vol. 11, Issue 4, pp.133-156

DARCY H. (1854). Sur des recherches expérimentales relatives au movement des eaux dans les tuyaux, Comptes rendus des séances de l'Académie des Sciences, Paris, Vol. 38, pp. 1109-1121.

FRENCH R.H. (1985). Open Channel Hydraulics, McGraw-Hill International Editions.

JACCON G. (1986). Manuel d’hydrométrie, Institut Français de recherche scientifique pour Le développement en coopération, Brasilia.

HAGER W.H., SCHLEISS, A.J. (2009). Constructions hydrauliques, Vol. 15, Presse polytechniques et universitaires romandes, CH-1015 Lausanne, 597p.

HENDERSON F.M. (1966). Open channel flow, Mac Millan, Ed., New York.

U.S. Army Corps of Engineers. (1995). Hydraulic Reference Manual, Version 1.0.


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