Critical Flow: A Historical Perspective
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 1
HY.1943-7900.0000158/asset/dd71c158-a795-4abf-b26d-b31c770d33a6/assets/(asce)hy.1943-7900.0000158.fp.png)
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References
Bakhmeteff, B. A. (1932). “Discussion of ‘Tests of broad crested weirs.’” Trans. ASCE, 96, 423–434.
Bélanger, J. B. (1828). Essai sur la solution numérique de quelques problèmes relatifs au mouvement permanent des eaux courantes, Carilian-Goeury, Paris (in French).
Bélanger, J. B. (1849). Notes sur le cours d’hydraulique, Mém. Ecole Nat. des Ponts et Chaussées, Paris (in French).
Blalock, M. E., and Sturm, T. W. (1981). “Minimum specific energy in compound open channel.” J. Hydraul. Div., 107(6), 699–717.
Böss, P. (1919). Berechnung der Wasserspiegellage beim Wechsel des Fliesszustandes, Springer, Berlin (in German).
Boussinesq, J. (1877). Essai sur la théorie de eaux courantes, Mémoires présentés par divers Savants á l’Académie des Sciences, Paris, 23(1), 1–608.
Boussinesq, J. (1907). Théorie approchée de l'écoulement de l’eau sur un déversoir en mince paroi et sans contraction latérale, Gauthier-Villars, Paris.
Bresse, J. A. (1860). Cours de mécanique appliquée professé à l’Ecole des Ponts et Chaussées, Mallet-Bachelier, Paris.
Castro-Orgaz, O. (2008). “Critical flow in hydraulic structures.” Ph.D. thesis, University of Cordoba, Spain.
Castro-Orgaz, O., Giraldez, J. V., and Ayuso, J. L. (2008a). “Energy and momentum under critical flow conditions.” J. Hydraul. Res., 46(6), 844–848.
Castro-Orgaz, O., Giraldez, J. V., and Ayuso, J. L. (2008b). “Critical flow over spillway profiles.” J. Water Management, 161(2), 89–95.
Castro-Orgaz, O., Giraldez, J. V., and Ayuso, J. L. (2008c). “Transcritical flow due to channel contraction.” J. Hydrol. Eng., 134(4), 492–496.
Chanson, H. (2004). The hydraulics of open channel flows: An introduction, Butterworth-Heinemann, Oxford.
Chanson, H. (2006). “Minimum specific energy and critical flow conditions in open channels.” J. Irrig. Drain. Eng., 132(5), 498–502.
Chaudhry, M. H., and Bhallamudi, S. M. (1988). “Computation of critical depth in symmetrical compound channels.” J. Hydraul. Res., 26(4), 377–396.
Chow, V. T. (1959). Open channel hydraulics, McGraw-Hill, New York.
Delleur, J. W. (1957). “The boundary layer development in open channels.” J. Engrg. Mech. Div., 83, 1–24.
Dominguez, F. J. (1917). “Estudio experimental del escurrimiento crítico producido por angostamientos.” Thesis, Pontificia Universidad Católica de Chile. Santiago de Chile, Chile (in Spanish).
Escoffier, F. F. (1958). “Transition profiles in nonuniform channels.” Trans. ASCE, 123, 43–65.
Fawer, C. (1937). “Étude de quelques écoulements permanents à filets courbes.” Thesis, Université de Lausanne, La Concorde, Lausanne, Switzerland (in French).
Flamant, A. (1900). Hydraulique, Encyclopédie des Travaux Publics, Librairie Polytechnique, Paris.
Hager, W. H. (1983). “Open channel hydraulics of flows with increasing discharge.” J. Hydraul. Res., 21(3), 177–193.
Hager, W. H. (1985). “Critical flow condition in open channel hydraulics.” Acta Mech., 54(3/4), 157–179.
Hager, W. H. (1999). Wastewater hydraulics: Theory and practice, Springer, Berlin.
Harrison, A. J. M. (1967). “The streamlined-broad crested weir.” Proc., ICE, 38, 658–678.
Henderson, F. M. (1966). Open channel flow, MacMillan, New York.
Hinds, J. (1920). “The hydraulic jump and the critical depth in the design of hydraulic structures.” ENR, 85(22), 1034–1040.
Iwasa, Y. (1958). “Hydraulic significance of transitional behaviours of flows in channel transitions and controls.” Memoir, 20(4), 237–276 Faculty of Engineering, Kyoto University, Japan.
Jaeger, C. (1931). “Analogien zwischen Stützkraftminimum und Energie-minimum in der Hydraulik.” Schweizerische Bauzeitung, 97(16), 197–198 (in German).
Jaeger, C. (1939). “Remarques sur quelques écoulements le long de lits à pente variant graduellement.” Schweizerische Bauzeitung, 114(20), 231–234 (in French).
Jaeger, C. (1943a). “Contribution à l’étude des courants liquides à surface libre.” Bulletin Technique de la Suisse Romande, 69(16), 185–192 (in French).
Jaeger, C. (1943b). “Contribution à l’étude des courants liquides à surface libre.” Bulletin Technique de la Suisse Romande, 69(17), 200–203 (in French).
Jaeger, C. (1943c). “Contribution à l’étude des courants liquides à surface libre.” Revue Générale de l'Hydraulique, 9(33), 111–120; 9(34), 139–153; 9(35), 211 (in French).
Jaeger, C. (1943d). “Contribution à l’étude des courants liquides à surface libre.” Revue Générale de l'Hydraulique, 9(33), 111–120; 9(34), 139–153; 9(35), 211 (in French).
Jaeger, C. (1943e). “Contribution à l’étude des courants liquides à surface libre.” Revue Générale de l'Hydraulique, 9(33), 111–120; 9(34), 139–153; 9(35), 211 (in French).
Jaeger, C. (1947a). “De l’impulsion totale et de ses rapports avec l’énergie totale d’un courant liquide à surface libre.” Revue Générale de l'Hydraulique, 13(37), 12–19 (in French).
Jaeger, C. (1947b). “De l’impulsion totale et de ses rapports avec l’énergie totale d’un courant liquide à surface libre.” Revue Générale de l'Hydraulique, 13(38), 86–87 (in French).
Jaeger, C. (1947c). “De l’impulsion totale et de ses rapports avec l’énergie totale d’un courant liquide à surface libre.” Revue Générale de l'Hydraulique, 13(39), 143–151 (in French).
Jaeger, C. (1947d). “De l’impulsion totale et de ses rapports avec l’énergie totale d’un courant liquide à surface libre.” Revue Générale de l'Hydraulique, 13(40), 191–197 (in French).
Jaeger, C. (1947e). “De l’impulsion totale et de ses rapports avec l’énergie totale d’un courant liquide à surface libre.” Revue Générale de l'Hydraulique, 13(41), 257–261 (in French).
Jaeger, C. (1949). Technische Hydraulik, Birkhäuser, Basel (in German).
Jaeger, C. (1956). Engineering fluid mechanics, Blackie, London.
Keulegan, G. H. (1952). “Determination of critical depth in spatially variable flow.” Proc., 2nd Midwestern Conference on Fluid Mechanics, Ohio State University, 67–80.
Khafagi, A. (1942). Der Venturikanal: Theorie und Anwendung. Mitteilung 1, Versuchsanstalt für Wasserbau, Eidgenössische Technische Hochschule Zürich, Leemann, Zürich, Switzerland (in German).
Khafagi, A., and Hammad, S. Z. (1954a). “Velocity and pressure distributions in curved streamline flow.” Water and Water Engineering, 57(3), 106–115.
Khafagi, A., and Hammad, S. Z. (1954b). “The critical depth, the critical velocity and the Froude number as functions of the non-uniform flow.” Water and Water Engineering, 57(10), 436–445.
Lauffer, H. (1936). “Strömung in Kanälen mit gekrümmter Sohle.” Wasserkraft und Wasserwirtschaft, 31(19), 245–249; 31(20), 260–264 (in German).
Liggett, J. A. (1993). “Critical depth, velocity profile and averaging.” J. Irrig. Drain. Eng., 119(2), 416–422.
Massé, P. (1938a). “Ressaut et ligne d’eau dans les cours à pente variable.” Revue Générale de l'Hydraulique, 4(19), 7–11 (in French).
Massé, P. (1938b). “Ressaut et ligne d’eau dans les cours à pente variable.” Revue Générale de l'Hydraulique, 4(20), 61–64 (in French).
Matthew, G. D. (1963). “On the influence of curvature, surface tension and viscosity in flow over round crested weirs.” Proc. ICE, 25, 511–524; 28, 557–569.
Montes, J. S. (1970). “Flow over round-crested weirs.” L'Energia Elettrica, 47(3), 155–164.
Montes, J. S. (1998). Hydraulics of open channel flow, ASCE, Reston, Va.
Rouse, H. (1932). “The distribution of hydraulic energy in weir flow in relation to spillway design.” MS Thesis, MIT, Boston.
Rouse, H. (1938). Fluid mechanics for hydraulic engineers, McGraw-Hill, New York.
Rouse, H. (1950). Engineering hydraulics, Wiley, New York.
Rubin, M. B. (1997). “Relationship of critical flow in waterfall to minimum energy head.” J. Hydraul. Eng. 123(1), 82–84.
Strelkoff, T. (1969). “One dimensional equations of open channel flow.” J. Hydr. Div., 95(3), 861–876.
Yen, B. C. (1973). “Open-channel flow equations revisited.” J. Engrg. Mech. Div., 99(5), 979–1009.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 1 • January 2010
Pages: 3 - 11
Copyright
© 2010 ASCE.
History
Received: Mar 25, 2008
Accepted: Aug 31, 2009
Published online: Dec 15, 2009
Published in print: Jan 2010
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