395
Views
5
CrossRef citations to date
0
Altmetric
Research papers

Spatially-varied open channel flow equations with vertical inertia

&
Pages 667-675 | Received 28 Apr 2011, Accepted 30 Apr 2012, Published online: 26 Sep 2011

References

  • Ackers , P. 1957 . A theoretical consideration of side weirs as storm-water overflows . Proc. ICE , 6 : 250 – 269 .
  • Balmforth , D. J. and Sarginson , E. J. 1983 . The effects of curvature in supercritical side weir flow . J. Hydraulic Res , 21 ( 5 ) : 333 – 343 .
  • Bose , S. K. and Dey , S. 2007 . Curvilinear flow profiles based on Reynolds averaging . J. Hydraulic Eng , 133 ( 9 ) : 1074 – 1079 .
  • Boussinesq , J. 1877 . “ Essai sur la théorie des eaux courantes (Essay on the theory o water flow) ” . In Mémoires présentés par divers savants à l'Académie des Sciences, Paris 23, 1–680 [in French]
  • Castro-Orgaz , O. and Hager , W. H. 2011 . Turbulent near-critical open channel flow: Serre's similarity theory . J. Hydr. Engng , 137 ( 5 ) 497–503
  • Favre , H. 1933 . “ Contribution à l'étude des courants liquides (Contribution to the study of liquid flows) ” . Rascher, Zurich [in French]
  • Fawer , C. 1937 . “ Etude de quelques écoulements permanents à filets courbes (Study of various steady flows with streamline curvature) ” . Thesis, Université de Lausanne. La Concorde, Lausanne, Switzerland [in French]
  • Field , W. G. , Lambert , M. F. and Williams , B. J. 1998 . Energy and momentum in one-dimensional open channel flow . J. Hydraulic Res , 36 ( 1 ) : 29 – 42 .
  • Hager , W. H. 1981 . “ Die Hydraulic von Verteilkanälen 1: Theorie der Verteilkanäle (Hydraulics of distribution channels 1: Theory) ” . PhD Dissertation. ETH Zurich, Zürich [in German]
  • Hager , W. H. 1984 . Discussion to The effects of curvature in supercritical side weir flow . J. Hydraulic Res , 22 ( 4 ) : 291 – 298 .
  • Hager , W. H. and Hutter , K. 1984 . Approximate treatment of plane channel flow . Acta Mech , 51 ( 3–4 ) : 31 – 48 .
  • Hager , W. H. and Hager , K. 1985 . Streamline curvature effects in distribution channels . Proc. IME , 199 ( 3 ) : 165 – 172 .
  • Hager , W. H. , Edder , O. and Rappaz , J. 1988 . Streamline curvature effects in side-channel spillway flow . Acta Mech , 72 ( 1–2 ) : 95 – 110 .
  • Matthew , G. D. 1963 . “ On the influence of curvature, surface tension and viscosity on flow over round-crested weirs ” . In Proc. ICE 25, 511–524; 28, 557–569
  • Matthew , G. D. 1991 . Higher order one-dimensional equations of potential flow in open channels . Proc. ICE , 91 ( 3 ) : 187 – 201 .
  • Montes , J. S. 1998 . Hydraulics of open channel flow ASCE Press, Reston VA
  • Mostkow , M. A. 1957 . Sur le calcul des grilles de prise d'eau (On the computation of bottom outlets) . La Houille Blanche , 12 ( 4 ) : 570 – 580 . [in French]
  • Nasser , M. S. , Venkatamaran , P. and Ramamurthy , A. S. 1980a . Curvature corrections in open channel flow . Can. J. Civ. Eng , 7 ( 3 ) : 421 – 431 .
  • Nasser , M. S. , Venkatamaran , P. and Ramamurthy , A. S. 1980b . Flow in a channel with a slot in the bed . J. Hydr. Res , 18 ( 4 ) : 359 – 367 .
  • Noseda , G. 1956 . Correnti permanenti con portata progressivamente decrescente, defluenti su griglie di fondo (Steady flows with spatially-decreasing discharge deflected by bottom outlets) . L' Energia Elettr , 33 ( 6 ) : 565 – 581 . [in Italian]
  • Serre , F. 1953 . Contribution à l'étude des écoulements permanents et variables dans les canaux (Contribution to the study of steady and unsteady channel flows) . La Houille Blanche , 8 ( 3 ) : 830 – 872 . [in French]
  • Venkatamaran , P. , Nasser , M. S. and Ramamurthy , A. S. 1982 . Dynamic equations for steady spatially-varied open channel flow: A critical review . Adv. Water Resources , 5 ( 2 ) : 66 – 72 .
  • Yen , B. C. and Wenzel , H. G. 1970 . Dynamic equation for steady spatially-varied flow . J. Hydraulics Div , ASCE 96(3), 801–814
  • Yen , B. C. 1971 . “ Spatially varied open-channel flow equations. WRC ” . In Research Report 51. University of Illinois, Champaign IL
  • Yen , B. C. 1973 . Open-channel flow equations revisited . J. Eng. Mech. Div , ASCE 99(5), 979–1009
  • Yen , B. C. 1975 . “ Further study on open-channel flow equations ” . SFB 80/T/49. Universität Karlsruhe, Karlsruhe

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.