Energy and momentum under critical flow conditions

References

• Blalock , M. E. and Sturm , T. W. 1981 . Minimum specific energy in compound open channel . J. Hydraul. Div. ASCE , 107 : 699 – 717 . HY6
   Google Scholar
• Blalock , M. E. and Sturm , T. W. 1983 . Closure to minimum specific energy in compound open channel . J. Hydraul. Eng. , 109 ( 3 ) : 483 – 487 .
   Google Scholar
• Chow , V. T. 1959 . Open channel hydraulics , New York : McGraw-Hill .
   Google Scholar
• Field , W. G. , Lambert , M. F. and Williams , B. J. 1998 . Energy and momentum in one dimensional open channel flow . J. Hydraul. Res. , 36 ( 1 ) : 29 – 42 .
   Web of Science ®Google Scholar
• Hager , W. H. 1981 . Die Hydraulic von Verteilkanälen. Teil I: Theorie der Verteilkanäle Zurich PhD Dissertation, ETH
   Google Scholar
• Hager , W. H. 1985 . Critical flow condition in open channel hydraulics . Acta Mechanica , 54 ( 3–4 ) : 157 – 179 .
   Web of Science ®Google Scholar
• Hager , W. H. 1999 . Wastewater hydraulics: Theory and practice , Berlin : Springer .
   Google Scholar
• Jaeger , C. 1956 . Engineering fluid mechanics , Edinburgh : Blackie and Son .
   Google Scholar
• Liggett , J. A. 1993 . Critical depth, velocity profile and averaging . J. Irrig. Drain. Eng. ASCE , 119 ( 2 ) : 416 – 422 .
   Web of Science ®Google Scholar
• Massé , P. 1938 . Ressaut et ligne d'eau dans les cours à pente variable . Rev. Gén. Hydraul. , 4 ( 19 ) : 7 – 11 . 4(20), 61–64
   Google Scholar
• Montes , J. S. 1998 . Hydraulics of Open Channel Flow Edited by: ASCE . Reston, Va
   Google Scholar
• Strelkoff , T. 1969 . One dimensional equations of open channel flow . J. Hydraul. Div. ASCE , 95 : 861 – 876 . HY3
   Google Scholar
• Yen , B. C. and Wenzel , H. G. 1970 . Dynamic equation for steady spatially varied flow . J. Hydraul. Div. ASCE , 96 : 801 – 814 . HY3
   Google Scholar
• Yen , B. C. 1973 . Open-channel flow equations revisited . J. Eng. Mech. Div. ASCE , 99 ( 5 ) : 979 – 1009 .
   Google Scholar
• Yen , B. C. 2002 . Open channel resistance . J. Hydraul. Eng. ASCE , 128 ( 1 ) : 20 – 39 .
   Web of Science ®Google Scholar
• Zerihun , Y. T. and Fenton , J. D. 2006 . One-dimensional simulation model for steady transcritical free surface flows at short length transitions . Adv. Water Resour. , 29 ( 11 ) : 1598 – 1607 .
   Web of Science ®Google Scholar