'Brink DepthDischarge' Relationship for SpatiallyVaried Flows in Pipes

References

• Ali , K. H.M. and Sykes , A. 1972 . “Free-Vortex Theory Applied to Free Overfall.” . J. Hydr. Div., ASCE , 98 ( 5 ) : 973 – 979 .
   Google Scholar
• Anastasiadou-Partheniou , L. and Hatzigiannakis , E. G. 1995 . “General End Depth-Discharge Relationship at Free Overfall in Trapezoidal Channel.” . J. Irrig. and Drain. Engineering, ASCE , 121 ( IR2 ) : 143 – 151 .
   Google Scholar
• Anastasiadou-Partheniou , L. , Hatzigiannakis , E. G. and Chatzispyroglou , I. 2002 . “End-Depth Ratio (EDR) for a Circular Free Overfall.” . In Proc. Int. Conference on Protection and Restoration of the Environment VI, Skiathos, Greece 295 – 302 .
   Google Scholar
• Clausnitzer , B. and Hager , W. H. 1997 . “Outflow Characteristics from Circular Pipes.” . J. of Hydr. Engineering, ASCE , 123 ( 10 ) : 914 – 917 .
   Web of Science ®Google Scholar
• Dey , S. 1998 . “End Depth in Circular Channel.” . J. Irrig. and Drain. Engineering, ASCE , 124 ( 8 ) : 856 – 863 .
   Google Scholar
• Hager , H. W. 1983 . “Hydraulics of the Plane Overfall.” . J. Hydr. Engineering, ASCE , 109 ( 12 ) : 1683 – 1697 .
   Web of Science ®Google Scholar
• Henderson , F. M. 1966 . Open Channel Flow. McMillan Book Co., New York, N.Y
   Google Scholar
• Hinds , J. 1926 . “Side Channel Spillway.” . Trans ASCE , 89 : 881 – 927 .
   Google Scholar
• Jaeger , C. 1948 . « Hauteur d'eau à l'extrémité d'un long déversoir. » La Houille Blanche, Paris, France, 3(6) 518 – 523 .
   Google Scholar
• Kouchakzadeh , S. , Kholghi , M. K. and Vatankhah Mohammad-Abadi , A. R. 2002 . “Spatially Varied Flow in Non-Prismatic Channels: II Numerical Solution and Experimental Verification.” . J. of Irrig. and Drain., ICID , 51 ( 1 ) : 51 – 60 .
   Web of Science ®Google Scholar
• Kouchakzadeh , S. and Vatankhah Mohammad- Abadi , A. R. 2002 . “Spatially Varied Flow in Non-Prismatic Channel: Dynamic Equation.” . J. of Irrig. and Drain. ICID , 51 ( 1 ) : 41 – 50 .
   Web of Science ®Google Scholar
• Markland , E. 1965 . “Calculation of Flow at a Free Overfall by Relaxation Method.” . In Proc., Inst. Civ, Engrs., London, U.K. 31(May) 71 – 78 .
   Google Scholar
• Rajaratnam , N. and Muralidhar , D. 1964 . “End Depth for Circular Channel.” . J. Hydr. Div, ASCE , 90 ( 2 ) : 99 – 119 .
   Google Scholar
• Rajaratnam , N. and Muralidhar , D. 1968 . “Characteristics of the Rectangular Free Overfall.” . J. Hydr. Res., IAHR , 6 ( 3 ) : 233 – 258 .
   Google Scholar
• Rouse , H. 1936 . “Discharge Characteristics of the Free Overfall.” . Civ. Engineering, ASCE , 6 ( 4 ) : 257 – 260 .
   Google Scholar
• Smith , C. D. 1962 . “Brink Depth for a Circular Channel.” . J. Hydr. Div., ASCE , 88 ( 6 ) : 125 – 134 .
   Google Scholar
• Sturm , T. W. 2001 . Open Channel Hydraulics New York : McGraw-Hill .
   Google Scholar