A formula for quickly calculating water depth at vena contraction in parabola form channel
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DOI:10.7606/j.issn.1000-7601.2007.02.28
Key Words: water depth  parabola form channel  computation method
Author NameAffiliation
LU Qin College of Hydraulic and Construction Engineering of Northwest A&F University,Yangling,Shaanxi 712100,China 
WANG Zheng-zhong College of Hydraulic and Construction Engineering of Northwest A&F University,Yangling,Shaanxi 712100,ChinaNational Laboratory of Frzen Soil Engineering Chinese Academy of Sciences,Lanzhou,Gansu 730000,China 
REN Wu-gang College of Hydraulic and Construction Engineering of Northwest A&F University,Yangling,Shaanxi 712100,China 
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Abstract:
      Non-dimensional iterative formulas for computing water depth at vena contraction are derived from the basic equations of water depth at vena contraction in parabola form cross section through proper mathematic-exchange.According to hydraulic characteristics,the astringency of these iteration formulas has been testified,and five approximate formulas for computing water depth at vena contraction have been obtained by using four methods.Through error analysis and a case history computed by using these formulas we can obtain the easiest formula.In the practical area of engineering,the maximum error of the water depth is not greater than 0.48 percent.These formulas are qualified,short-cut and correct,and can be widely used.They overcome the shortage of graphic chart and trial computation methods widely used in the past-time.