Calculation Method for Conjugate Water Depth in Open Trapezoidal Channel

Journal of Changjiang River Scientific Research Institute ›› 2012, Vol. 29 ›› Issue (11) : 33-36.

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PDF(995 KB)
Journal of Changjiang River Scientific Research Institute ›› 2012, Vol. 29 ›› Issue (11) : 33-36. DOI: 10.3969/j.issn.1001-5485.2012.11.007
HYDRAULICS

Calculation Method for Conjugate Water Depth in Open Trapezoidal Channel

  • LI Rui1, WANG Zheng-zhong2, ZHANG Kuan-di2, WANG Zhi-gang2
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Abstract

A calculation method for the conjugate water depth in open trapezoidal channel is presented. First of all, an iterative formula for the conjugate depth is given on the basis of  mathematical transformation of the basic equation of conjugate depth and its flow characteristics. Subsequently, by solving unary quadratic equation and cubic equation, an approximate formula for the initial value of conjugate water depth is obtained, based on which an expression for the initial value iteration is established. A direct formula is thus obtained by using the iterative formula. An illustrative calculation indicates that this method is simple and accurate, and the neither table nor  figure is needed to determine the empirical coefficients.             

Key words

conjugate water depth / calculation formula / trapezoidal open channel

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Calculation Method for Conjugate Water Depth in Open Trapezoidal Channel[J]. Journal of Changjiang River Scientific Research Institute. 2012, 29(11): 33-36 https://doi.org/10.3969/j.issn.1001-5485.2012.11.007
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