Author(s): M. Maradjieva; B. Kazakov
Linked Author(s):
Keywords: Side-channel spillway; Weir; Variational principle; Functional; Linear momentum; Euler-Lagrange equation; Differential equation; Reech-Froude criteri
Abstract: The hydraulic operation of side-channel spillways has been studied. The most relevant hydraulic parameters are investigated by physical modeling and optimization analysis. An effective measurement is proposed on the basis of variational principles and numerical modeling. Two main cases have been considered: a) extremum problem that leads to the minimum of lengthwise area of the channel; b) analysis of the maximum water discharge overflowing above the crest of weir. The last case leads to the optimal design under risk and emergency. Some specific examples for practical engineering needs have been solved and formulas for velocity and water depth have been obtained for overflow by one, two or three sides of the trough. Theoretical results are compared with experiments and some standard engineering methods.
Year: 2003