6533b831fe1ef96bd12984a5
RESEARCH PRODUCT
Explicit equations for uniform flow depth
Michele SciaccaVito Ferrosubject
Mathematical optimization010504 meteorology & atmospheric sciences0208 environmental biotechnologyOpen channel flow unifrom flow water depth discharge02 engineering and technologyMechanics01 natural sciencesAgricultural and Biological Sciences (miscellaneous)Energy–depth relationship in a rectangular channel020801 environmental engineeringOpen-channel flowWater depthSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliResistance coefficientPotential flow0105 earth and related environmental sciencesWater Science and TechnologyCivil and Structural EngineeringMathematicsdescription
Conventional approach in uniform open channel flow is to express the resistance coefficient in the Manning, Darcy-Weisbach or Chezy form. However, for practical cross-sections, including rectangular and trapezoidal ones, the governing equation is implicit in the uniform water depth. For these sections the water depth, corresponding to known values of the flow discharge, slope channel and resistance coefficient, is presently obtained by trial and error procedure. In this paper exact analytical solutions of uniform flow depth for rectangular and trapezoidal section have been obtained in the form of fast converging power series.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-05-01 |