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Unsteady, one‐dimensional flow over a plane—The rising hydrograph

Unsteady, one‐dimensional flow over a plane—The rising hydrograph The equations describing overland flow, in three nondimensional forms, are solved for the rising hydrograph by finite‐difference integration of the characteristic equations utilizing a characteristic net. A dry channel was used as an initial condition; the upstream and downstream boundary conditions were zero inflow and critical depth (or no condition for supercritical flow), respectively. A series solution is derived for flow in Zone A, the domain of determinacy of the initial conditions along t = 0. When compared with previous numerical, analytic, and experimental results, the results show that in general there is no unique dimensionless rising hydrograph for overland flow, but that for most hydrologically significant cases the kinematic wave solution gives very accurate results. A single dimensionless parameter was found to be a suitable criterion for choice between the complete equations or the kinematic wave approximation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Water Resources Research Wiley

Unsteady, one‐dimensional flow over a plane—The rising hydrograph

Water Resources Research , Volume 3 (3) – Sep 1, 1967

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References (19)

Publisher
Wiley
Copyright
Copyright © 1967 by the American Geophysical Union.
ISSN
0043-1397
eISSN
1944-7973
DOI
10.1029/WR003i003p00753
Publisher site
See Article on Publisher Site

Abstract

The equations describing overland flow, in three nondimensional forms, are solved for the rising hydrograph by finite‐difference integration of the characteristic equations utilizing a characteristic net. A dry channel was used as an initial condition; the upstream and downstream boundary conditions were zero inflow and critical depth (or no condition for supercritical flow), respectively. A series solution is derived for flow in Zone A, the domain of determinacy of the initial conditions along t = 0. When compared with previous numerical, analytic, and experimental results, the results show that in general there is no unique dimensionless rising hydrograph for overland flow, but that for most hydrologically significant cases the kinematic wave solution gives very accurate results. A single dimensionless parameter was found to be a suitable criterion for choice between the complete equations or the kinematic wave approximation.

Journal

Water Resources ResearchWiley

Published: Sep 1, 1967

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