Research Article
May 1969
One-Dimensional Equations of Open-Channel Flow
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 95, Issue 3
Abstract
One-dimensional equations of continuity, momentum, and energy for unsteady, spatially varied flow in a fixed-bed open channel of arbitrary configuration are derived from the point forms of the corresponding hydrodynamic equations by integrating the latter over a deforming region of space comprising a slice of differential thickness across the flow with a top always coincident with the fluctuating water surface. To bring the equations to the form of Saint Venant in fixed and accelerating reference frames, departures from hydrostatic pressure conditions in a cross section due to lateral acceleration, viscous deformation, and turbulent Reynolds stresses are reproduced exactly; the rate of energy dissipation in a cross section is uniquely related to wall shear over the wetted perimeter; the term accounting for lateral discharge depends upon its nature; bulk outflow is considered.
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Published In
Journal of the Hydraulics Division
Volume 95 • Issue 3 • May 1969
Pages: 861 - 876
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: May 1969
Published online: Feb 3, 2021
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Authors
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Theodor S. Strelkoff, AM.ASCE
Assoc. Prof.of Water Science and Civ. Engrg., Univ. of Calif. at Davis, Davis, Calif.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.