One-Dimensional Equations of Open-Channel Flow

by Theodor S. Strelkoff,

Serial Information: Journal of the Hydraulics Division, 1969, Vol. 95, Issue 3, Pg. 861-876

Document Type: Journal Paper


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.

Subject Headings: One-dimensional flow | Open channels | Hydro power | Gradually varied flow | Open channel flow | Unsteady flow | Water flow | Shear walls

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