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Flow in Open Channels with Smooth Curved Boundaries
The proposed method of solution is manifested by application to an example, the potential flow over a smooth step in an open channel. A detailed description of the flow is given by a pair of integro-differential equations in the free-surface and solid-boundary elevations, derived from the solution of a boundary-value problem of the Dirichlet type in an infinite strip in the complex potential plane. The use of numerical approximations to both the derivatives and integrals in the integro-differential equations leads to a system of simultaneous nonlinear algebraic equations, and this is then solved by a special method of successive approximation. Solutions are obtained for the approach Froude number, F = 0.4 and 1.7. The computed output consists of the geometry of the free surface, the flow net within, and velocity components and pressure at any point in the flow.
Flow in Open Channels with Smooth Curved Boundaries
The proposed method of solution is manifested by application to an example, the potential flow over a smooth step in an open channel. A detailed description of the flow is given by a pair of integro-differential equations in the free-surface and solid-boundary elevations, derived from the solution of a boundary-value problem of the Dirichlet type in an infinite strip in the complex potential plane. The use of numerical approximations to both the derivatives and integrals in the integro-differential equations leads to a system of simultaneous nonlinear algebraic equations, and this is then solved by a special method of successive approximation. Solutions are obtained for the approach Froude number, F = 0.4 and 1.7. The computed output consists of the geometry of the free surface, the flow net within, and velocity components and pressure at any point in the flow.
Flow in Open Channels with Smooth Curved Boundaries
Moayeri, Mohammad S. (Autor:in)
Journal of the Hydraulics Division ; 99 ; 2217-2232
01.01.2021
161973-01-01 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
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