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Gradually varied flow occurs when the change in flow depth per change in flow distance is very small. In this case, hydrostatic relationships developed for uniform flow still apply. Examples of this include the backwater behind an in-stream structure (e.g. dam, sluice gate, weir, etc.), when there is a constriction in the channel, and when ...
The depth of flow is the same at every section of the channel. Uniform flow can be steady or unsteady, depending on whether or not the depth changes with time, (although unsteady uniform flow is rare). Varied flow. The depth of flow changes along the length of the channel. Varied flow technically may be either steady or unsteady.
The Chézy formula describes mean flow velocity in turbulent open channel flow and is used broadly in fields related to fluid mechanics and fluid dynamics. Open channels refer to any open conduit, such as rivers, ditches, canals, or partially full pipes. The Chézy formula is defined for uniform equilibrium and non-uniform, gradually varied flows.
They sought to predict the flow of water in open channels based on analytical methods. [7] In this pursuit, Chézy built model channels on which he ran tests to determine the factors that influence flow in an open channel. [1] [7] The famed Chézy formula continues to be used in open channel analyses today. [1]
The one-dimensional (1-D) Saint-Venant equations were derived by Adhémar Jean Claude Barré de Saint-Venant, and are commonly used to model transient open-channel flow and surface runoff. They can be viewed as a contraction of the two-dimensional (2-D) shallow-water equations, which are also known as the two-dimensional Saint-Venant equations.
Open channel flow describes cases where flowing liquid has a top surface open to the air; the cross-section of the flow is only determined by the shape of the channel on the lower side, and is variable depending on the depth of liquid in the channel. Techniques appropriate for a fixed cross-section of flow in a pipe are not useful in open channels.
Parshall flumes (right) alongside other types of flow meters. The Parshall flume is an open channel flow-metering device that was developed to measure the flow of surface water and irrigation flow.
Chanson authored several books among which: Hydraulic Design of Stepped Cascades, Channels, Weirs and Spillways (Pergamon, 1995), Air Bubble Entrainment in Free-Surface Turbulent Shear Flows (Academic Press, 1997), The Hydraulics of Open Channel Flow: An Introduction (Edward Arnold/Butterworth-Heinemann, 1999 & 2004), The Hydraulics of Stepped ...