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If G represents stage for discharge Q, then the relationship between G and Q can possibly be approximated with an equation: Q = C r ( G − a ) β {\displaystyle Q=C_{r}(G-a)^{\beta }} where C r {\displaystyle C_{r}} and β {\displaystyle \beta } are rating curve constants, and a {\displaystyle a} is a constant which represents the gauge ...
A vortex sheet is a term used in fluid mechanics for a surface across which there is a discontinuity in fluid velocity, such as in slippage of one layer of fluid over another. [1] While the tangential components of the flow velocity are discontinuous across the vortex sheet, the normal component of the flow velocity is continuous.
The Hjulström curve shows that sand particles of a size around 0.1 mm require the lowest stream velocity to erode. The curve was expanded by Åke Sundborg in 1956. He significantly improved the level of detail in the cohesive part of the diagram, and added lines for different modes of transportation. [ 3 ]
Stream power, originally derived by R. A. Bagnold in the 1960s, is the amount of energy the water in a river or stream is exerting on the sides and bottom of the river. [1] Stream power is the result of multiplying the density of the water, the acceleration of the water due to gravity, the volume of water flowing through the river, and the ...
Shear velocity also helps in thinking about the rate of shear and dispersion in a flow. Shear velocity scales well to rates of dispersion and bedload sediment transport. A general rule is that the shear velocity is between 5% and 10% of the mean flow velocity. For river base case, the shear velocity can be calculated by Manning's equation.
The model was developed by Ludwig Prandtl in the early 20th century. [1] Prandtl himself had reservations about the model, [ 2 ] describing it as, "only a rough approximation," [ 3 ] but it has been used in numerous fields ever since, including atmospheric science , oceanography and stellar structure . [ 4 ]
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Stream power is the rate of potential energy loss per unit of channel length. [7] This potential energy is lost moving particles along the stream bed. = where is the stream power, is the density of water, is the gravitational acceleration, is the channel slope, and is the discharge of the stream.