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The Froude number is based on the speed–length ratio which he defined as: [2] [3] = where u is the local flow velocity (in m/s), g is the local gravity field (in m/s 2), and L is a characteristic length (in m). The Froude number has some analogy with the Mach number.
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
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To help visualize the relationship of the upstream Froude number and the flow depth downstream of the hydraulic jump, it is helpful to plot y 2 /y 1 versus the upstream Froude Number, Fr 1. (Figure 8) The value of y 2 /y 1 is a ratio of depths that represent a dimensionless jump height; for example, if y 2 /y 1 = 2, then the jump doubles the ...
The Froude number is not necessarily a constant, and may depend on the height of the flow in when this is comparable to the depth of overlying fluid. The solution to this problem is found by noting that u f = dl / dt and integrating for an initial length, l 0. In the case of a constant volume Q and Froude number Fr, this leads to
The wavemaking resistance increases near the critical Froude number, but above it drops significantly. Which is why planing is a desired condition for, for instance, small sail-boats. -- Crowsnest ( talk ) 21:31, 9 April 2009 (UTC) [ reply ]
Frédéric Reech (9 September 1805 – 6 May 1884) was a French mathematician, naval engineer and professor who made contributions to thermodynamics and hydraulics. He was among the first to examine the effect of scaling of models of ships, noting the proportionality with the speed of a fluid and the inverse of the square root of its length as a law of comparison in a little-known work in 1831 ...