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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.
Antidunes occur in supercritical flow, meaning that the Froude number is greater than 1.0 or the flow velocity exceeds the wave velocity; this is also known as upper flow regime. In antidunes, sediment is deposited on the upstream (stoss) side and eroded from the downstream (lee) side, opposite lower flow regime bedforms.
William Froude (/ ˈ f r uː d /; [1] 28 November 1810 in Devon [2] – 4 May 1879 in Simonstown, Cape Colony) was an English engineer, hydrodynamicist and naval architect.He was the first to formulate reliable laws for the resistance that water offers to ships (such as the hull speed equation) and for predicting their stability.
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 ...
William Froude takes credit for the Froude number which bears his name. It was originally defined by Froude in his 'Law of Comparison' in 1868 in dimensional terms as Speed-Length ratio Speed-Length Ratio = V / ( L )^0.5
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 Froude number is a dimensionless value representing the ratio of Centripetal force to Gravitational force during walking. If the body is viewed as a mass moving through a circular arc centered over the foot, the theoretical maximum Froude number is 1.0, where centripetal and gravitational forces are equal.