Dimensionless number; ratio of a fluid's flow inertia to the external field
In continuum mechanics, the Froude number (Fr, after William Froude, /ˈfruːd/[1]) is a dimensionless number defined as the ratio of the flow inertia to the external field (the latter in many applications simply due to gravity). The Froude number is based on the speed–length ratio which he defined as:[2][3]
where u is the local flow velocity, g is the local external field, and L is a characteristic length. The Froude number has some analogy with the Mach number. In theoretical fluid dynamics the Froude number is not frequently considered since usually the equations are considered in the high Froude limit of negligible external field, leading to homogeneous equations that preserve the mathematical aspects. For example, homogeneous Euler equations are conservation equations.
However, in naval architecture the Froude number is a significant figure used to determine the resistance of a partially submerged object moving through water.
^Merriam Webster Online (for brother James Anthony Froude) [1]
In continuum mechanics, the Froudenumber (Fr, after William Froude, /ˈfruːd/) is a dimensionless number defined as the ratio of the flow inertia to the...
Antiroll tanks Blade element theory Froude's law of similitude FroudenumberFroude efficiency Froude's experiments Froude–Krylov force Propeller theory Track...
dimensionless numbers as well, such as the Mach number used in compressible flows, or the Froudenumber that governs open-channel flows. Some flows involve...
velocity, and a Froudenumber greater than 1) must suddenly jump to a greater, subcritical depth (high depth, low velocity, and a Froudenumber less than 1)...
the local Weber number and F r {\displaystyle Fr} is the local Froudenumber. For kitchen sink scale hydraulic jumps, the Froudenumber remains high, therefore...
Froude (/ˈfruːd/, FROOD) may refer to: Christine Froude (born 1947), Archdeacon of Malmesbury and Acting Archdeacon of Bristol Derek Froude (1959– ),...
by Thomas Carlyle, Froude's historical writings were often fiercely polemical, earning him a number of outspoken opponents. Froude continued to be controversial...
also be expressed by using a combination of the Weber number, Froudenumber and Reynolds number, Mo=We3Fr2Re4.{\displaystyle \mathrm {Mo} ={\frac {\mathrm...
modern naval architecture, where considerations of speed/length ratio or Froudenumber are considered more helpful. As a ship moves in the water, it creates...
transfer) Dimensionless quantity Galilei number Grashof number Reynolds numberFroudenumber Eötvös number Sherwood number Wypych, George (2014). Handbook of...
is a mathematical process originally designed by William Froude father of Robert Edmund Froude (1878), David W. Taylor (1893) and Stefan Drzewiecki to...
{\displaystyle {\frac {\mu }{\hat {\mu }}}.} Bond number Reynolds number Capillary pressure Froudenumber Dynamics of viscous entrapped saturated zones in...
range of values. However, at higher speeds (specifically, at large Froudenumber) other parts of the pattern come into play. At the tips of the transverse...
charge Front-engine, rear-wheel-drive layout, of an automobile design Froudenumber (Fr), in physics Front Right (FR), one of the speakers in 5.1 surround...
{\text{Fr}}} is the Froudenumber, Re {\displaystyle {\text{Re}}} is the Reynolds number, and We {\displaystyle {\text{We}}} is the Weber number. The influence...
wave-making characteristics at its operating speed are reflected in its Froudenumber. A ship designer can compare the length at the water line for a design...
of both geometry and important forces, for example, using Froudenumber or Reynolds number scaling (see Similitude). In the pre-computer era, the UK economy...
the transition occurs whenever this number becomes less or more than one. One of these numbers is the Froudenumber: F r = d e f U g h , {\displaystyle...
forcesPages displaying short descriptions of redirect targets Froudenumber – Dimensionless number; ratio of a fluid's flow inertia to the external field Kármán...
produces very small bow waves and wakes, a consequence of a favorable Froudenumber. Vessels with beamy hulls (typically monohulls) normally create a large...
Reynolds and Froude are used in many fields of fluid dynamic studies. The Lock number is ours alone." Coning Mach numberFroudenumber Reynolds number Seidel...
dimensionless Froude numbers, which incorporate measures of animals' leg lengths, speed or stride frequency, and weight. Alexander incorporates Froude-number analysis...
environments. Antidunes occur in supercritical flow, meaning that the Froudenumber is greater than 1.0 or the flow velocity exceeds the wave velocity;...
\mathrm {Fr} _{c},} where F r {\displaystyle \mathrm {Fr} } is the Froudenumber, N {\displaystyle N} — the Brunt–Väisälä frequency, h {\displaystyle...
Reynolds number (named after the British scientist and mathematician Osborne Reynolds), and Froudenumber (named after the British engineer William Froude) was...
walking speed with the Froudenumber, F = v^2 / lg, where v^2 = velocity squared, l = leg length, and g= gravity. The Froudenumber is a dimensionless value...
the Froudenumber and is a dimensionless parameter that allows the gait of different sizes and species of animals to be compared. The Froudenumber is...
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