Froude number

E415502

The Froude number is a dimensionless quantity in fluid dynamics that compares inertial forces to gravitational forces, commonly used to characterize flow regimes in open channels and around ships.

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Froude number canonical 1

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Predicate Object
instanceOf dimensionless quantity
hydraulic parameter
similarity parameter
appliesTo channel transitions
free-surface flows
gravity currents
open-channel flow
river hydraulics
ship motion in water
sluice gate flows
spillway flows
wave–structure interaction
assumes dominance of gravitational forces over surface tension in many applications
characterizes critical flow when Fr = 1
subcritical flow when Fr < 1
supercritical flow when Fr > 1
definition Fr = U / sqrt(g L) in its common form
ratio of characteristic flow velocity to gravity wave celerity
describes ratio of inertial forces to gravitational forces
dimension dimensionless
field coastal engineering
fluid dynamics
hydraulics
naval architecture
open-channel flow
governs similarity between hydraulic model and prototype under gravity effects
hasParameter characteristic length
characteristic velocity
gravitational acceleration
namedAfter William Froude
relatedTo Bond number
Mach number
Reynolds number
Weber number
symbol Fr
usedFor analysis of flow over hydraulic structures
analysis of wave run-up and overtopping
characterizing flow regimes in open channels
characterizing gravity-dominated flows
characterizing ship resistance and wave-making
classifying subcritical and supercritical flow
design of spillways and weirs
model–prototype similarity in hydraulic models
predicting hydraulic jumps
scale effects in towing tank experiments
ship model testing
usedIn dam spillway design
design of navigation channels
ship hull form optimization
towing tank experiments

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Mach number relatedConcept Froude number