Kolmogorov microscales

E1041766

Kolmogorov microscales are the smallest characteristic length, time, and velocity scales in turbulent flow at which viscous dissipation of kinetic energy dominates.

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Statements (46)

Predicate Object
instanceOf fluid dynamics concept
turbulence scale
appliesTo high Reynolds number flows
incompressible turbulence
assumption existence of an inertial subrange
local isotropy at small scales
statistical homogeneity at small scales
characteristicOf fully developed turbulence
dependsOn kinematic viscosity
mean energy dissipation rate per unit mass
describes smallest scales of turbulent motion
dimensionOfLengthScale length
dimensionOfTimeScale time
dimensionOfVelocityScale velocity
dominantProcess viscous dissipation of kinetic energy
energyTransferProperty convert kinetic energy into heat
receive energy from inertial subrange
field fluid dynamics
turbulence theory
hasComponent Kolmogorov length scale NERFINISHED
Kolmogorov time scale NERFINISHED
Kolmogorov velocity scale NERFINISHED
independentOf large scale flow geometry under Kolmogorov hypotheses
introducedBy Andrey Kolmogorov NERFINISHED
introducedIn 1941
lengthScaleFormula η = (ν³/ε)^(1/4)
namedAfter Andrey Kolmogorov NERFINISHED
regime viscous subrange of turbulence spectrum
relatedConcept Taylor microscale
integral length scale
relatedTo Kolmogorov 1941 theory NERFINISHED
Kolmogorov similarity hypotheses NERFINISHED
roleIn closure models for turbulence
direct numerical simulation resolution requirements
turbulence modeling
scaleRange smallest dynamically relevant scales in turbulent flow
spectralProperty associated with high wavenumber end of energy spectrum
symbolForLengthScale η
symbolForTimeScale τη
symbolForVelocityScale
timeScaleFormula τη = (ν/ε)^(1/2)
typicalOrderOfMagnitude much smaller than integral scale in high Reynolds number flows GENERATED
usedFor designing experimental measurements in turbulence
estimating smallest eddy size
grid spacing selection in DNS
velocityScaleFormula uη = (νε)^(1/4)

Referenced by (1)

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Kolmogorov spectrum of turbulence relatedConcept Kolmogorov microscales