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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Kolmogorov microscales canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T13444031 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Kolmogorov microscales Context triple: [Kolmogorov spectrum of turbulence, relatedConcept, Kolmogorov microscales]
-
A.
Taylor microscale in turbulence
The Taylor microscale in turbulence is a characteristic length scale that quantifies the size of eddies where viscous dissipation begins to significantly affect turbulent motion, bridging the gap between large energy-containing eddies and the smallest dissipative scales.
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B.
Kolmogorov spectrum of turbulence
The Kolmogorov spectrum of turbulence is a fundamental theory in fluid dynamics that predicts how kinetic energy is distributed across different scales in fully developed turbulent flow, most famously yielding the −5/3 power law for the inertial subrange.
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C.
A First Course in Turbulence
A First Course in Turbulence is a foundational textbook that introduces the theory, physics, and mathematical modeling of turbulent flows for advanced students in fluid mechanics.
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D.
Knudsen number
The Knudsen number is a dimensionless quantity in fluid dynamics that compares a gas’s molecular mean free path to a characteristic physical length scale, indicating whether continuum or rarefied flow models are appropriate.
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E.
Kraichnan model of passive scalar advection
The Kraichnan model of passive scalar advection is a theoretical framework in turbulence that studies how a passively transported quantity (like temperature or pollutant concentration) evolves in a fluid flow modeled by a Gaussian, white-in-time random velocity field.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Kolmogorov microscales Target entity description: Kolmogorov microscales are the smallest characteristic length, time, and velocity scales in turbulent flow at which viscous dissipation of kinetic energy dominates.
-
A.
Taylor microscale in turbulence
The Taylor microscale in turbulence is a characteristic length scale that quantifies the size of eddies where viscous dissipation begins to significantly affect turbulent motion, bridging the gap between large energy-containing eddies and the smallest dissipative scales.
-
B.
Kolmogorov spectrum of turbulence
The Kolmogorov spectrum of turbulence is a fundamental theory in fluid dynamics that predicts how kinetic energy is distributed across different scales in fully developed turbulent flow, most famously yielding the −5/3 power law for the inertial subrange.
-
C.
A First Course in Turbulence
A First Course in Turbulence is a foundational textbook that introduces the theory, physics, and mathematical modeling of turbulent flows for advanced students in fluid mechanics.
-
D.
Knudsen number
The Knudsen number is a dimensionless quantity in fluid dynamics that compares a gas’s molecular mean free path to a characteristic physical length scale, indicating whether continuum or rarefied flow models are appropriate.
-
E.
Kraichnan model of passive scalar advection
The Kraichnan model of passive scalar advection is a theoretical framework in turbulence that studies how a passively transported quantity (like temperature or pollutant concentration) evolves in a fluid flow modeled by a Gaussian, white-in-time random velocity field.
- F. None of above. chosen
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 | uη ⓘ |
| 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) ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Kolmogorov microscales Description of subject: Kolmogorov microscales are the smallest characteristic length, time, and velocity scales in turbulent flow at which viscous dissipation of kinetic energy dominates.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.