Kolmogorov microscales: Difference between revisions
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'''[[Andrey Kolmogorov|Kolmogorov]] microscales''' are the smallest [[scale (ratio)|scale]]s in [[Turbulence|turbulent flow]]. |
'''[[Andrey Kolmogorov|Kolmogorov]] microscales''' are the smallest [[scale (ratio)|scale]]s in [[Turbulence|turbulent flow]]. In his 1941 theory, A.N. Kolmogorov introduced the idea that the small scales of turbulence are universal and depend only on the kinematic viscosity of the fluid, ν, and the average rate of energy dissipation per unit mass, ε. The definitions of the Kolmogorov microscales can be obtained using this idea and dimensional analysis. Since the dimension of kinematic viscosity is length<sup>2</sup>/time, and the dimension of the energy dissipation rate is length<sup>2</sup>/time<sup>3</sup>, the only combination that has the units of time is <math>τ<sub>η</sub>(ν/ε)<sup>1/2</sup></math>. |
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The [[Kolmogorov scales]] are a [[physical unit]] used to characterize turbulent flows. |
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[[Category:Units of measure]] |
[[Category:Units of measure]] |
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Revision as of 22:10, 11 March 2007
Kolmogorov microscales are the smallest scales in turbulent flow. In his 1941 theory, A.N. Kolmogorov introduced the idea that the small scales of turbulence are universal and depend only on the kinematic viscosity of the fluid, ν, and the average rate of energy dissipation per unit mass, ε. The definitions of the Kolmogorov microscales can be obtained using this idea and dimensional analysis. Since the dimension of kinematic viscosity is length2/time, and the dimension of the energy dissipation rate is length2/time3, the only combination that has the units of time is Failed to parse (syntax error): {\displaystyle τ<sub>η</sub>(ν/ε)<sup>1/2</sup>} .
The Kolmogorov scales are a physical unit used to characterize turbulent flows.
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