Kolmogorov length scale: Difference between revisions

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{{DefineConcept
{{DefineConcept
|parameter_name=Kolmogorov length scale
|parameter_name=Kolmogorov length scale
|description=Kolmogorov length scale <math>\eta</math>
|description=Kolmogorov length scale <math>L_k</math>
|instrument_type=
|article_type=Concept
}}
}}
<math>\eta=\left(\frac{\nu^3}{\varepsilon}\right)^{1/4}</math>
<math>L_k=\left(\frac{\nu^3}{\varepsilon}\right)^{1/4}</math>
where <math>\nu</math> is the kinematic viscosity of the fluid and <math>\varepsilon</math> is the rate of dissipation of turbulence kinetic energy by viscous friction. It is the smallest length scale before viscous effects smoothen the velocity fluctuations.
where <math>\nu</math> is the kinematic viscosity of the fluid and <math>\varepsilon</math> is the rate of dissipation of turbulence kinetic energy by viscous friction. It provides the order of magnitude of the scale at which molecular viscosity smoothens (or erases) the fluctuations of velocity.

Latest revision as of 19:48, 1 December 2021


Short definition of Kolmogorov length scale (Kolmogorov length scale)
Kolmogorov length scale [math]\displaystyle{ L_k }[/math]

This is the common definition for Kolmogorov length scale, but other definitions maybe discussed within the wiki.


[math]\displaystyle{ L_k=\left(\frac{\nu^3}{\varepsilon}\right)^{1/4} }[/math] where [math]\displaystyle{ \nu }[/math] is the kinematic viscosity of the fluid and [math]\displaystyle{ \varepsilon }[/math] is the rate of dissipation of turbulence kinetic energy by viscous friction. It provides the order of magnitude of the scale at which molecular viscosity smoothens (or erases) the fluctuations of velocity.