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Turbulent Kinetic Energy : ウィキペディア英語版
Turbulence kinetic energy

In fluid dynamics, turbulence kinetic energy (TKE) is the mean kinetic energy per unit mass associated with eddies in turbulent flow. Physically, the turbulence kinetic energy is characterised by measured root-mean-square (RMS) velocity fluctuations.
In Reynolds-averaged Navier Stokes equations, the turbulence kinetic energy can be calculated based on the closure method, i.e. a turbulence model. Generally, the TKE can be quantified by the mean of the turbulence normal stresses:
: k = \frac12 \left( \overline + \overline + \overline \right).
TKE can be produced by fluid shear, friction or buoyancy, or through external forcing at low-frequency eddie scales(integral scale). Turbulence kinetic energy is then transferred down the turbulence energy cascade, and is dissipated by viscous forces at the Kolmogorov scale. This process of production, transport and dissipation can be expressed as:
: \frac + \nabla \cdot T' = P - \epsilon,
where:〔Pope, S. B., (2003) 'Turbulent Flows', Cambridge: Cambridge University Press〕
* Dk/Dt is the mean-flow material derivative of TKE;
* \nabla \cdot T' is the turbulence transport of TKE;
* P is the production of TKE, and
* \epsilon is the TKE dissipation.
The full form of the TKE equation is
:
\underbrace}_\\\text\end}
+
\underbrace}_\end}
= -
\underbrace \frac

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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