TKE meaning in Academic & Science ?

Answer:

What is Turbulent Kinetic Energy mean?

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 the 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 is defined to be half the sum of the variances (square of standard deviations) of the velocity components:

k = 1 2 ( ( u ′ ) 2 ¯ + ( v ′ ) 2 ¯ + ( w ′ ) 2 ¯ ) , {\displaystyle k={\frac {1}{2}}\left(\,{\overline {(u')^{2}}}+{\overline {(v')^{2}}}+{\overline {(w')^{2}}}\,\right),}

where the turbulent velocity component is the difference between the instantaneous and the average velocity u ′ = u − u ¯ {\displaystyle u'=u-{\overline {u}}} , whose mean and variance are u ′ ¯ = 1 T ∫ 0 T ( u (reference

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