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Turbulence dissipation rate

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(Problems with the latex in CFD Wiki: the \nu symbol doesn't work for some strange reason. Same problem with \equiv.)
(Finally fixed the \nu and \equiv problems in the LaTeX rendering)
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Turbulence dissipation, <math>\epsilon</math> is the rate at which [[turbulence kinetic energy]] is converted into thermal internal energy. The SI unit of <math>\epsilon</math> is <math>J / kg s = m^2 / s^3</math>.
Turbulence dissipation, <math>\epsilon</math> is the rate at which [[turbulence kinetic energy]] is converted into thermal internal energy. The SI unit of <math>\epsilon</math> is <math>J / kg s = m^2 / s^3</math>.
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<math>\epsilon \, \overset{\underset{\mathrm{def}}{}}{=} \, nu \overline{\frac{\partial u_i'}{\partial x_k}\frac{\partial u_i'}{\partial x_k}}</math>
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<math>\epsilon \, \equiv \, \nu \overline{\frac{\partial u_i'}{\partial x_k}\frac{\partial u_i'}{\partial x_k}}</math>

Revision as of 19:34, 12 June 2011

Turbulence dissipation, \epsilon is the rate at which turbulence kinetic energy is converted into thermal internal energy. The SI unit of \epsilon is J / kg s = m^2 / s^3.

\epsilon \, \equiv \, \nu \overline{\frac{\partial u_i'}{\partial x_k}\frac{\partial u_i'}{\partial x_k}}

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