# Turbulence dissipation rate

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 Revision as of 20:29, 11 June 2011 (view source)Peter (Talk | contribs) (Problems with the latex in CFD Wiki: the \nu symbol doesn't work for some strange reason. Same problem with \equiv.)← Older edit Revision as of 19:34, 12 June 2011 (view source)Peter (Talk | contribs) (Finally fixed the \nu and \equiv problems in the LaTeX rendering)Newer edit → Line 1: Line 1: Turbulence dissipation, $\epsilon$ is the rate at which [[turbulence kinetic energy]] is converted into thermal internal energy. The SI unit of $\epsilon$ is $J / kg s = m^2 / s^3$. Turbulence dissipation, $\epsilon$ is the rate at which [[turbulence kinetic energy]] is converted into thermal internal energy. The SI unit of $\epsilon$ is $J / kg s = m^2 / s^3$. - $\epsilon \, \overset{\underset{\mathrm{def}}{}}{=} \, nu \overline{\frac{\partial u_i'}{\partial x_k}\frac{\partial u_i'}{\partial x_k}}$ + $\epsilon \, \equiv \, \nu \overline{\frac{\partial u_i'}{\partial x_k}\frac{\partial u_i'}{\partial x_k}}$

## 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 $J / kg s = m^2 / s^3$.

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