# Turbulence dissipation rate

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Turbulence dissipation, $\epsilon$ is the rate at which turbulence kinetic energy is converted into thermal internal energy. The SI unit of $\epsilon$ is $J / kg s = m^2 / s^3$.
$\epsilon \, \overset{\underset{\mathrm{def}}{}}{=} \, nu \overline{\frac{\partial u_i'}{\partial x_k}\frac{\partial u_i'}{\partial x_k}}$