Turbulent kinetic energy dissipation rate (source code)

= Turbulent kinetic energy dissipation rate
{title2=$\epsilon=2\nu\overline{s'_{ij}s'_{ij}}$}

The positive rate per unit mass at which molecular viscosity removes <turbulent kinetic energy>, with $s'_{ij}$ the fluctuating symmetric velocity-gradient tensor. Its dimensions are velocity squared per time. The integral-scale estimate is $\epsilon\sim q^3/L$, expressing transfer over turnover time $L/q$; numerical constants depend on the convention for the turbulent velocity and length scales.