Monin-Obukhov length
= Monin-Obukhov length
{c}
{title2=$\ell_O=-u_*^3/(\kappa B_0)$}
{wiki=Monin–Obukhov_length}
= Obukhov length
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{synonym}
The signed wall-turbulence length formed from stress velocity and the <vertical turbulent buoyancy flux>. With upward buoyancy transport positive, stable cooling has $B_0<0$ and $\ell_O>0$; heating from below gives $\ell_O<0$. The magnitude marks the transition between shear-dominated and buoyancy-dominated scaling.