Stratified line-plume height scale (source code)

= Stratified line-plume height scale
{title2=$z_s$}

A line plume of kinematic <buoyancy flux> $B_0$ rising through uniform <buoyancy frequency> $N$ has the dimensional height scale
$$
z_s=\frac{B_0^{1/3}}N.
$$
It measures the height over which ambient stratification removes an order-one fraction of the plume buoyancy before the plume reaches neutral buoyancy and spreads as a <buoyant intrusion>.