Plume balance parameter
= Plume balance parameter
{title2=$\Gamma=5FQ^2/(8\alpha M^{5/2})$}
The dimensionless ratio $\Gamma=5FQ^2/(8\alpha M^{5/2})$ compares a plume to the constant-entrainment pure balance. Values one, below one and above one describe <pure plume balance>, a momentum-excess <forced plume>, and a momentum-deficient <lazy plume>, respectively. For fluxes normalized by pi and a top-hat profile, $\Gamma=5g'b/(8\alpha w^2)$.