Plume similarity in power-law stratification
= Plume similarity in power-law stratification
{title2=$(q,m,f)=(3+\beta/2,4+\beta,4+3\beta/2)$}
For $N^2=Kz^\beta$ and positive pure-power fluxes, the <similarity solution> exponents are $q=3+\beta/2$, $m=4+\beta$ and $f=4+3\beta/2$. Increasing volume and momentum and decreasing positive <buoyancy flux> require $-4<\beta<-8/3$. At fixed nonzero $K$ the endpoint coefficient limits are singular.