Dilute frazil polynya similarity solution (source code)

= Dilute frazil polynya similarity solution
{title2=$b,u,\phi\propto x^{1/3}$}

In a uniformly wind-forced <polynya> with normalized heat loss $f$, let $H=L+c_pmC_\infty$, $K=f/H$, $J=3S/(4\rho)$ and $r=\rho-\rho_s$. The dilute equilibrium model gives $bu^2=Jx$, $\phi bu=Kx$ and $rg\phi bb'=S/4$. Hence $u=(rgKx/\rho)^{1/3}$, $b=Jx/u^2$ and $\phi=(K/J)u$. This <similarity solution> is valid only while the <frazil ice> volume fraction is small and no exported crystal flux has been neglected improperly.