= Small-interface-parameter growth with liquid superheat
{title2=$A=2/[\sqrt{\vartheta^2/\pi+2S}+\vartheta/\sqrt\pi]$}
The small-$\lambda$ limit of <superheated two-phase Stefan similarity> gives $a\simeq A\sqrt{\kappa t}$, where $A=2/[\sqrt{\vartheta^2/\pi+2S}+\vartheta/\sqrt\pi]$ and $\vartheta=\Theta/\Delta T$. For fixed superheat at large <latent-to-sensible heat ratio>, $A\sim\sqrt{2/S}$. For much larger superheat, $A\sim\sqrt\pi/\vartheta$. The approximation retains the leading effect of a hot interior and its coefficient need not be exact when $S$ is only order one.
Back to article page
