Dilution function for a melting saline Stefan front
= Dilution function for a melting saline Stefan front
{title2=$C_i/C_0=[1+\sqrt\pi A e^{A^2}\operatorname{erfc}(-A)]^{-1}$}
For stationary liquid below a salt-free solid and an upward <melting> interface $a(t)=2A\sqrt{Dt}$, the <complementary error function> salt profile and flux balance $D C_z(a)=-\dot a C_i$ give the displayed concentration ratio. For $A>0$ it lies below one. At large $A$ it behaves as $e^{-A^2}/(2\sqrt\pi A)$.