Self-similar ice-bearing wall plume ($b=eZ,w=(g^{\prime }{I}_0/e{)}^{1/3},\varphi =w^2/(g^{\prime }Z)$)

For one exposed entraining edge and conserved positive dilute ice flux $I_0$, the line-plume equations give the displayed pure far-field solution. Its width grows linearly, speed is constant and ice fraction decays inversely with distance from a virtual origin. Two exposed edges replace $e$ by $2e$. The dilute solution is invalid near the formal origin, where its ice fraction diverges.