Ice formation on a flat plate from humid air at above-freezing temperatures is studied. Condensations from both laminar-forced and natural convective boundary layers are considered. The governing equations are hyperbolic. One family of characteristics immediately coalesces to form a mathematical shock. Physically, the shock represents the extent to which the liquid layer has spread. Behind the shock, the thin liquid layer completely transforms the ice layer profile at near the shock speed. Various parameters affecting the shock speed and the condensate profile are discussed.

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