Rapid Freeze Prototyping (RFP) builds ice parts by depositing and freezing water in a layer-by-layer manner. This paper presents a one-dimensional transient heat transfer model for a thin ice wall built by the RFP process. Closed-form solutions for temperatures of the ice wall during solidification of a layer of water are derived, which can be used to estimate the solidification time. Natural cooling of the ice wall after solidification of a water layer is also studied. The analytical solutions of heating and cooling of the ice wall agree well with both numerical and experimental results.

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