Abstract
The local similarity method is used to solve three nonsimilar conduction controlled freezing problems. These are: (1) freezing of a semi-infinite medium with wall convection, (2) outward cylindrical freezing with constant wall temperature, and (3) freezing of a semi-infinite medium with time-dependent wall temperature. The local similarity solutions are compared to the heat balance integral, perturbation, coupled integral equation, and numerical solutions. The method is found to be accurate within a few percent.
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