Abstract
An analysis of energy and mass transport near the tips of steadily advancing dendrites has been developed. Transport equations have been derived and have been solved using the method of variable transformation to a 1-dim. system. Geometric and thermodynamic matching criteria were employed to ensure that the tip region transport fields were compatible with those obtained previously in the basal plane region. The overall results indicate that the higher the free field temperature the shorter and more blunt are the dendrites. Similarly increasing the free-field concentration at constant free-field superheat drastically reduces the dendrite length. Dendrite length was also found to be inversely proportional to the rate of freezing.
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