Concerning the shape of a growing dendrite
Time-independent growth of a dendrite with a nonisothermic surface is considered. The Gibbs-Thomson correction, kinetic supercooling and the curvature correction under conditions of thermal balance are taken into account. The solid- and liquid-phase heat capacities need not be equal. We obtain lower estimates for the degree of difference of the dendrite shape from paraboloidal (parabolic), valid for any — not necessarily small — values of the parameters (supercooling, surface tension, etc.).
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