Journal of engineering physics

, Volume 61, Issue 5, pp 1394–1400 | Cite as

Concerning the shape of a growing dendrite

  • M. F. Prokhorova


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.).


Statistical Physic Surface Tension Heat Capacity Lower Estimate Curvature Correction 
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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • M. F. Prokhorova
    • 1
  1. 1.A. M. Gorky Ural State UniversitySverdlovsk

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