Implications of a concentration-dependent growth rate on the boundary layer crystal-melt model

Details Implications of a concentration-dependent growth rate on the boundary layer crystal-melt model Implications of a concentration-dependent growth rate on the boundary layer crystal-melt model

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981e%26psl..56..429l&link_type=abstract

Earth and Planetary Science Letters, Volume 56, p. 429-434.

Computer Science

6

Scientific paper

The influence of a melt boundary layer on crystal growth is analyzed. The treatment extends the results of Burton, Prim and Slichter (1953) and incorporates composition-dependent growth rates. It is shown that in these general cases the growth rate cannot be arbitrarily fixed but must satisfy a self-consistent equation. Self-consistency problems arise because the growth rate determines the composition profile in the melt and, in turn, the composition profile determines the growth rate. The self-consistent growth rate is shown to vary markedly with the ratio δ/D, where δ is the thickness of the boundary layer and D is the appropriate diffusion coefficient in the melt. This self-consistency can be very important in the analysis of both field and laboratory growth rates as well as in trace element partition kinetic models.

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