Research output: Contribution to journal › Article › peer-review
Exact solution of the problem of dissolved gas segregation by the plane crystallization front. / Pil'Nik, Andrey; Chernov, Andrey.
In: Journal of Physics: Conference Series, Vol. 899, No. 3, 032019, 27.09.2017.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Exact solution of the problem of dissolved gas segregation by the plane crystallization front
AU - Pil'Nik, Andrey
AU - Chernov, Andrey
PY - 2017/9/27
Y1 - 2017/9/27
N2 - Analytical solution of the segregation problem was found for the arbitrary crystal growth law using the quasi-steady-state approximation. The segregation is caused by the displacement of dissolved gas by moving plane crystallization front. The effect of solidification shrinkage on the crystallization process was taken into account. It is shown that in the case of "equilibrium crystallization" (when the growth rate is in inverse ratio to time) the solution of the problem becomes self-similar. In this case gas concentration at the crystallization front stays the same during the whole process while the diffusion layer thickness increases with time.
AB - Analytical solution of the segregation problem was found for the arbitrary crystal growth law using the quasi-steady-state approximation. The segregation is caused by the displacement of dissolved gas by moving plane crystallization front. The effect of solidification shrinkage on the crystallization process was taken into account. It is shown that in the case of "equilibrium crystallization" (when the growth rate is in inverse ratio to time) the solution of the problem becomes self-similar. In this case gas concentration at the crystallization front stays the same during the whole process while the diffusion layer thickness increases with time.
KW - PORE SHAPE
KW - HYDRATE FORMATION
KW - SUPERCOOLED MELT
KW - ALLOY COATINGS
KW - LIQUID
KW - MECHANISM
KW - POROSITY
KW - GROWTH
UR - http://www.scopus.com/inward/record.url?scp=85033778363&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/899/3/032019
DO - 10.1088/1742-6596/899/3/032019
M3 - Article
AN - SCOPUS:85033778363
VL - 899
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 3
M1 - 032019
ER -
ID: 9698092