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On the capillary stability of the crystal–crucible gap during dewetted Bridgman process

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Title: On the capillary stability of the crystal–crucible gap during dewetted Bridgman process
Authors: Epure, Simona1,2 simona_epure7@yahoo.com, Duffar, Thierry2, Braescu, Liliana1
Source: Journal of Crystal Growth. Apr2010, Vol. 312 Issue 8, p1416-1420. 5p.
Subjects: Crystal growth, Interfaces (Physical sciences), Fusion (Phase transformation), Harmonic functions, Contact angle, Solidification, Numerical analysis, Simulation methods & models
Abstract: Abstract: On the physical point of view, the dewetting phenomenon is governed by the Young–Laplace capillary equation through the Laplace (La) and Bond (Bo) non-dimensional numbers. Other relevant parameters are the contact angle of the liquid on the crucible wall, θ c , and the growth angle of the solidified material, α e . In practice two different cases, θ c +α e <180° and θ c +α e ≥180°, should be considered, as they lead to different behaviors. For studying the dependence of the crystal–crucible gap (e) on the main parameters of the process, the non-dimensional Young–Laplace equation has been solved numerically in the axi-symmetric case and for various values of the parameters, the results are presented in term of abacuses. These calculations allowed plotting a diagram giving the values of Laplace''s number as a function of the crucible radius, that furthermore fulfill the capillary stability criteria of the crystal diameter. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:Abstract: On the physical point of view, the dewetting phenomenon is governed by the Young–Laplace capillary equation through the Laplace (La) and Bond (Bo) non-dimensional numbers. Other relevant parameters are the contact angle of the liquid on the crucible wall, θ c , and the growth angle of the solidified material, α e . In practice two different cases, θ c +α e <180° and θ c +α e ≥180°, should be considered, as they lead to different behaviors. For studying the dependence of the crystal–crucible gap (e) on the main parameters of the process, the non-dimensional Young–Laplace equation has been solved numerically in the axi-symmetric case and for various values of the parameters, the results are presented in term of abacuses. These calculations allowed plotting a diagram giving the values of Laplace''s number as a function of the crucible radius, that furthermore fulfill the capillary stability criteria of the crystal diameter. [Copyright &y& Elsevier]
ISSN:00220248
DOI:10.1016/j.jcrysgro.2009.11.050