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]
Copyright of Journal of Crystal Growth is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 48895212
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  Data: On the capillary stability of the crystal–crucible gap during dewetted Bridgman process
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  Data: 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 &lt;180&#176; and θ c +α e ≥180&#176;, 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&#39;&#39;s number as a function of the crucible radius, that furthermore fulfill the capillary stability criteria of the crystal diameter. [Copyright &amp;y&amp; Elsevier]
– Name: AbstractSuppliedCopyright
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  Data: &lt;i&gt;Copyright of Journal of Crystal Growth is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jcrysgro.2009.11.050
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 5
        StartPage: 1416
    Subjects:
      – SubjectFull: Crystal growth
        Type: general
      – SubjectFull: Interfaces (Physical sciences)
        Type: general
      – SubjectFull: Fusion (Phase transformation)
        Type: general
      – SubjectFull: Harmonic functions
        Type: general
      – SubjectFull: Contact angle
        Type: general
      – SubjectFull: Solidification
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Simulation methods & models
        Type: general
    Titles:
      – TitleFull: On the capillary stability of the crystal–crucible gap during dewetted Bridgman process
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Epure, Simona
      – PersonEntity:
          Name:
            NameFull: Duffar, Thierry
      – PersonEntity:
          Name:
            NameFull: Braescu, Liliana
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      – BibEntity:
          Dates:
            – D: 01
              M: 04
              Text: Apr2010
              Type: published
              Y: 2010
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              Value: 00220248
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            – Type: volume
              Value: 312
            – Type: issue
              Value: 8
          Titles:
            – TitleFull: Journal of Crystal Growth
              Type: main
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