Numerical simulation of convective flow of the melt in the classical Czochralski method, in ACRT and CACRT 1 : Simulation of forced convection
Numerical simulation of convective flow of the melt in the classical Czochralski method, in ACRT and CACRT 1 : Simulation of forced convection
In part 1 of this report, a procedure is described for the numerical solution of the time-dependent Navier-Stokes equations governing the forced convective flow in a crystal-growth crucible. By means of five digital simulations of the classical Czochralski crystal-pulling process, we show the excell...
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Personal Name(s): | Mihelcic, M. |
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Schröck-Pauli, C. / Wingerath, K. / Wenzl, H. / Uelhoff, W. / Van der Hart, A. | |
Contributing Institute: |
Publikationen vor 2000; PRE-2000; Retrocat |
Imprint: |
Jülich
Kernforschungsanlage Jülich, Verlag
1980
|
Physical Description: |
160 p. |
Document Type: |
Report Book |
Research Program: |
Addenda |
Series Title: |
Berichte der Kernforschungsanlage Jülich
1682 |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
In part 1 of this report, a procedure is described for the numerical solution of the time-dependent Navier-Stokes equations governing the forced convective flow in a crystal-growth crucible. By means of five digital simulations of the classical Czochralski crystal-pulling process, we show the excellent agreement of our calculations with the experimental data of Carruthers and Nassau [3], not only qualitatively but quantitatively, too. Moreover, for the Accelerated Crucible-Rotation Technique (ACRT) and its application to the Czochralski method (CACRT), the first numerical simulations are presented assuming the fluid model to be the same 1:1 glycerine-water mixture of moderate kinematic viscosities as in [3]. But our programme can also deal with low viscosities typical for semiconductors and liquid metals: This is demonstrated by our simulations of the classical Czochralski,the ACRT and the CACRT arrangements with the viscosity of liquid copper. |