Home / Articles / Hydrodynamics and heat exchange of crystal pulling from melts. Part I: Experimental studies of free convection mode

Hydrodynamics and heat exchange of crystal pulling from melts. Part I: Experimental studies of free convection mode

Vladimir S. Berdnikov 1
Vladimir S. Berdnikov
1 Kutateladze Institute of Thermophysics, Siberian Branch of the Russian Academy of Sciences, 1 Academician Lavrentieva Ave., Novosibirsk 630090, Russia
10.3897/j.moem.5.46647
Published 12 September 2019
Communication , Volume 5, Issue 3, 91-100
1
Share
Cite this
GOST
 | 
Cite this
GOST
Copy cite
Berdnikov V. S. Hydrodynamics and heat exchange of crystal pulling from melts. Part I: Experimental studies of free convection mode // Modern Electronic Materials. 2019. Vol. 5. No. 3. pp. 91-100.
GOST all authors (up to 50)
Copy cite
Berdnikov V. S. Hydrodynamics and heat exchange of crystal pulling from melts. Part I: Experimental studies of free convection mode // Modern Electronic Materials. 2019. Vol. 5. No. 3. pp. 91-100.
RIS
 | 
Cite this
RIS
Copy cite
TY - JOUR
DO - 10.3897/j.moem.5.46647
UR - https://moem.colab.ws/publications/10.3897/j.moem.5.46647
TI - Hydrodynamics and heat exchange of crystal pulling from melts. Part I: Experimental studies of free convection mode
T2 - Modern Electronic Materials
AU - Berdnikov, Vladimir S.
PY - 2019
DA - 2019/09/12
PB - НИТУ МИСИС
SP - 91-100
IS - 3
VL - 5
ER -
BibTex
 | 
Cite this
BibTex (up to 50 authors)
Copy cite
@article{2019_Berdnikov,
author = {Vladimir S. Berdnikov},
title = {Hydrodynamics and heat exchange of crystal pulling from melts. Part I: Experimental studies of free convection mode},
journal = {Modern Electronic Materials},
year = {2019},
volume = {5},
publisher = {НИТУ МИСИС},
month = {Sep},
url = {https://moem.colab.ws/publications/10.3897/j.moem.5.46647},
number = {3},
pages = {91--100},
doi = {10.3897/j.moem.5.46647}
}
MLA
Cite this
MLA
Copy cite
Berdnikov, Vladimir S.. “Hydrodynamics and heat exchange of crystal pulling from melts. Part I: Experimental studies of free convection mode.” Modern Electronic Materials, vol. 5, no. 3, Sep. 2019, pp. 91-100. https://moem.colab.ws/publications/10.3897/j.moem.5.46647.
Views / Visits / Downloads
68 / 68 / 41

Keywords

boundary layers
crystal growth
crystallization front shape
Czochralski technique
heat exchange
laminar-turbulent transition
local heat flows
thermal gravity capillary convection

Abstract

This work is a brief overview of experimental study results for hydrodynamics and convective heat exchange in thermal gravity capillary convection modes for the classic Czochralski technique setup obtained at the Institute of Thermophysics, Siberian Branch of the Russian Academy of Sciences. The experiments have been carried out at test benches which simulated the physics of the Czochralski technique for 80 and 295 mm diameter crucibles. Melt simulating fluids with Prandtl numbers Pr = 0.05, 16, 45.6 and 2700 have been used. Experiments with transparent fluids have been used for comparing the evolution of flow structure from laminar mode to well-developed turbulent mode. Advanced visualization and measurement methods have been used. The regularities of local and integral convective heat exchange in the crucible/melt/crystal system have been studied. The experiments have shown that there are threshold Grashof and Marangoni numbers at which the structure of the thermal gravity capillary flow undergoes qualitative changes and hence the regularities of heat exchange in the melt change. The effect of melt hydrodynamics on the crystallization front shape has been studied for Pr = 45.6. Crystallization front shapes have been determined for the 1 × 105 to 1.9 × 105 range of Grashof numbers. We show that the crystallization front shape depends largely on the spatial flow pattern and the temperature distribution in the melt.

References

1.
Shashkov Yu.M. Vyrashchivanie monokristallov metodom vytyagivaniya [Single-crystal growth by extrusion]. Moscow: Metallurgia, 1982, 312 p. (In Russ.)
2.
Vasiliev Y.V., Akhmetshin R.R., Borovliev Y.A., Grigoriev D.N., Gusev V.A., Shlegel V.N., Smakhtin V.P.
Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1996
3.
Goriletsky V.I., Nemenov V.A., Protsenko V.G., Radkevich A.V., Eidelman L.G.
Journal of Crystal Growth, 1981
6.
Vasiliev M.G., Budenkova O.N., Yuferev V.S., Kalaev V.V., Shlegel V.N., Ivannikova N.V., Vasiliev Y.V., Mamedov V.M.
Journal of Crystal Growth, 2005
7.
Galashov E.N., Gusev V.A., Shlegel V.N., Vasiliev Y.V.
Crystallography Reports, 2009
9.
Berdnikov V.S., Polezhaev V.I., Prostomolotov A.I.
Fluid Dynamics, 1986
10.
Berdnikov V.S., Panchenko V.I. Teplofizika kristallizatsii veshchestv i materialov [Thermophysics of crystallization of substances and materials]. Novosibirsk, 1987: 5–15. (In Russ.)
11.
Berdnikov V.S., Borisov V.L., Markov V.A., Panchenko V.I. Simulation of the hydrodynamics of melt in pulling crystals with a conical front and annular cross-section. Heat Transfer – Soviet Research, 1989; 21(6): 828–845.
12.
Berdnikov V.S., Panchenko V.I., Soloviev S.V. Teplofizika kristallizatsii i vysokotemperaturnoi obrabotki materialov [Thermophysics of crystallization and high-temperature processing of materials]. Novosibirsk, 1990: 162–199. (In Russ.)
13.
Berdnikov V.S., Markov V.A. Heat transfer in a horizontal layer with differently rotating boundaries on heating from below. Heat Transfer Research, 1999; 30(1): 209–212.
14.
Berdnikov V.S., Vinokurov V.V., Panchenko V.I., Solov'ev S.V.
Journal of Engineering Physics and Thermophysics, 2001
15.
Grigoriev D.N., Akhmetshin R.R., Babichev E.A., Borovlev Y.A., Chistokhin I.B., Ivannikova N.V., Kazanin V.F., Kuznetsov G.N., Postupaeva A.G., Shlegel V.N., Vasiliev Y.V.
IEEE Transactions on Nuclear Science, 2014
16.
Kakimoto K., Chen X., Liu L.J., Miyazawa H., Matsuo H., Nakano S., Hisamatsu S., Kangawa Y.
ECS Transactions, 2009
17.
Zhu Y., Tang F., Yang X., Yang M., Ma D., Zhang X., Liu Y., Lin S., Wang B.
Journal of Crystal Growth, 2018
18.
Zhang X., Liu D., Wang S., Zhao X., Chen Y.
IEEE Sensors Journal, 2019
21.
Polezhaev V.I., Bune A.V., Verezub N.A., Glushko G.S., Gryaznov B.L., Dubovik K.G., Nikitin C.A., Prostomolotov A.I., Fedoseev A .I., Cherkasov S.G. Matematicheskoe modelirovanie konvektivnogo teplomassoobmena na osnove uravnenii Nav’e-Stoksa [Mathematical Modeling of Convective Heat Transfer on the Basis of the Navier-Stokes Equations]. Moscow: Nauka, 1987. 274 p. (In Russ.)
22.
Nikitin N.V., Polezhaev V.I. Three-dimensional convective instability and temperature fluctuations during crystal growth by the Czochralski method. Izv. RAN. Mekhanika zhidkosti i gaza, 1999; (3): 26–39.
23.
Polezhaev V.I., Bessonov O.A., Nikitin N.V., Nikitin S.A.
Journal of Crystal Growth, 2001
24.
Prostomolotov A.I., Milvidskii M.G. Modeling of thermal processes and defect formation during the growth and thermal annealing of dislocation-free silicon single crystals and wafers. Izvestiya Vysshikh Uchebnykh Zavedenii. Materialy Elektronnoi Tekhniki = Materials of Electronics Engineering, 2008; (3): 49–53. (In Russ.)
25.
Prostomolotov A.I. Coupled modeling of thermal processes and defect formation during the growth of dislocation-free silicon single crystals. Izvestiya Vysshikh Uchebnykh Zavedenii. Materialy Elektronnoi Tekhniki = Materials of Electronics Engineering, 2009; (2): 66–77. (In Russ.)
26.
Dupret F., Rolinsky R., Wu L., Loix F., De Potter A., Van den Bogaert N., Regnier V.
ECS Transactions, 2009
27.
Verezub N.A.1, Prostomolotov A.I. Thermal optimization of silicon single crystal growth on «Redmet-90M» puller. Izvestiya Vysshikh Uchebnykh Zavedenii. Materialy Elektronnoi Tekhniki = Materials of Electronics Engineering, 2010; (4): 22–25. (In Russ.)
28.
Prostomolotov A.I., Verezub N.A., Mezhennii M.V., Reznik V.Y.
Journal of Crystal Growth, 2011
29.
Ivannikova N.V., Shlegel V.N., Vasiliev Y.V.
Crystallography Reports, 2014
32.
Berdnikov V.S., Mitin K.A.
Bulletin of the Russian Academy of Sciences: Physics, 2016
34.
Kumar M.A., Srinivasan M., Ramasamy P.
AIP Conference Proceedings, 2018
40.
Enger S., Basu B., Breuer M., Durst F. Computation of Buoyancy-Driven flow in a Czochralski crucibl / S. Enger, B. Basu, M. Brcuer, F. Durst. Proc. Fourth ISHMT/ASME Heat and Mass Transfer Conf. and Fifteenth Nat. Heat and Mass Transfer Conf. New Delhi (India): Tata McGraw-Hill Publ. Co. Ltd., 2000: 583–588.
41.
Weinstein O., Virozub A., Miller W., Brandon S.
Journal of Crystal Growth, 2019
42.
Kutateladze S.S., Berdnikov V.S.
International Journal of Heat and Mass Transfer, 1984