Free Surface Deformation of Thermo-Solutocapillary Convection in Axisymmetric Liquid Bridge

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• 作者：Xiaoming Zhou ; Xiulan Huai
• 关键词：Thermo ; solutocapillary convection ; Liquid bridge ; Free surface ; Level set method ; Marangoni number
• 刊名：Microgravity Science and Technology
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：27
• 期：1
• 页码：39-47
• 全文大小：1,379 KB
• 参考文献：1. Artemyev, V.K., Folomeev, V.I., Ginkin, V.P., Kartavykh, A.V., Mil’vidskii, M.G., Rakov, V.V.: The mechanism of Marangoni convection influence on dopant distribution in Ge space-grown single crystals. J. Cryst. Growth 223, 2937 (2001) CrossRef
  2. Brackbill, J.U., Kothe, D.B., Zemach, C.: A continuum method for modeling surface tension. J. Comput. Phys. 100 (2), 335-54 (1992) CrossRef
  3. Joly, F., Shyy, W., Labrosse, G.: The effect of thermo-solutal capillary transport on the dynamic of liquid bridge. In: Proceedings of HT-FED04 2004 ASME Heat Transfer/Fluids Engineering Summer Conference July 11-15. Charlotte, North Carolina (2004)
  4. Kawajia, M., Liang, R.Q., Nasr-Esfahany, M., et al.: The effect of small vibrations on Marangoni convection and the free surface of a liquid bridge. Acta. Astronautica 58, 622-32 (2006) CrossRef
  5. Koster, J.N.: Early mission Report on the four ESA facilities: Biorack; bubble, drop and particle unit; critical point facility and advanced protein crystallization facility flown on the IML-2 spacelab mission. Microgr. News from ESA 7, 2- (1994)
  6. Kuhlmann, H.C., Nienhuser, Ch.: Dynamic free-surface deformations in thermocapillary liquid bridges. Fluid Dyn. Res. 31, 103-27 (2002) CrossRef
  7. Levich, V.G., Krylov, V.S.: Surface-Tension-Driven Phenomena. Ann. Rev. Fluid Mech. 1, 293-16 (1969) CrossRef
  8. Liang, R.Q., Liao, Z.Q., Jiang, W., Duan, G.D., Shi, J.Y., Liu, P.: Numerical simulation of water droplets falling near a wall: existence of wall repulsion. Microgravity Sci. Technol. 23, 59-5 (2011) CrossRef
  9. Liang, R.Q., Ji, SY, Li, Z.: Thermocapillary convection in floating zone with axial magnetic fields. Microgravity Sci. Technol. 25, 285-93 (2014) CrossRef
  10. Lin, K., Dold, P., Benz, K.W.: Numerical study of influences of buoyancy and solutal Marangoni convection on flow structures in a germanium-silicon floating zone. Cryst. Res. Technol 40 (550), 556 (2005)
  11. Lyubimova, T.P., Skuridin, R.V., Faizrakhmanova I.S.: Effect of a magnetic field on the hysteresis transitions during floating-zone crystal growth. Tech. Phys. Lett. 33, 744-47 (2007a) CrossRef
  12. Lyubimova, T.P., Skuridin, R.V., Faizrakhmanova, I.S.: Thermo- and soluto-capillary convection in the floating zone process in zero gravity conditions. J. Cryst. Growth 303, 274-78 (2007b) CrossRef
  13. Lyubimova, T.P., Skuridin, R.V.: Numerical modeling of time-dependent three-dimensional flows and heat and mass transfer in a cylindrical liquid bridge in the absence of gravity. Fluid Dyn. 46, 479-89 (2011a) CrossRef
  14. Lyubimova, T.P., Scuridyn, R.V.: Numerical modelling of three-dimensional thermo- and solutocapillary-induced flows in a floating zone during crystal growth. Eur. Phys. J. Special Topics 192, 41-6 (2011b) CrossRef
  15. Minakuchi, H., Okano, Y., Dost, S.: A three-dimensional numerical simulation study of the Marangoni convection occurring in the crystal growth of Si_x / G _e1?x by the float-zone technique in zero gravity. J. Cryst. Growth
• 作者单位：Xiaoming Zhou (1)
  Xiulan Huai (1)
  
  1. Institute of Engineering Thermal Physics, Chinese Academy of Sciences, Beijing, 100190, China
  
• 刊物类别：Engineering
• 刊物主题：Extraterrestrial Physics and Space Sciences
  Aerospace Technology and Astronautics
  Classical Continuum Physics
  
• 出版者：Springer Netherlands
• ISSN：1875-0494

文摘

Steady thermo-solutocapillary convection in axisymmetric liquid bridge with dynamic free surface is numerically studied in the absence of gravitational effects. The upper and lower disks of liquid bridge maintain at constant temperature and solute concentration. The deformable free surface is obtained by Level set method. Numerical simulations are carried out for Prantle number Pr = 1, Capillary number Ca = 0.1, Marangoni number 1 ?Ma ?100, and thermal to solutal Marangoni number ratio ?0≤R σ ?0.1. The results show that there are three modes of free surface deformation in thermo-solutocapillary convection under low Marangoni number: 1) as ?0≤R σ σ =? the free surface bulges out near the lower and upper disks and bulges in at the central region of the liquid bridge; 3) as ?R σ ≤?0.1, the free surface bulges out near the upper disk and bulges in near the lower disk. Moreover, the effect of Marangoni number on free surface deformation also is discussed.