Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-10T11:19:59.849Z Has data issue: false hasContentIssue false
  • English
  • Français

The volume ratio effect on flow patterns and transition processes of thermocapillary convection

Published online by Cambridge University Press:  17 April 2019

Qi Kang ,
Jia Wang Open the ORCID record for Jia Wang [Opens in a new window] ,
Li Duan ,
Yinyin Su ,
Jianwu He ,
Di Wu  and
Wenrui Hu
Qi Kang
Affiliation:
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China
Jia Wang
Affiliation:
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China
Li Duan*
Affiliation:
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China
Yinyin Su
Affiliation:
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China
Jianwu He
Affiliation:
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China
Di Wu
Affiliation:
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China
Wenrui Hu
Affiliation:
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China
*
†Email address for correspondence: duanli@imech.ac.cn
Get access Rights & Permissions [Opens in a new window]

Abstract

Thermocapillary convection has always been one of the most important research topics in microgravity fluid physics. A space experimental study on the thermocapillary convection in an open annular liquid pool – a typical thermocapillary flow system – has been conducted on the SJ-10 satellite of China. This space experiment has observed the spatial temperature distribution of the liquid free surface using an infrared thermal imager, obtained the flow pattern transition process, analysed the oscillation characteristics and revealed the instability mechanism of themocapillary convection. The shape effects on the flow instability are researched by changing the volume ratio, Vr, which denotes the ratio of the liquid volume to the volume of the cylindrical gap between the walls. The volume ratio effect has been focused on for the first time. For a certain volume ratio, the flow pattern would transform from the steady state to the oscillation state accompanied by directional propagating hydrothermal waves with increasing temperature difference. In addition, the significant influences of the volume ratio on the critical conditions and wavenumber selection have been analysed in detail.

JFM classification

Convection: Marangoni convection Nonlinear Dynamical Systems: Pattern formation Instability: Parametric instability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 868 , 10 June 2019 , pp. 560 - 583
Copyright
© 2019 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Benz, S. & Schwabe, D. 2001 The three-dimensional stationary instability in dynamic thermocapillary shallow cavities. Exp. Fluids 31, 409–416.10.1007/s003480100316Google Scholar
Burguete, J., Mukolobwiez, N., Daviaud, F., Garnier, N. & Chiffaudel, A. 2001 Buoyant-thermocapillary instabilities in extended liquid layers subjected to a horizontal temperature gradient. Phys. Fluids 13, 2773–2787.10.1063/1.1398536Google Scholar
Coleman, H. & Steele, W. 2009 Experimentation, Validation, and Uncertainty Analysis for Engineers, 3rd edn, pp. 128–150. Wiley.10.1002/9780470485682Google Scholar
Eyer, A., Leiste, H. & Nitsche, R. 1985 Floating zone growth of silicon under microgravity in a sounding rocket. J. Cryst. Growth 71, 173–182.10.1016/0022-0248(85)90059-4Google Scholar
Garnier, N. & Chiffaudel, A. 2001 Two dimensional hydrothermal waves in an extended cylindrical vessel. Eur. Phys. J. B 19, 87–95.10.1007/s100510170352Google Scholar
Garnier, N., Chiffaudel, A. & Daviaud, F. 2006 Hydrothermal waves in a disk of fluid. In Dynamics of Spatio-temporal Cellular Structures (ed. Mutabazi, I., Wesfreid, J. E. & Guyon, E.), Springer Tracts in Modern Physics, vol. 207. Springer.Google Scholar
Jurisch, M. 1990 Surface temperature oscillations of a floating zone resulting from oscillatory thermocapillary convection. J. Cryst. Growth 102, 223–232.10.1016/0022-0248(90)90905-ZGoogle Scholar
Kamotani, Y., Chang, A. & Ostrach, S. 1994 Effects of heating mode on steady antisymmetric thermocapillary flows in microgravity. Trans. ASME 290, 53–59.Google Scholar
Kamotani, Y., Lee, J. & Ostrach, S. 1992 An experimental study of oscillatory thermocapillary convection in cylindrical containers. Phys. Fluids 4, 955–962.Google Scholar
Kamotani, Y., Ostrach, S. & Masud, J. 2000 Microgravity experiments and analysis of oscillatory thermocapillary flows in cylindrical containers. J. Fluid Mech. 410, 211–233.10.1017/S0022112099007892Google Scholar
Kamotani, Y., Ostrach, S. & Pline, A. 1995 A thermocapillary convection experiment in microgravity. Trans. ASME J. Heat Transfer 117, 611–618.Google Scholar
Kamotani, Y., Ostrach, S. & Pline, A. 1994 Analysis of velocity data taken in surface tension driven convection experiment in microgravity. Phys. Fluids 6, 3601–3609.10.1063/1.868432Google Scholar
Kamotani, Y., Ostrach, S. & Pline, A. 1998 Some temperature field results from the thermocapillary flow experiment aboard USML-2 spacelab. Adv. Space Res. 22, 1189–1195.10.1016/S0273-1177(98)00147-1Google Scholar
Kang, Q., Duan, L., Zhang, L., Yin, Y., Yang, J. & Hu, W. 2016 Thermocapillary convection experiment facility of an open cylindrical annuli for SJ-10 satellite. Microgravity Sci. Technol. 28, 123–132.10.1007/s12217-016-9486-9Google Scholar
Leypoldt, J., Kuhlmann, H. & Rath, H. 2000 Three-dimensional numerical simulations of thermocapillary flows in cylindrical liquid bridges. J. Fluid Mech. 414, 285–314.10.1017/S0022112000008570Google Scholar
Li, Y., Imaishi, N., Peng, L., Wu, S. & Hibiya, T. 2004 Thermocapillary flow in a shallow molten silicon pool with Cz configuration. J. Cryst. Growth 266, 88–95.Google Scholar
Muehlner, K., Schatz, M., Petrov, V., Swift, M. C. & Swinney, H. 1997 Observation of helical traveling-wave convection in a liquid bridge. Phys. Fluids 9, 1850–1852.Google Scholar
Peng, L., Li, Y. & Shi, W. 2007 Three-dimensional thermocapillary-buoyancy flow of silicone oil in a differentially heated annular pool. J. Heat Mass Transfer 50, 872–880.10.1016/j.ijheatmasstransfer.2006.08.015Google Scholar
Renaud, L., Gustav, A. & Henrik, A. 2001 Experimental and numerical investigation of nonlinear thermocapillary oscillations in an annular geometry. Eur. J. Mech. (B/Fluids) 20, 771–797.Google Scholar
Schwabe, D. 2002 Buoyant-thermocapillary and pure thermocapillary convective instabilities in Czochralski systems. J. Cryst. Growth 237, 1849–1853.10.1016/S0022-0248(01)02201-1Google Scholar
Schwabe, D. & Benz, S. 2002 Thermocapillary flow instabilities in an annulus under microgravity: results of the experiment MAGIA. Adv. Space Res. 29, 629–638.Google Scholar
Schwabe, D., Benz, S. & Cramer, A. 1999 Experiment on the multi-roll-structure of thermocapillary flow in side-heated thin liquid layers. Adv. Space Res. 24, 1367–1373.Google Scholar
Shevtsova, V., Mojahed, M., Melnikov, D. & Legros, J. 2003 The choice of the critical mode of hydrothermal instability in liquid bridge. Interfacial Fluid Dyn. Transport Process. 628, 242–261.Google Scholar
Shi, Y. & Imaishi, W. 2006 Hydrothermal waves in differentially heated shallow annular pools of silicone oil. J. Cryst. Growth 290, 280–291.Google Scholar
Smith, M. & Davis, S. 1983 Instabilities of dynamic thermocapillary liquid layers. I. Convective instabilities. J. Fluid Mech. 132, 145–162.Google Scholar
Tang, Z. & Hu, W. 1994 Influence of liquid bridge volume on the onset of oscillation in floating zone convection. II. Numerical simulation. J. Cryst. Growth 142, 385–391.10.1016/0022-0248(94)90350-6Google Scholar
Wu, S., Guan, J., Xiao, L., Shen, Z. & Xu, L. 2013 Experimental investigation on heat loss of a fully open cylindrical cavity with different boundary conditions. Expl Therm. Fluid Sci. 45, 92–101.Google Scholar
Yu, J., Li, Y., Wu, Ch. & Chen, J. 2015 Three-dimensional thermocapillary-buoyancy flow of a binary mixture with Soret effect in a shallow annular pool. Intl J. Heat Mass Transfer 90, 1071–1081.10.1016/j.ijheatmasstransfer.2015.07.048Google Scholar
Zhang, L., Duan, L. & Kang, Q. 2014 An experimental research on surface oscillation of buoyant-thermocapillary convection in open cylindrical annuli. Acta Mechanica Sin. 30, 681–686.10.1007/s10409-014-0073-2Google Scholar