Abstract
Microgravity experiments have been conducted on the International Space Station in order to clarify the transition processes of the Marangoni convection in liquid bridges of high Prandtl number fluid. The use of microgravity allows us to generate large liquid bridges, 30 mm in diameter and up to 60 mm in length. Three-dimensional particle tracking velocimetry (3-D PTV) is used to reveal complex flow patterns that appear after the transition of the flow field to oscillatory states. It is found that a standing-wave oscillation having an azimuthal mode number equal to one appears in the long liquid bridges. For the liquid bridge 45 mm in length, the oscillation of the flow field is observed in a meridional plane of the liquid bridge, and the flow field exhibits the presence of multiple vortical structures traveling from the heated disk toward the cooled disk. Such flow behaviors are shown to be associated with the propagation of surface temperature fluctuations visualized with an IR camera. These results indicate that the oscillation of the flow and temperature field is due to the propagation of the hydrothermal waves. Their characteristics are discussed in comparison with some previous results with long liquid bridges. It is shown that the axial wavelength of the hydrothermal wave observed presently is comparable to the length of the liquid bridge and that this result disagrees with the previous linear stability analysis for an infinitely long liquid bridge.
Similar content being viewed by others
Abbreviations
- Ar :
-
Aspect ratio [−]
- D :
-
Disk diameter [m]
- f :
-
Frequency [Hz]
- H :
-
Length of the liquid bridge [m]
- m :
-
Azimuthal mode number [−]
- Ma :
-
Marangoni number [−]
- Ma c :
-
Critical Marangoni number [−]
- Pr :
-
Prandtl number [−]
- r :
-
Radial position [m]
- t :
-
Time [s]
- T :
-
Oscillation period [s] or temperature [K]
- T c, T h :
-
Cooled-disk temperature and heated-disk temperature [K]
- ΔT :
-
Temperature difference [K]
- ΔT c :
-
Critical temperature difference [K]
- V :
-
Liquid bridge volume [m3]
- V 0 :
-
Gap volume [m3]
- Vr :
-
Volume ratio (=V/V 0 ) [−]
- z :
-
Axial position [m]
- α :
-
Thermal diffusivity [m2/s]
- λ z :
-
Axial wavelength [m]
- ν :
-
Kinematic viscosity [m2/s]
- ρ :
-
Density [kg/m3]
- σ :
-
Surface tension [N/m]
- σ T :
-
Temperature coefficient of surface tension [N/(m·K)]
- :
-
Mean value
- :
-
Dimensionless value
References
Chernatinsky VI, Birikh RV, Briskman VA, Schwabe D (2002) Thernocapillary flows in long liquid bridges under microgravity. Adv Space Res 29(4):619–624
Kamotani Y, Ostrach S, Vargas M (1984) Oscillatory thermocapillary convection in a simulated floating-zone configuration. J Crystal Growth 66:83–90
Kawamura H, Ueno I (2006) Review on thermocapillary convection in a half-zone liquid bridge with high Pr fluid: onset of oscillatory convection, transition of flow regimes, and particle accumulation structure. In: Savino R (ed) Surface tension-driven flows and applications, Research Signpost, pp 1–24
Kawamura H, Nishino K, Matsumoto S, Ueno I (2010) Space experiment of Marangoni convection on international space station. In Proceedings of the 14th international heat transfer conference, 8–13 August, 2010, Washington, USA (also submitted to the Transactions of ASME, Journal of Heat Transfer)
Kuhlmann HC (1999) Thermocapillary convection in models of crystal growth. Springer tracts in modem physics, vol. 152. Springer, Berlin, Heidelberg
Mass HG, Gruen A, Papantoniou D (1993) Particle tracking velocimetry in three-dimensional flows. Exp Fluids 15:133–146
Nishimura M, Ueno I, Nishino K, Kawamura H (2005) 3D PTV measurement of oscillatory thermocapillary convection in half-zone liquid bridge. Exp Fluids 38(3):285–290
Nishino K, Kasagi N, Hirata M (1989) Three-dimensional particle tracking velocimetry based on automated digital image processing. J Fluids Eng-T ASME 111:384–391
Nishino K, Yamawaki M, Takami M (1995) Three-dimensional flow visualization and measurement of suspended liquid bridge. J Jpn Soc Microgravity Appl 12(4):205–213
Nishino K, Kawamura H, Emori T, Iijima Y, Kawasaki K, Makino K, Yoda S, Kawasaki H (1998) Simultaneous observation of three-dimensional flow and surface temperature of unsteady Marangoni convection in a liquid bridge (in Japanese). J Jpn Soc Microgravity Appl 15(3):158–164
Ostrach S (1983) Fluid mechanics in crystal growth—The 1982 freeman scholar lecture. Transactions of the ASME. J Fluids Eng 105:5–20
Preisser F, Schwabe D, Scharmann A (1983) Steady and oscillatory thermocapillary convection in liquid columns with free cylindrical surface. J Fluid Mech 126:545–567
Schwabe D (1981) Marangoni effects in crystal growth melts. Physico Chemical Hydrodynamics 2(4):263–280
Schwabe D (2005) Hydro thermal waves in a liquid bridge with aspect ratio near the Rayleigh limit under microgravity. Phys Fluids 17:112104
Shevtsova V, Mialdun A, Kawamura H, Ueno I, Nishino K, Lappa M (2011) Onset of hydrothermal instability in liquid bridge. Experimental benchmark. FDMP 7(1):1–28
Tiwari S, Nishino K (2007) Numerical study to investigate the effect of partition block and ambient air temperature on interfacial heat transfer in liquid bridges of high Prandtl number fluid. J Crystal Growth 300:486–496
Xu JJ, Davis SH (1984) Convective thermocapillary instabilities in liquid bridges. Phys Fluid 27(5):1102–1107
Yano T, Nishino K, Kawamura H, Ohnishi M, Ueno I, Matsumoto S, Yoda S, Tanaka T (2010a) 3-D PTV measurement of Marangoni convection in liquid bridge in space experiment. In Proceedings of the 14th international symposium on flow visualization, 21–24 June, Daegu, Korea
Yano T, Nishino K, Kawamura H, Ueno I, Matsumoto S, Ohnishi M, Yoda S (2010b) 3-D flow measurement of oscillatory thermocapillary convection in liquid bridge in MEIS. Submitted to the J Japan Soc Microgravity Appl
Acknowledgments
The author would like to thank JAXA and the members of the present space experiments for their assistance to perform this study. The authors also acknowledge that a part of this study was supported by Grant-in Aid for Scientific Research (B#21360101) from the Japan Society for Promotion of Science (JSPS).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yano, T., Nishino, K., Kawamura, H. et al. 3-D PTV measurement of Marangoni convection in liquid bridge in space experiment. Exp Fluids 53, 9–20 (2012). https://doi.org/10.1007/s00348-011-1136-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00348-011-1136-9