THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Shuo Yang

,

Guofeng Wang

,

Shanshan Ma

,

Yu Gao

A NEW COGNITION ON OSCILLATORY THERMOCAPILLARY CONVECTION FOR HIGH PRANDTL NUMBER FLUIDS

ABSTRACT
A direct numerical simulations on the oscillatory thermocapillary convection in a non-axisymmetric liquid bridge of high Prandtl number fluids under normal gravity has been conducted by using a new method of mass conserving level set method for capturing any micro-scale migrations of free surface. Against the former studies, the oscillatory behaviors of surface flow (the perturbation of velocity, temperature, and free surface) and flow pattern have been quantitatively investigated simultaneously for the first time. The present results show that the instability of thermocapillary convection originates from the oscillations of velocity, temperature, and free surface at the hot corner. The velocity oscillation responds slowly to the temperature oscillation, which are opposite in transfer direction for each other, resulting in the free surface oscillation. The oscillatory thermocapillary convection in the liquid bridge is eventually ex-cited by the coupling effects of these three kinds of oscillations, which discloses clearly the oscillatory mechanism of thermocapillary convection for high Prandtl number fluids.
KEYWORDS
oscillatory thermocapillary convection, liquid bridge, free surface
PAPER SUBMITTED: 2020-03-24
PAPER REVISED: 2020-08-28
PAPER ACCEPTED: 2020-08-08
PUBLISHED ONLINE: 2020-09-06
DOI REFERENCE: https://doi.org/10.2298/TSCI200324234Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 6, PAGES [4761 - 4772]
REFERENCES
  1. Chun C. H., Wuest, W., Correlation of Oscillations of Flow and Temperature in Floating Zone under Microgravity, Advances in Space Research, 1(1981), 5, pp. 17-20.
  2. Schwabe, D., et al., Experiments on Surface Tension Driven Flow in Floating Zone Melting, Journal of Crystal Growth, 43(1978), 3, pp. 305-312.
  3. Schwabe, D., Scharmann, A., Some Evidence for the Existence and Magnitude of a Critical Marangoni Number for the Onset of Oscillatory Flow in Crystal Growth Metals, Journal of Crystal Growth, 46(1979), 1, pp. 125-131.
  4. Petrov, V., et al., Nonlinear Control of Remote Unstable States in a Liquid Bridge Convection Experiment, Physical Review Letters, 77(1996), 18, pp. 3779-3782.
  5. Shevtsova, V., et al., New Flow Regimes Generated by Mode Coupling in Buoyant-Thermocapillary Convection, Physical Review Letters, 102 (2009), 13, pp. 134503.
  6. Minakuchi, H., et al., The Relative Contributions of Thermo-Solutal Marangoni Convections on Flow Patterns in a Liquid Bridge, Journal of Crystal Growth, 385 (2014), pp.61-65.
  7. Takagi, K., et al., Experimental Study on Transition to Oscillatory Thermocapillary Flow in a Low Prandtl Number Liquid Bridge, Journal of Crystal Growth, 233 (2001), pp. 399-407.
  8. Schwabe, D., Frank, S., Experiments on the Transition to Chaotic Thermocapillary Flow in Floating Zones under Microgravity, Advances in Space Research, 24 (1999), 10, pp. 1391-1996.
  9. Sato, F., et al., Hydrothermal Wave Instability in a High-Aspect-Ratio Liquid Bridge of Pr > 200, Microgravity Science and Technology, 25(2013), pp. 43-58.
  10. Schwabe, D., Thermocapillary Liquid Bridges and Marangoni Convection under Microgravity-Results and Lessons Learned, Microgravity Science and Technology, 26(2014), 1, pp. 1-10.
  11. Smith, M. K., Davis, S. H., Instabilities of Dynamic Thermocapillary Liquid Layers. I. Convective Instabilities, Journal of Fluid Mechanics, 132 (1983), pp. 119-144.
  12. Xu, J. J., Davis, S. H., Convective Thermcapilly Instabilities in Liquid Bridges, Physics of Fluids, 27 (1984), pp. 1102-1107.
  13. Shen, Y., et al., Energy Stability of Thermocapillary Convection in a Model of The Float-zone Crystal-growth Process, Journal of Fluid Mechanics, 217(1990), pp. 639-660.
  14. Neitzed, G. P., et al., Energy Stability of Thermocapillary Convection in a Model of the Floatzone Crystal-growth Process. II. Nonaxisymmetric Disturbances, Physics of Fluids, A3(1991), pp. 2841-2846.
  15. Rupp, R., et al., Three-dimensional Time Dependent Modelling of the Marangoni Convection in Zone Melting Configurations for GaAs, Journal of Crystal Growth, 97(1989), pp. 34-41.
  16. Savino, R., Monti, R., Oscillatory Marangoni Convection in Cylindrical Liquid Bridges, Physics of Fluids, 8 (1996), pp. 2906-2922.
  17. Tang, Z. M., Hu W. R., A Simulation Model of a Floating Half Zone, Journal of Crystal Growth, 207 (1998), pp.335-341.
  18. Leypoldt, J., et al., Three-dimensional Numerical Simulation of Thermocapillary Flows In Cylindrical Liquid Bridges, Journal of Fluid Mechanics, 414(2000), pp. 285-314.
  19. Chun, C. H., Verification of Turbulence Developing from the Oscillatory Marangoni Convection in a Liquid Column, Esa Bulletin-European Space Agency. (1984), pp. 271-280.
  20. Smith, M. K., Davis, S. H., Instabilities of Dynamic Thermocapillary Liquid Layers Part 2. Surface-wave Instabilities, Journal of Fluid Mechanics, 132 (1983), pp. 145-162.
  21. Hatsroni, G., et al., Hydrodynamic Resistance of a Fluid Sphere Submerged in Strokes Flows, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, 51(1971), pp. 45-50.
  22. Kamatoni, Y., et al., Analysis of Velocity Data Taken in Surface Tension Driven Convection Experiment in Microgravity, Physics of Fluids, 6 (1994). 11, pp. 3601-3609.
  23. Kamatoni, Y., Ostrach S., Theoretical Analysis of Thermocapillary Flow in Cylindrical Columns Of High Prandtl Number Fluids, Journal of Heat Transfer-Transactions of The Asme, 120 (1998), pp. 758-764.
  24. Kamatoni, Y., Ostrach, S., Oscillatory Thermocapillary Flow in Open Cylindrical Containers Included by CO2 Laser Heating, International Journal of Heat and Mass Transfer, 42(1999), pp. 555 -564.
  25. Wang, A., et al., Oscillatory Thermocapillary Flow in Liquid Bridges of High Prandtl Number Fluid with Free Surface Heat Gain, International Journal of Heat and Mass Transfer, 50 (2007), 21-22, pp. 4195-4205.
  26. Sim, B. C., Zebib, A., Effect of Free Surface Heat Loss and Rotation on Transition to Oscillatory Thermocapillary Convection, Physics of Fluids, 14(2002), 1, pp. 225-231.
  27. Liang, R. Q., et al., Thermocapillary Convection in Floating Zone with Axial Magnetic Fields, Microgravity Science and Technology, 25 (2014), 2, pp. 285-293.
  28. Liang, R. Q., et al.,. Flow Structure and Surface Deformation of High Prandtl Number Fluid under Reduced Gravity and Microgravity, Microgravity Science and Technology, 23 (2011), 1, pp. S113-S121.
  29. Kawaji, M., et al., The Effect of Small Vibrations on Marangoni Convention and The Free Surface of a Liquid Bridge, Acta Astronautica, 58 (2006), pp. 622-632.
  30. Kurzeja, S. P. Holger, S., Variation Formulation of Oscillating Fluid Clusters and Oscillator-like Classification. I. Theory, Physics of Fluids, 26 (2014), pp. 042106.
  31. Kurzeja, S. P., Holger, S., Variation Formulation of Oscillating Fluid Clusters and Oscillator-Like Classification. II. Numerical Study of Pinned Liquid Clusters, Physics of Fluids, 26 (2014), pp. 042107.
  32. Osher, S., Sethian, J. A., Front Propagating With Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulation, Journal of Computational Physics, 79 (1988), 1, pp. 12-49.
  33. Shevtsova, V. M., Legros, J. C., Oscillatory Convective Motion in Deformed Liquid Bridges, Physics of Fluids, 10 (1998), 7, pp. 1621-1634
  34. Zhang, Y., et al., The Effect of Aspect Ratio and Axial Magnetic Field on Thermocapillary Convection in Liquid Bridges with a Deformable Free-Surface, Engineering Applications of Computational Fluid Mechanics, 10 (2015). 1, pp. 16-28.
  35. Zhou X. M., Huai, X. L., Free Surface Deformation of Thermo-solutocapillary Convection in Axisymmetric Liquid Bridge, Microgravity Science and Technology, 27 (2015), pp. 39-47.
PDF VERSION [DOWNLOAD]
A new cognition on oscillatory thermocapillary convection for high Prandtl number fluids

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence