Skip to main content
Log in

Unsteady model of drop Marangoni migration in microgravity

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

The experiments of drop Marangoni migration have been performed by the drop shift facility of short period of 4.5 s, and the drop accelerates gradually to an asymptotic velocity during the free fall. The unsteady and axisymmetric model is developed to study the drop migration for the case of moderate Reynolds numberRe=O(1), and the results are compared with the experimental ones in the present paper. Both numerical and experimental results show that the migration velocity for moderate Reynolds number is several times smaller than that given by the linear YGB theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Young NO, Goldstein JS, Block MJ. The motion of bubbles in a vertical temperature gradient.J Fluid Mechanics, 1959, 6: 350

    Article  MATH  Google Scholar 

  2. Balasubramaniam R, Chai AT. Thermocapillary migration of droplets: An exact solution for small Marangoni numbers.J Colloid and Interface Science, 1987, 119(2): 531–538

    Article  Google Scholar 

  3. Haj-Hariri H, Nadim A, Borhan A. Effects of inertia on the thermocapillary velocity of a drop.J Colloid and Interface Science, 1990, 140(2): 277–286

    Article  Google Scholar 

  4. Unverdi SO, Tryggvason G. A front-tracking method for viscous, in compressible, multifluid flows.J Computational Physics, 1992, 100: 25–37

    Article  MATH  Google Scholar 

  5. Golia C, Viviani A, Cioffi M. Thermocapillary bubble migration in confined medium. IAF-94-J.5.262, 1994

  6. Balasubramaniam R, Lavery JE. Numerical simulation of thermocapillary bubble migration under microgravity for large Reynolds and Marangoni numbers.Numerical Heat Transfer, 1989, 16(2): 175–187

    Google Scholar 

  7. Braum B, Ikier C, Klein H. Thermocapillary migration of droplets in a binary mixture with miscibility gap during liquid/liquid phase separation under reduced gravity.J Colloid and Interface Science, 1993, 159(2): 515–516

    Article  Google Scholar 

  8. Wozniak G. On the thermocapillary motion of droplets under reduced gravity.J Colloid and Interface Science, 1991, 141: 245–254

    Article  Google Scholar 

  9. Geng RH, Ao C, Hu WR. Asymmetric drop Marangoni migration of larger Reynolds numbers.Acta Astronautica, 1998, 41: 757

    Article  Google Scholar 

  10. Xie JC, Lin H, Han JH, et al. Drop migration of middle Reynolds numbers in a vertical temperature gradient.Microgravity Science and Tech, 1996, 9: 95

    Google Scholar 

  11. Xie JC, Lin H, Han JH, et al. Drop shaft experiments on Marangoni drop migrations for intermediate Reynolds numbers. In: Avduyevsky VS, Polezhaev VI, eds. Proc of Joint 9th European and 6th Russia Symposium on Physical Science in Microgravity. 1998. 189∼195

  12. Xie JC, Lin H, Han JH et al., Experimental investigation on Marangoni drop migrations using drop shaft facility.International J Heat & Mass Transfer, 1998, 41(14): 2077–2081

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The project supported by the National Natural Science Foundation (19789201) and the Ministry of Science and Technology of China (95-Yu-34)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ronghui, G., Wenrui, H., Youlan, J. et al. Unsteady model of drop Marangoni migration in microgravity. Acta Mech Sinica 18, 227–234 (2002). https://doi.org/10.1007/BF02487950

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02487950

Key Words

Navigation