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.
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Young NO, Goldstein JS, Block MJ. The motion of bubbles in a vertical temperature gradient.J Fluid Mechanics, 1959, 6: 350
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
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
Unverdi SO, Tryggvason G. A front-tracking method for viscous, in compressible, multifluid flows.J Computational Physics, 1992, 100: 25–37
Golia C, Viviani A, Cioffi M. Thermocapillary bubble migration in confined medium. IAF-94-J.5.262, 1994
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
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
Wozniak G. On the thermocapillary motion of droplets under reduced gravity.J Colloid and Interface Science, 1991, 141: 245–254
Geng RH, Ao C, Hu WR. Asymmetric drop Marangoni migration of larger Reynolds numbers.Acta Astronautica, 1998, 41: 757
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
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
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
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The project supported by the National Natural Science Foundation (19789201) and the Ministry of Science and Technology of China (95-Yu-34)
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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
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DOI: https://doi.org/10.1007/BF02487950