In this paper, we present a numerical study on the thermocapillary migration of drops. The Navier–Stokes equations coupled with the energy conservation equation are solved by the finite-difference front-tracking scheme. The axisymmetric model is adopted in our simulations, and the drops are assumed to be perfectly spherical and nondeformable. The benchmark simulation starts from the classical initial condition with a uniform temperature gradient. The detailed discussions and physical explanations of migration phenomena are presented for the different values of (1) the Marangoni numbers and Reynolds numbers of continuous phases and drops and (2) the ratios of drop densities and specific heats to those of continuous phases. It is found that fairly large Marangoni numbers may lead to fluctuations in drop velocities at the beginning part of simulations. Finally, we also discuss the influence of initial conditions on the thermocapillary migrations.
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August 2008
Research Article|
August 07 2008
Thermocapillary migration of nondeformable drops
Z. Yin;
Z. Yin
a)
1National Microgravity Laboratory, Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100190, People’s Republic of China
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P. Gao;
P. Gao
b)
2Department of Building Science, School of Architecture,
Tsinghua University
, Beijing 100084, People’s Republic of China
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W. Hu;
W. Hu
c)
1National Microgravity Laboratory, Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100190, People’s Republic of China
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Physics of Fluids 20, 082101 (2008)
Article history
Received:
January 31 2008
Accepted:
July 01 2008
Citation
Z. Yin, P. Gao, W. Hu, L. Chang; Thermocapillary migration of nondeformable drops. Physics of Fluids 1 August 2008; 20 (8): 082101. https://doi.org/10.1063/1.2965549
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