2008
DOI: 10.1063/1.2965549
|View full text |Cite
|
Sign up to set email alerts
|

Thermocapillary migration of nondeformable drops

Abstract: In this paper, we present a numerical study on the thermocapillary migration of drops. The NavierStokes 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 p… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

7
32
2

Year Published

2009
2009
2021
2021

Publication Types

Select...
8

Relationship

0
8

Authors

Journals

citations
Cited by 44 publications
(41 citation statements)
references
References 28 publications
7
32
2
Order By: Relevance
“…It is clear that the scaled migration velocity increases slightly with growing Re when Ma is large. This is the same as that when Ma is small [15]. Although Re influences the steady migration velocity slightly, it plays an important role in the evolution of drop migration.…”
Section: The Influence Of Re For Large Masupporting
confidence: 60%
See 1 more Smart Citation
“…It is clear that the scaled migration velocity increases slightly with growing Re when Ma is large. This is the same as that when Ma is small [15]. Although Re influences the steady migration velocity slightly, it plays an important role in the evolution of drop migration.…”
Section: The Influence Of Re For Large Masupporting
confidence: 60%
“…The advantage of the Front-tracking scheme is the more precise determination of the interface position, which is normally 1/100∼1/1000 of the mesh size. In the case of the thermocapillary migration, the Front-tracking results are served as the benchmark solution in this field [15]. Since fluid properties are different between drops and bulk liquid, it is inevitable to come across non-separable elliptic partial differential equation (PDE) in numerical simulations.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, as mentioned above, a much larger value of the capillary number is also adopted here than that in space experiments. According to the findings by Haj-Hariri et al (1997) and Yin et al (2008) in their numerical studies of the thermocapillary migration of liquid drops with or without deformation, the terminal migration velocities may increase with the increase of the Reynolds number, particularly at high Marangoni number, and may decrease with the increase of the capillary number. Thus, the differences may be diminished if these influences are taken into account.…”
Section: Comparison With Space Experimental Datamentioning
confidence: 99%
“…Currently, there are two different probabilities derived from the theories of drop migration with strong nonlinear features. Our theoretical prediction indicates that the scaled drop migration velocities V/V YGB decrease with the increase of Marangoni number (Ma) [28] , whereas the theoretical result from Subramanian research group shows that V/V YGB decreases at first in the smaller Ma region and then sharply increases with the increasing Ma afterward [29] . Therefore, the investigations on the behaviors of drop migration at large Ma in the microgravity condition provoke more attentions.…”
Section: Experiments Of Drop Marangoni Migrationmentioning
confidence: 48%