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Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers
Wu ZB(武作兵); Hu WR(胡文瑞); wuzb@lnm.imech.ac.cn
Source PublicationActa Mechanica
2012
Volume223Issue:3Pages:609-626
ISSN0001-5970
Abstract

Thermocapillary migration of a planar non-deformable droplet in flow fields with two uniform temperature gradients at moderate and large Marangoni numbers is studied numerically by using the front-tracking method. It is observed that the thermocapillary motion of planar droplets in the uniform temperature gradients is steady at moderate Marangoni numbers, but unsteady at large Marangoni numbers. The instantaneous migration velocity at a fixed migration distance decreases with increasing Marangoni numbers. The simulation results of the thermocapillary droplet migration at large Marangoni numbers are found in qualitative agreement with those of experimental investigations. Moreover, the results concerned with steady and unsteady migration processes are further confirmed by comparing the variations of temperature fields inside and outside the droplet. It is evident that at large Marangoni numbers the weak transport of thermal energy from outside of the droplet into inside cannot satisfy the condition of a steady migration process, which implies that the advection around the droplet is a more significant mechanism for heat transfer across/around the droplet at large Ma numbers. Furthermore, from the condition of overall steady-state energy balance in the flow domain, the thermal flux across its surface is studied for a steady thermocapillary droplet migration in a flow field with uniform temperature gradient. By using the asymptotic expansion method, a non-conservative integral thermal flux across the surface is identified in the steady thermocapillary droplet migration at large Marangoni numbers. This non-conservative flux may well result from the invalid assumption of a quasi-steady state, which indicates that the thermocapillary droplet migration at large Marangoni numbers cannot reach a steady state and is thus an unsteady process.

Subject Area流体力学
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000302239100012
DepartmentLNM微纳米流体力学
Classification二类
Citation statistics
Cited Times:24[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45853
Collection非线性力学国家重点实验室
微重力重点实验室
Corresponding Authorwuzb@lnm.imech.ac.cn
Recommended Citation
GB/T 7714
Wu ZB,Hu WR,wuzb@lnm.imech.ac.cn. Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers[J]. Acta Mechanica,2012,223,3,:609-626.
APA Wu ZB,Hu WR,&wuzb@lnm.imech.ac.cn.(2012).Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers.Acta Mechanica,223(3),609-626.
MLA Wu ZB,et al."Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers".Acta Mechanica 223.3(2012):609-626.
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