Abstract
The unsteady thermocapillary flow and the free surface variation in a two-dimensional, thin liquid layer are investigated theoretically. The temperature is fixed at one end and sinusoidally varied at the other. By employing sine series expansions, the asymptotically oscillatory solutions of the u-velocity distribution and the free surface deformation are solved exactly. It is found that there exists an inversely proportional relation between τu, the u-velocity time scale and τs, the free-surface variation time scale, when the free surface has a maximum oscillation. Near the maximum oscillation conditions, the u-velocity may assume a uni-directional distribution across the layer depth. Furthermore, the deformation of the free surface becomes smaller when the gravity effect becomes more important.
| Original language | English |
|---|---|
| Pages (from-to) | 629-640 |
| Number of pages | 12 |
| Journal | Acta Astronautica |
| Volume | 21 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 1990 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Aerospace Engineering
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Unsteady thermocapillary flows and free surface oscillations. / Lai, Chun Liang; Yang, Tian-Shiang.
In: Acta Astronautica, Vol. 21, No. 9, 01.01.1990, p. 629-640.Research output: Contribution to journal › Article
TY - JOUR
T1 - Unsteady thermocapillary flows and free surface oscillations
AU - Lai, Chun Liang
AU - Yang, Tian-Shiang
PY - 1990/1/1
Y1 - 1990/1/1
N2 - The unsteady thermocapillary flow and the free surface variation in a two-dimensional, thin liquid layer are investigated theoretically. The temperature is fixed at one end and sinusoidally varied at the other. By employing sine series expansions, the asymptotically oscillatory solutions of the u-velocity distribution and the free surface deformation are solved exactly. It is found that there exists an inversely proportional relation between τu, the u-velocity time scale and τs, the free-surface variation time scale, when the free surface has a maximum oscillation. Near the maximum oscillation conditions, the u-velocity may assume a uni-directional distribution across the layer depth. Furthermore, the deformation of the free surface becomes smaller when the gravity effect becomes more important.
AB - The unsteady thermocapillary flow and the free surface variation in a two-dimensional, thin liquid layer are investigated theoretically. The temperature is fixed at one end and sinusoidally varied at the other. By employing sine series expansions, the asymptotically oscillatory solutions of the u-velocity distribution and the free surface deformation are solved exactly. It is found that there exists an inversely proportional relation between τu, the u-velocity time scale and τs, the free-surface variation time scale, when the free surface has a maximum oscillation. Near the maximum oscillation conditions, the u-velocity may assume a uni-directional distribution across the layer depth. Furthermore, the deformation of the free surface becomes smaller when the gravity effect becomes more important.
UR - http://www.scopus.com/inward/record.url?scp=38249016630&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=38249016630&partnerID=8YFLogxK
U2 - 10.1016/0094-5765(90)90074-U
DO - 10.1016/0094-5765(90)90074-U
M3 - Article
AN - SCOPUS:38249016630
VL - 21
SP - 629
EP - 640
JO - Acta Astronautica
JF - Acta Astronautica
SN - 0094-5765
IS - 9
ER -