Unsteady thermocapillary flows and free surface oscillations

Chun Liang Lai, Tian Shiang Yang

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 languageEnglish
Pages (from-to)629-640
Number of pages12
JournalActa Astronautica
Issue number9
Publication statusPublished - 1990 Sept

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering


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