## 摘要

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 τ_{u}, the u-velocity time scale and τ_{s}, 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.

原文 | English |
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頁（從 - 到） | 629-640 |

頁數 | 12 |

期刊 | Acta Astronautica |

卷 | 21 |

發行號 | 9 |

DOIs | |

出版狀態 | Published - 1990 一月 1 |

## All Science Journal Classification (ASJC) codes

- 航空工程