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薄膜沿加热平板下落的稳定性分布
引用本文:胡军,胡国辉,孙德军,尹协远.薄膜沿加热平板下落的稳定性分布[J].上海力学,2003,24(1):23-29.
作者姓名:胡军  胡国辉  孙德军  尹协远
作者单位:[1]中国科学技术大学力学和机械工程系,合肥230026 [2]上海大学,上海200072
基金项目:国家自然科学基金委资助项目(批准号10002018)
摘    要:本文分析了薄膜沿加热平板下落的稳定性。在时间模式下,发现流动的不稳定性是由表面波不稳定和加毛细不稳定构成的,同时当流体的热扩散越大以及界面热量损失越小时,热毛细不稳定越剧烈,在时空模式下,流动随着Marangoni数的增大。流动有可能从对流不稳定过渡到绝对不稳定,这一结论尚待实验验证。

关 键 词:薄膜  热毛细不稳定性  绝对/对流不稳定
修稿时间:2002年7月1日

Instability of a Falling Thin Film along Inclined Heated Plate
HU Jun,HU Guo-hui,SUN De-jun,YIN Xie-yuan.Instability of a Falling Thin Film along Inclined Heated Plate[J].Chinese Quarterly Mechanics,2003,24(1):23-29.
Authors:HU Jun  HU Guo-hui  SUN De-jun  YIN Xie-yuan
Abstract:The instability of a falling thin film down an inclined heated plate was aualyzed. It was found there are two unstable modes of disturbances for thin film instabilities, i.e. surface wave instability and thermo-capillary instability. For the temporal mode, the larger heat diffusion of the flow and the less loss of the surface heat lead to more severe thermo-capillary instability. For the spatio-temporal mode, with Marangoni number increasing, the flow instability changes from the convective instability to absolute instability. This result needs to be verified by experiments.
Keywords:falling thin film  thermo-capillary instability  absolute/convective instability
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