Finite amplitude long-wave instability of power-law liquid films

Jenn Sen Lin, Chi-Chuan Hwang

研究成果: Article同行評審

20 引文 斯高帕斯(Scopus)

摘要

This paper investigates the non-linear long-wave stability of power-law liquid films flow down an inclined plane. The method of long-wave theory is first used to derive a non-linear evolution equation of film thickness. After linearizing the non-linear evolution equation, the method of normal mode is applied to study its linear stability. Then the method of perturbation with multiple scales is used to solve this non-linear equation. The results reveal that the system will be more unstable when power-law exponent n decreases. Near the neutral stable state, the subcritical instability and explosive solution are possible at small n, and the supercritical and unconditional stable region exist only when n exceeds a certain value. Also, decreasing the magnitude of n will increase the dimensional wave speed of the unstable mode.

原文English
頁(從 - 到)769-777
頁數9
期刊International Journal of Non-Linear Mechanics
35
發行號5
DOIs
出版狀態Published - 2000 一月 1

All Science Journal Classification (ASJC) codes

  • 材料力學
  • 機械工業
  • 應用數學

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