Nonlinear stability analysis of thin viscoelastic film flow traveling down along a vertical cylinder

Po Jen Cheng, Cha’o Kuang Chen, Hsin Yi Lai

研究成果: Article同行評審

22 引文 斯高帕斯(Scopus)

摘要

This paper investigates the weakly nonlinear stability theory of a thin viscoelastic liquid film flowing down along the outside surface of a vertical cylinder. The long-wave perturbation method is employed to solve for generalized nonlinear kinematic equations with free film interface. The normal mode approach is first used to compute the linear stability solution for the film flow. The method of multiple scales is then used to obtain the weak nonlinear dynamics of the film flow for stability analysis. The modeling results indicate that both the subcritical instability and supercritical stability conditions are possible to occur in a viscoelastic film flow system. The degree of instability in the film flow is further intensified by the lateral curvature of cylinder. This is somewhat different from that of the planar flow. The modeling results also indicate that by increasing the viscoelastic effect and decreasing the radius of the cylinder the film flow can become less stable as traveling down along the vertical cylinder.

原文English
文章編號275252
頁(從 - 到)305-332
頁數28
期刊Nonlinear Dynamics
24
發行號3
DOIs
出版狀態Published - 2001

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 航空工程
  • 海洋工程
  • 機械工業
  • 應用數學
  • 電氣與電子工程

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