Nonlinear Stability Analysis of the Thin Micropolar Liquid Film Flowing Down on a Vertical Cylinder

Po Jen Cheng, Cha'O Kuang Chen, Steven Hsin-Yi Lai

研究成果: Review article同行評審

23 引文 斯高帕斯(Scopus)

摘要

This paper investigates the weakly nonlinear stability theory of a thin micropolar 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 subcritical instability and supercritical stability conditions are possible to occur in a micropolar 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 micropolar parameter K(=κ/μ) and increasing the radius of the cylinder the film flow can become relatively more stable traveling down along the vertical cylinder.

原文English
頁(從 - 到)411-421
頁數11
期刊Journal of Fluids Engineering, Transactions of the ASME
123
發行號2
DOIs
出版狀態Published - 2001 12月 1

All Science Journal Classification (ASJC) codes

  • 機械工業

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