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 and increasing the radius of the cylinder the film flow can become relatively more stable traveling down along the vertical cylinder.
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June 2001
Technical Papers
Nonlinear Stability Analysis of the Thin Micropolar Liquid Film Flowing Down on a Vertical Cylinder
Po-Jen Cheng, Lecturer,,
Po-Jen Cheng, Lecturer,
Department of Mechanical Engineering, Far-East College, Tainan, Taiwan, R.O.C.
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Cha’o-Kuang Chen, Professor,
Cha’o-Kuang Chen, Professor
Department of Mechanical Engineering, National Cheng-Kung University, Tainan, Taiwan, R.O.C.
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Hsin-Yi Lai, Professor
Hsin-Yi Lai, Professor
Department of Mechanical Engineering, National Cheng-Kung University, Tainan, Taiwan, R.O.C.
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Po-Jen Cheng, Lecturer,
Department of Mechanical Engineering, Far-East College, Tainan, Taiwan, R.O.C.
Cha’o-Kuang Chen, Professor
Department of Mechanical Engineering, National Cheng-Kung University, Tainan, Taiwan, R.O.C.
Hsin-Yi Lai, Professor
Department of Mechanical Engineering, National Cheng-Kung University, Tainan, Taiwan, R.O.C.
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division April 24, 2000; revised manuscript received December 27, 2000. Associate Editor: D. R. Williams.
J. Fluids Eng. Jun 2001, 123(2): 411-421 (11 pages)
Published Online: December 27, 2000
Article history
Received:
April 24, 2000
Revised:
December 27, 2000
Citation
Cheng, P., Chen, C., and Lai, H. (December 27, 2000). "Nonlinear Stability Analysis of the Thin Micropolar Liquid Film Flowing Down on a Vertical Cylinder ." ASME. J. Fluids Eng. June 2001; 123(2): 411–421. https://doi.org/10.1115/1.1359524
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