CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2006, Vol. 23 ›› Issue (1): 57-60.

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Numerical Simulations of a Falling Liquid Film on an Oscillating Inclined Plane

HU Guo-hui1, HU Jun2, Yin Xie-yuan2   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    2. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
  • Received:2004-10-21 Revised:2005-02-06 Online:2006-01-25 Published:2006-01-25

Abstract: The flow of a falling liquid film on an oscillating inclined plane is simulated numerically with Galerkin finite element method. The effects of oscillating frequency and initial perturbation frequency are investigated. A low-frequency modulation signal is observed in the flow field. Nonlinear effect of the low-frequency signal in the flow field promotes the coalescence of waves on a free surface, and accelerates the development of the waves. For higher oscillating frequencies, this effect is more apparent. A solitary hump is observed in the flow.

Key words: liquid film flow, Galerkin finite element method, free surface

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