Journal of Shanghai University(Natural Science Edition) ›› 2014, Vol. 20 ›› Issue (2): 214-220.doi: 10.3969/j.issn.1007-2861.2013.07.009

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Spectral Characteristics of the Liquid Falling Film Along the Inclined Sinusoidal Wall at Low Reynolds Number

HUANG Xiao-long, HU Guo-hui   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Online:2014-04-26 Published:2014-04-26

Abstract: Unsteady film flow along an inclined corrugated wall behaves a variety of complex features. By utilizing volume of fluid (VOF) method to capture the evolution of free surfaces, the liquid falling film along the inclined sinusoidal wall for the different applied frequencies of the periodic disturbance is simulated numerically to study the spatial evolution of the waves. Results obtained indicate that the evolution of the surface wave is dominated by the interaction of the traveling wave induced by the disturbance applied at the inlet and static wave determined by the wall structure. With the application of synchrosqueezing wavelet transforms, the spatial frequency spectrum of the surface wave is analyzed, and the influences of the wall structure on the wave numbers of traveling waves are studied, as well as the dynamical behavior of both traveling wave and static wave.

Key words: film flow, sinusoidal corrugated wall, surface waves, syn- chrosqueezing wavelet transforms, traveling wave

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