Abstract

Time-spatial measurements were carried out on the thickness of liquid film falling inside a vertical tube. It was examined how both locations of initiation in waviness and coalescence-separation of waves depend on liquid film Reynolds number. Fractal analysis of time-series signals of liquid film thickness reveals that wavy characteristics of falling film are a deterministic random phenomenon, i.e., a chaos. Comparison between fractal dimension, waviness in falling film and power spectral density of film thickness suggests that waves including higher-frequency components roughly correspond to larger values of the fractal dimension. Two different types of axial variations in fractal dimension and standard deviation of liquid holdup were found. The boundary of these on a map of axial distance vs. film Reynolds number is simply specified by a wave behavior transition film Reynolds number of 200∼350.

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