Propagation Characteristics of Pressure Wave through Gas-Liquid Plug-Train System : 2nd Report, Frequency Response

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Frequency characteristics of a plug-train system for infinitesimal sinusoidal waves are investigated experimentally by using an air-water system at rest in a pipe and theoretically by proposing a one-dimensional linear model. The characteristics are found similar to those of a bandpass filter. A high frequency cutoff occurs owing to the inertia of liquid plug and the compressibility of gaseous plug. The cutoff frequency increases with a decrement of plug length and a difference from 0.5 in void fraction. The low frequency cut off is due to the surface tension of liquid and the inertia of liquid plug. The cutoff frequency increases as the plug number increases and the liquid plug length decreases. The phase velocity of wave agrees with the analytical prediction based on the liquid inertia and the gaseous compressibility within the passband except in the neighbourhood of low frequency cutoff frequency.
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