Experimental and Theoretical Study of Solitary-like Wave Dynamics of Liquid Film Flows over a Vibrated Inclined Plane

TL;DR

This study combines experimental and theoretical approaches to analyze how low-frequency vibrations influence solitary-like surface waves in liquid films on inclined planes, revealing their robustness and potential for vibration-resistant information transmission.

Contribution

It provides the first combined experimental and theoretical analysis of vibrated liquid film waves, showing vibration effects on wave amplitude and propagation.

Findings

Vibration decreases wave amplitude but not speed.

Waves can propagate over long distances with minimal amplitude change.

Potential for vibration-resistant information transmission applications.

Abstract

Solitary-like surface waves that originate from the spatio-temporal evolution of falling liquid films have been the subject of theoretical and experimental research due to their unique properties that are not readily observed in the physical system of other nature. Here we investigate, experimentally and theoretically, the dynamics of solitary-like surface waves in a liquid layer on an inclined plane that is subjected to a harmonic low-frequency vibration in the range from 30 to 50 Hz. We demonstrate that the vibration results in a decrease in the average and peak amplitude of the long solitary-like surface waves. However, the speed of these waves remains largely unaffected by the vibration, implying that they may propagate over large distances almost without changing their amplitude, thus rendering them suitable for a number of practical applications, where the immunity of pulses that carry information to external vibrations is required.