Investigation of the Propagation Velocity of Small Pressure Disturbances in a Gas–Liquid Medium with account for Gas Mass Concentration and Pipeline Wall Deformation
DOI:
https://doi.org/10.71310/pcam.3_73.2026.03Keywords:
small pressure disturbances, gas–liquid medium, flow regimes, gas mass concentration, bubbly flow, wall deformation, pipelineAbstract
This paper investigates how the propagation velocity of small pressure disturbances in a gas–liquid medium varies with the mass concentration of air. Two cases are considered: a rigid pipeline and a pipeline accounting for wall deformation. A “water–air” mixture, in which gas bubbles are present in the liquid, is adopted as the model of the medium. Formulas for the propagation velocity with and without wall deformability are derived in accordance with Hooke’s law. The analysis covers bubbly and emulsion flow regimes at low mass concentrations of the phases. Analytical dependences of the velocity on the mass concentration of air are obtained and analyzed graphically. It is shown that even small gas concentrations markedly reduce the wave propagation velocity, while accounting for wall deformation further decreases the speed of sound.
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