Anomalous sound and low-frequency instability in an incompressible viscous liquid with bubbles of soluble gas

A form of instability in a liquid containing bubbles of soluble gas caused by the unbalanced supply of energy to the two-phase medium as a result of the redissolving of the gas atoms in the liquid is investigated. The presence of a phase transition [6] due to the gas atoms being redissolved in the carrier medium leads to the appearance of essentially new effects in the viscous liquid: undamped sound waves, anomalies in the phase velocity of the sound and low-frequency instabilities. These effects are investigated on the basis of the equation of state of a two-phase medium (liquid with bubbles of soluble gas) obtained in [7], which takes into account the kinetics of mass and energy transfer between the phases.