D-212 気泡流中の線形波動に及ぼす液相圧縮性の影響

概要

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The influence of liquid compressibility on linear wave propagation in a bubbly liquid is theoretically investigated using a two-fluid and three-pressure model of averaged equations where the viscosity and Reynolds stress of each phase and the phase change at the interface are neglected. The linear dispersion relation, the phase velocity and the group velocity are derived from the system of governing equations. The analysis of the linear dispersion relation shows that there exist two modes of wave motions for all wavenumbers. The first mode corresponds to the well-known pressure wave in isothermal equilibrium conditions, and the second one is brought about from the compressibility of liquid. The resulting phase and group velocities are compared with the Van Wijngaarden's results and the classical isothermal equilibrium sound velocity.
日本流体力学会の論文
2003-07-28