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Multiphase Science and Technology
SJR: 0.124 SNIP: 0.222 CiteScore™: 0.26

ISSN Imprimir: 0276-1459
ISSN En Línea: 1943-6181

Multiphase Science and Technology

DOI: 10.1615/MultScienTechn.v17.i1-2.10
pages 1-21

ANALYSIS OF WAVE PROPAGATION IN A BUBBLY LIQUID BASED ON A TWO-FLUID AND THREE-PRESSURE MODEL

Ryu Egashira
Division of Mechanical Science, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan
Takeru Yano
Division of Mechanical Science, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan
Shigeo Fujikawa
Division of Mechanical Science, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan

SINOPSIS

A new set of space-averaged equations for a mixture of liquid and gas bubbles is derived on the basis of two-fluid and three-pressure model, where a surface-averaged liquid pressure at the gas-liquid interface is introduced as well as volume-averaged pressures and the liquid compressibility is taken into account. To verify the appropriateness of the equations, the propagation of linear wave in a quiescent mixture is studied theoretically and numerically. A fast mode of the wave is generated owing to the liquid compressibility, whilst there only exists a classical slow mode for the special case of incompressible liquid. Since the assumption of incompressibility has been made in general in previous studies, the fast mode has not been investigated in detail. Several important characteristics of the slow and fast modes are clarified. In particular, it is shown that the amplitude of the fast mode is not always small and it becomes prominent for a typical wave number larger than the critical one.