Multiphase Science and Technology A Quarterly

ISSN for PRINT: 0276-1459

For Online Access

Best Paper Award Selection - Editorial Board Site

2005, Volume17

Issue 1-2

190 pages

DOI: 10.1615/MultScienTechn.v17.i1-2

Issue price - $280.00

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

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.

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

Article price - $45.00

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