open access

https://hdl.handle.net/2115/16871

Linear Analysis of Dispersive Waves in Bubbly Flows Based on Averaged Equations

英語

void wave

2006-10

The Physical Society of Japan

Journal of the Physical Society of Japan

75(10)

104401

One-dimensional linear dispersive waves in water flows containing a number of small spherical air bubbles are analytically studied on the basis of a set of averaged equations recently derived by the present authors. The set of equations consists of the conservation laws for gas and liquid phases and the equation of motion of bubble wall. In addition to the volume-averaged pressure in each phase, the surface-averaged liquid pressure at the bubble wall is incorporated. The compressibility of water is taken into account as well as that of gas in bubbles, and a model of virtual mass force is included, although the Reynolds stress, viscosity, heat conductivity, and the phase change across the bubble wall are disregarded. The results are summarized as follows: (i) the waves are decomposed into the fast mode, slow mode, and convection mode (void wave). (ii) In the uniform flows, the three modes stably exist for all real wave numbers. (iii) In the limit of infinitesimal void fraction, the explicit representation of the elementary solution is obtained. (iv) The instability does not appear in the range where the present averaged equations are applicable.

学術雑誌論文

Accepted Manuscript

http://jpsj.ipap.jp/link?JPSJ/75/104401/

Copyright © 2006 The Physical Society of Japan

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