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

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Title: Linear Analysis of Dispersive Waves in Bubbly Flows Based on Averaged Equations
Authors: Yano, Takeru Browse this author
Egashira, Ryu Browse this author
Fujikawa, Shigeo Browse this author →KAKEN DB
Keywords: linear dispersive wave
averaged equations
bubbly flow
bubble dynamics
void wave
Issue Date: Oct-2006
Publisher: The Physical Society of Japan
Journal Title: Journal of the Physical Society of Japan
Volume: 75
Issue: 10
Start Page: 104401
Publisher DOI: 10.1143/JPSJ.75.104401
Abstract: 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.
Rights: Copyright © 2006 The Physical Society of Japan
http://jpsj.ipap.jp/link?JPSJ/75/104401/
Type: article (author version)
URI: http://hdl.handle.net/2115/16871
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 矢野 猛

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