Wave propagation in bubbly liquids at finite volume fraction

Russel E. Caflisch; Michael J. Miksis

doi:10.1017/S0022112085003354

Wave propagation in bubbly liquids at finite volume fraction

Russel E. Caflisch, Michael J. Miksis

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We derive effective equations for wave propagation in a bubbly liquid in a linearized low-frequency regime by a multiple-scale method. The effective equations are valid for finite volume fraction. For periodic bubble configurations, effective equations uniformly valid for small volume fraction are obtained. We compare the results to the ones obtained in a previous paper (Caflisch et al. 1985) for a nonlinear theory at small volume fraction.

Original language	English (US)
Pages (from-to)	1-14
Number of pages	14
Journal	Journal of Fluid Mechanics
Volume	160
DOIs	https://doi.org/10.1017/S0022112085003354
State	Published - Nov 1985

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1017/S0022112085003354

Cite this

@article{364f42f0f4974576a24eafa0dd8d9e21,

title = "Wave propagation in bubbly liquids at finite volume fraction",

abstract = "We derive effective equations for wave propagation in a bubbly liquid in a linearized low-frequency regime by a multiple-scale method. The effective equations are valid for finite volume fraction. For periodic bubble configurations, effective equations uniformly valid for small volume fraction are obtained. We compare the results to the ones obtained in a previous paper (Caflisch et al. 1985) for a nonlinear theory at small volume fraction.",

author = "Caflisch, {Russel E.} and Miksis, {Michael J.}",

year = "1985",

month = nov,

doi = "10.1017/S0022112085003354",

language = "English (US)",

volume = "160",

pages = "1--14",

journal = "Journal of Fluid Mechanics",

issn = "0022-1120",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Wave propagation in bubbly liquids at finite volume fraction

AU - Caflisch, Russel E.

AU - Miksis, Michael J.

PY - 1985/11

Y1 - 1985/11

N2 - We derive effective equations for wave propagation in a bubbly liquid in a linearized low-frequency regime by a multiple-scale method. The effective equations are valid for finite volume fraction. For periodic bubble configurations, effective equations uniformly valid for small volume fraction are obtained. We compare the results to the ones obtained in a previous paper (Caflisch et al. 1985) for a nonlinear theory at small volume fraction.

AB - We derive effective equations for wave propagation in a bubbly liquid in a linearized low-frequency regime by a multiple-scale method. The effective equations are valid for finite volume fraction. For periodic bubble configurations, effective equations uniformly valid for small volume fraction are obtained. We compare the results to the ones obtained in a previous paper (Caflisch et al. 1985) for a nonlinear theory at small volume fraction.

UR - http://www.scopus.com/inward/record.url?scp=0022151029&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022151029&partnerID=8YFLogxK

U2 - 10.1017/S0022112085003354

DO - 10.1017/S0022112085003354

M3 - Article

AN - SCOPUS:0022151029

SN - 0022-1120

VL - 160

SP - 1

EP - 14

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Wave propagation in bubbly liquids at finite volume fraction

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this