Boundary integral methods for viscous free-boundary problems: deformation of single and multiple fluid-fluid interfaces

J. Tanzosh; M. Manga; Howard A. Stone

Boundary integral methods for viscous free-boundary problems: deformation of single and multiple fluid-fluid interfaces

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This article reviews the application of boundary integral methods to low Reynolds number free-boundary flows. The basic equations are developed for three prototypical problems: (i) a drop in an unbounded fluid, (ii) a rigid sphere translating towards a fluid-fluid interface, and (iii) a drop moving through an interface. The interfacial velocity field is expressed as a Fredholm integral equation of the second kind, where the integration domain is the deforming interface. This velocity coupled with the kinematic condition determines the interface evolution. A brief discussion is given of the numerical treatment of the equations, and an illustration is given of time-dependent deformation for several two-interface problems. An extensive literature review is provided.

Original language	English (US)
Title of host publication	International Conference on Boundary Element Technology
Publisher	Publ by Computational Mechanics Publ
Pages	20-39
Number of pages	20
ISBN (Print)	1851667822
State	Published - Dec 1 1992
Externally published	Yes
Event	Seventh International Conference on Boundary Element Technology - BETECH 92 - Albuquerque, NM, USA Duration: Jun 1 1992 → Jun 1 1992

Other

Other	Seventh International Conference on Boundary Element Technology - BETECH 92
City	Albuquerque, NM, USA
Period	6/1/92 → 6/1/92

All Science Journal Classification (ASJC) codes

Engineering(all)

Cite this

@inproceedings{d3fcdcc45a6b41b3a6e96a82ce7af517,

title = "Boundary integral methods for viscous free-boundary problems: deformation of single and multiple fluid-fluid interfaces",

abstract = "This article reviews the application of boundary integral methods to low Reynolds number free-boundary flows. The basic equations are developed for three prototypical problems: (i) a drop in an unbounded fluid, (ii) a rigid sphere translating towards a fluid-fluid interface, and (iii) a drop moving through an interface. The interfacial velocity field is expressed as a Fredholm integral equation of the second kind, where the integration domain is the deforming interface. This velocity coupled with the kinematic condition determines the interface evolution. A brief discussion is given of the numerical treatment of the equations, and an illustration is given of time-dependent deformation for several two-interface problems. An extensive literature review is provided.",

author = "J. Tanzosh and M. Manga and Stone, {Howard A.}",

year = "1992",

month = dec,

day = "1",

language = "English (US)",

isbn = "1851667822",

pages = "20--39",

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publisher = "Publ by Computational Mechanics Publ",

note = "Seventh International Conference on Boundary Element Technology - BETECH 92 ; Conference date: 01-06-1992 Through 01-06-1992",

}

Tanzosh, J, Manga, M & Stone, HA 1992, Boundary integral methods for viscous free-boundary problems: deformation of single and multiple fluid-fluid interfaces. in International Conference on Boundary Element Technology. Publ by Computational Mechanics Publ, pp. 20-39, Seventh International Conference on Boundary Element Technology - BETECH 92, Albuquerque, NM, USA, 6/1/92.

TY - GEN

T1 - Boundary integral methods for viscous free-boundary problems

T2 - Seventh International Conference on Boundary Element Technology - BETECH 92

AU - Tanzosh, J.

AU - Manga, M.

AU - Stone, Howard A.

PY - 1992/12/1

Y1 - 1992/12/1

N2 - This article reviews the application of boundary integral methods to low Reynolds number free-boundary flows. The basic equations are developed for three prototypical problems: (i) a drop in an unbounded fluid, (ii) a rigid sphere translating towards a fluid-fluid interface, and (iii) a drop moving through an interface. The interfacial velocity field is expressed as a Fredholm integral equation of the second kind, where the integration domain is the deforming interface. This velocity coupled with the kinematic condition determines the interface evolution. A brief discussion is given of the numerical treatment of the equations, and an illustration is given of time-dependent deformation for several two-interface problems. An extensive literature review is provided.

AB - This article reviews the application of boundary integral methods to low Reynolds number free-boundary flows. The basic equations are developed for three prototypical problems: (i) a drop in an unbounded fluid, (ii) a rigid sphere translating towards a fluid-fluid interface, and (iii) a drop moving through an interface. The interfacial velocity field is expressed as a Fredholm integral equation of the second kind, where the integration domain is the deforming interface. This velocity coupled with the kinematic condition determines the interface evolution. A brief discussion is given of the numerical treatment of the equations, and an illustration is given of time-dependent deformation for several two-interface problems. An extensive literature review is provided.

UR - http://www.scopus.com/inward/record.url?scp=0027001590&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027001590&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0027001590

SN - 1851667822

SP - 20

EP - 39

BT - International Conference on Boundary Element Technology

PB - Publ by Computational Mechanics Publ

Y2 - 1 June 1992 through 1 June 1992

ER -

Boundary integral methods for viscous free-boundary problems: deformation of single and multiple fluid-fluid interfaces

Abstract

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