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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

17 Scopus citations

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 languageEnglish (US)
Title of host publicationInternational Conference on Boundary Element Technology
PublisherPubl by Computational Mechanics Publ
Pages20-39
Number of pages20
ISBN (Print)1851667822
StatePublished - Dec 1 1992
Externally publishedYes
EventSeventh International Conference on Boundary Element Technology - BETECH 92 - Albuquerque, NM, USA
Duration: Jun 1 1992Jun 1 1992

Other

OtherSeventh International Conference on Boundary Element Technology - BETECH 92
CityAlbuquerque, NM, USA
Period6/1/926/1/92

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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