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, H. A.
PY - 1992
Y1 - 1992
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.
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U2 - 10.1007/978-94-011-2872-8_2
DO - 10.1007/978-94-011-2872-8_2
M3 - Conference contribution
AN - SCOPUS:0027001590
SN - 1851667822
SN - 9781851667826
T3 - International Conference on Boundary Element Technology
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 -