Topology transitions and singularities in viscous flows

Raymond E. Goldstein, Adriana I. Pesci, Michael Shelley

Research output: Contribution to journalArticle

Abstract

Topological reconfigurations of the boundaries of thin fluid layers in Hele-Shaw flow are studied. A systematic treatment of the dynamics of the bounding interfaces is developed through an expansion in the aspect ratio of the layer, yielding nonlinear partial differential equations for the local thickness. For both density-stratified fluid layers and gravity-driven jets, numerical study of the dynamics at second order suggests strrongly the collision of the interfaces in finite time. There are associated singularities both in the fluid velocity and in geometric properties of the interfaces.

Original languageEnglish (US)
Pages (from-to)3043-3046
Number of pages4
JournalPhysical Review Letters
Volume70
Issue number20
DOIs
StatePublished - 1993

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viscous flow
topology
fluids
partial differential equations
aspect ratio
gravitation
collisions
expansion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Topology transitions and singularities in viscous flows. / Goldstein, Raymond E.; Pesci, Adriana I.; Shelley, Michael.

In: Physical Review Letters, Vol. 70, No. 20, 1993, p. 3043-3046.

Research output: Contribution to journalArticle

Goldstein, RE, Pesci, AI & Shelley, M 1993, 'Topology transitions and singularities in viscous flows', Physical Review Letters, vol. 70, no. 20, pp. 3043-3046. https://doi.org/10.1103/PhysRevLett.70.3043
Goldstein, Raymond E. ; Pesci, Adriana I. ; Shelley, Michael. / Topology transitions and singularities in viscous flows. In: Physical Review Letters. 1993 ; Vol. 70, No. 20. pp. 3043-3046.
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