Slow translation, rotation or oscillation of a disk in a rotating fluid: Effect of a plane wall or another disk

A. M.J. Davis, Howard A. Stone

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

The steady axial translation and rotation of a circular disk in a rotating viscous fluid is examined as a f is tion of the Taylor number. Both the effect of a second nearby disk and the presence of a plane upper boundary are studied for a wide range of separation distances. A compact solution procedure, based upon a dual integral equation approach, is outlined and also applied to the study of oscillatory disk motion in a rotating fluid. The effects of a wall or a second particle provide insight into multiparticle interactions in rotating fluid systems, which have not received a systematic treatment to date.

Original languageEnglish (US)
Pages (from-to)X1-513
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume51
Issue number4
DOIs
StatePublished - 1998

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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