Azimuthal instability of divergent flows

Vladimir Shtern, Fazle Hussain

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We investigate a new mechanism for instability (named divergent instability), characterized by the formation of azimuthal cells, and find it to be a generic feature of three-dimensional steady axisymmetric flows of viscous incompressible fluid with radially diverging streamlines near a planar or conical surface. Four such flows are considered here: i) Squire-Wang flow in a half-space driven by surface stresses; ii) recirculation of fluid inside a concial meniscus; iii) two-cell regime of free convection above a rigid cone; and iv) Marangoni convection in a half-space induced by a point source of heat (or surfactant) placed at the liquid surface. For all these cases, bifurcation of the secondary steady solutions occurs. (from Authors)

Original languageEnglish (US)
Pages (from-to)535-560
Number of pages26
JournalJournal of Fluid Mechanics
Issue number4
StatePublished - Jan 1 1993

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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