Periodic points for two-dimensional Stokes flow in a rectangular cavity

V.V. Meleshko, G.W.M. Peters

Research output: Contribution to journalArticleAcademicpeer-review

31 Citations (Scopus)

Abstract

The locations of periodic points for Stokes flow in a rectangular cavity is studied. Discontinuous and sinusoidal corotating periodic motions of the top and bottom walls are considered. An effective algorithm for one-dimensional search based on the use of symmetry conditions of the flow is proposed for both cases. It permits one to find and classify all periodic points of low-order periodicity. Specific features of the bifurcation diagrams are noticed. Two typical examples of flow with the dye blob situated around an elliptic or a hyperbolic periodic point show a striking difference in mixing properties.
Original languageEnglish
Pages (from-to)87-96
JournalPhysics Letters A
Volume216
Issue number1-5
DOIs
Publication statusPublished - 1996

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