Two-dimensional Stokes flow driven by elliptical paddles | Zendy

Stephen M. Cox | Zendy; Matthew D. Finn | Zendy

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Two-dimensional Stokes flow driven by elliptical paddles

Author(s) -

Stephen M. Cox,

Matthew D. Finn

Publication year - 2007

Publication title -

physics of fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.188

H-Index - 180

eISSN - 1089-7666

pISSN - 1070-6631

DOI - 10.1063/1.2789970

Subject(s) - physics , biharmonic equation , stokes flow , conformal map , rod , flow (mathematics) , computation , mechanics , streamlines, streaklines, and pathlines , domain (mathematical analysis) , navier–stokes equations , classical mechanics , cross section (physics) , fluid dynamics , geometry , mathematical analysis , algorithm , boundary value problem , computer science , mathematics , medicine , alternative medicine , pathology , quantum mechanics , compressibility

A fast and accurate numerical technique is developed for solving the biharmonic equation in a multiply connected domain, in two dimensions. We apply the technique to the computation of slow viscous flow (Stokes flow) driven by multiple stirring rods. Previously, the technique has been\udrestricted to stirring rods of circular cross section; we show here how the prior method fails for noncircular rods and how it may be adapted to accommodate general rod cross sections, provided only that for each there exists a conformal mapping to a circle. Corresponding simulations of the flow are described, and their stirring properties and energy requirements are discussed briefly. In particular the method allows an accurate calculation of the flow when flat paddles are used to stir a fluid chaotically

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