Elliptic function representation of doubly periodic two-dimensional Stokes flows

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dc.creatorPeterson, Mark A.
dc.creatorChen, Danti
dc.creatorDing, Mengqi
dc.date2006-08-29
dc.date.accessioned2026-07-07T07:25:57Z
dc.date.available2026-07-07T07:25:57Z
dc.descriptionWe construct doubly periodic Stokes flows in two dimensions using elliptic functions. This method has advantages when the doubly periodic lattice of obstacles has less than maximal symmetry. We find the mean flow through an arbitrary lattice in response to a pressure gradient in an arbitrary direction, and show in a typical example that the shorter of the two period lattice vectors is an "easy direction" for the flow, an eigenvector of the conductance tensor corresponding to maximal conductance.
dc.description9 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/physics/0608287
dc.identifierhttp://arxiv.org/abs/physics/0608287
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116907
dc.subjectFluid Dynamics
dc.titleElliptic function representation of doubly periodic two-dimensional Stokes flows
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