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Flow stabilization with active hydrodynamic cloaks

dc.contributor.author Smith, David R
dc.contributor.author Urzhumov, Yaroslav A
dc.date.accessioned 2013-07-11T22:43:02Z
dc.date.issued 2012-11-21
dc.identifier.issn 1539-3755
dc.identifier.uri http://hdl.handle.net/10161/7574
dc.description.abstract We demonstrate that fluid flow cloaking solutions, based on active hydrodynamic metamaterials, exist for two-dimensional flows past a cylinder in a wide range of Reynolds numbers (Re's), up to approximately 200. Within the framework of the classical Brinkman equation for homogenized porous flow, we demonstrate using two different methods that such cloaked flows can be dynamically stable for Re's in the range of 5-119. The first highly efficient method is based on a linearization of the Brinkman-Navier-Stokes equation and finding the eigenfrequencies of the least stable eigenperturbations; the second method is a direct numerical integration in the time domain. We show that, by suppressing the von Kármán vortex street in the weakly turbulent wake, porous flow cloaks can raise the critical Reynolds number up to about 120 or five times greater than for a bare uncloaked cylinder. © 2012 American Physical Society.
dc.description.sponsorship This work was supported by the NAVAIR division of the US Navy through a subcontract with SensorMetrix (Contract No. N68335-11-C-0011).
dc.language.iso en_US
dc.relation.ispartof Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.relation.isversionof 10.1103/PhysRevE.86.056313
dc.title Flow stabilization with active hydrodynamic cloaks
dc.type Journal article
duke.description.volume 86
dc.relation.journal Physical Review E
pubs.begin-page 056313
pubs.issue 5
pubs.organisational-group Duke
pubs.organisational-group Electrical and Computer Engineering
pubs.organisational-group Pratt School of Engineering
pubs.publication-status Published
pubs.volume 86
dc.identifier.eissn 1550-2376


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