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Flow stabilization with active hydrodynamic cloaks
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.
Type
Journal articlePermalink
https://hdl.handle.net/10161/7574Published Version (Please cite this version)
10.1103/PhysRevE.86.056313Publication Info
Urzhumov, Yaroslav A; & Smith, David R (2012). Flow stabilization with active hydrodynamic cloaks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(5). pp. 056313. 10.1103/PhysRevE.86.056313. Retrieved from https://hdl.handle.net/10161/7574.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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David R. Smith
James B. Duke Distinguished Professor of Electrical and Computer Engineering
Dr. David R. Smith is currently the James B. Duke Professor of Electrical and Computer
Engineering Department at Duke University. He is also Director of the Center for Metamaterials
and Integrated Plasmonics at Duke and holds the positions of Adjunct Associate Professor
in the Physics Department at the University of California, San Diego, and Visiting
Professor of Physics at Imperial College, London. Dr. Smith received his Ph.D. in
1994 in Physics from the University of California, San D
Yaroslav A. Urzhumov
Adjunct Assistant Professor in the Department of Electrical and Computer Engineering
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<![endif]-->Dr. Urzhumov is Adjunct Assistant Professor of ECE at Duke University,
and also a Technologist at the Metamaterials Commercialization Center of Intellectual
Ventures. Previously a research faculty at Duke, he works on applied and theoretical
aspects of metama
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