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Flow stabilization with active hydrodynamic cloaks

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Date
2012-11-21
Authors
Urzhumov, Yaroslav A
Smith, David R
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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 article
Permalink
https://hdl.handle.net/10161/7574
Published Version (Please cite this version)
10.1103/PhysRevE.86.056313
Publication 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.
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Scholars@Duke

Smith

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
Urzhumov

Yaroslav A. Urzhumov

Adjunct Assistant Professor in the Department of Electrical and Computer Engineering
<!--[if gte mso 9]> <![endif]--> <!--[if gte mso 9]> <![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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