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Flow stabilization with active hydrodynamic cloaks.

Publication ,  Journal Article
Urzhumov, YA; Smith, DR
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
November 2012

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.

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Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

November 2012

Volume

86

Issue

5 Pt 2

Start / End Page

056313

Related Subject Headings

  • Rheology
  • Refractometry
  • Models, Theoretical
  • Hydrodynamics
  • Fluids & Plasmas
  • Computer Simulation
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Urzhumov, Y. A., & Smith, D. R. (2012). Flow stabilization with active hydrodynamic cloaks. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 86(5 Pt 2), 056313. https://doi.org/10.1103/physreve.86.056313
Urzhumov, Yaroslav A., and David R. Smith. “Flow stabilization with active hydrodynamic cloaks.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 86, no. 5 Pt 2 (November 2012): 056313. https://doi.org/10.1103/physreve.86.056313.
Urzhumov YA, Smith DR. Flow stabilization with active hydrodynamic cloaks. Physical review E, Statistical, nonlinear, and soft matter physics. 2012 Nov;86(5 Pt 2):056313.
Urzhumov, Yaroslav A., and David R. Smith. “Flow stabilization with active hydrodynamic cloaks.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 86, no. 5 Pt 2, Nov. 2012, p. 056313. Epmc, doi:10.1103/physreve.86.056313.
Urzhumov YA, Smith DR. Flow stabilization with active hydrodynamic cloaks. Physical review E, Statistical, nonlinear, and soft matter physics. 2012 Nov;86(5 Pt 2):056313.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

November 2012

Volume

86

Issue

5 Pt 2

Start / End Page

056313

Related Subject Headings

  • Rheology
  • Refractometry
  • Models, Theoretical
  • Hydrodynamics
  • Fluids & Plasmas
  • Computer Simulation
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences