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Flow stabilization with active hydrodynamic cloaks.

Yaroslav A Urzhumov1, David R Smith

  • 1Center for Metamaterials and Integrated Plasmonics, Pratt School of Engineering, Duke University, Durham, North Carolina 27708, USA. yaroslav.urzhumov@duke.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

Fluid flow cloaking using active hydrodynamic metamaterials is possible for 2D flows around cylinders up to Reynolds number 200. These cloaks enhance stability and suppress vortex streets, raising the critical Reynolds number significantly.

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Area of Science:

  • Fluid Dynamics
  • Metamaterials
  • Hydrodynamics

Background:

  • Flow cloaking aims to render objects undetectable by fluid flow.
  • Active hydrodynamic metamaterials offer a potential mechanism for flow control.
  • Understanding flow stability around bluff bodies is crucial for many engineering applications.

Purpose of the Study:

  • To investigate the existence and stability of fluid flow cloaking solutions for 2D flow past a cylinder.
  • To explore the effectiveness of active hydrodynamic metamaterials in controlling flow dynamics.
  • To determine the impact of flow cloaking on the critical Reynolds number and vortex shedding.

Main Methods:

  • Utilized the Brinkman equation for homogenized porous flow.
  • Employed linearization of the Brinkman-Navier-Stokes equation to analyze eigenfrequencies.
  • Performed direct numerical integration in the time domain for dynamic stability analysis.

Main Results:

  • Demonstrated the existence of flow cloaking solutions for Reynolds numbers up to approximately 200.
  • Confirmed dynamic stability of cloaked flows for Reynolds numbers in the range of 5-119.
  • Showed that porous flow cloaks suppress the von Kármán vortex street, increasing the critical Reynolds number to around 120.

Conclusions:

  • Active hydrodynamic metamaterials provide viable solutions for fluid flow cloaking around cylinders.
  • Flow cloaking significantly enhances flow stability and delays the onset of turbulence.
  • This technology has the potential to increase the critical Reynolds number by a factor of five compared to uncloaked cylinders.