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Wake control with permeable multilayer structures: The spherical symmetry case.

Patrick T Bowen1, David R Smith1, Yaroslav A Urzhumov1

  • 1Center for Metamaterials and Integrated Plasmonics and Department of Electrical and Computer Engineering, Duke University, P.O. Box 90291, Durham, North Carolina 27708, USA.

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Researchers can control a spherical object's wake and drag independently using porous shells. This method reduces wake without energy cost or active force generation, offering a passive control strategy.

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Area of Science:

  • Fluid dynamics
  • Porous media physics
  • Applied mathematics

Background:

  • Controlling flow dynamics around objects is crucial in various engineering applications.
  • Independent manipulation of wake and drag forces presents a significant challenge.
  • The Brinkman-Stokes formalism offers a framework for analyzing flow in porous media.

Purpose of the Study:

  • To investigate the independent control of wake and drag for a spherical object.
  • To explore the use of radial permeability distributions in a Brinkman-Stokes framework.
  • To develop an efficient computational method for analyzing complex porous structures.

Main Methods:

  • Discretization of a graded-permeability shell into homogeneous layers.
  • Development of an algorithm based on analytical solutions for Stokes flow through multilayer porous spheres.
  • Utilizing Monte Carlo samplings for comprehensive parameter space exploration.

Main Results:

  • Demonstrated the ability to independently control wake and drag by adjusting permeability profiles.
  • Observed convergence to a specific manifold in wake-drag coordinates.
  • Developed an efficient algorithm enabling 10^4-10^5 Monte Carlo samples.

Conclusions:

  • Achieved independent control of wake and drag for spherical objects using passive porous shells.
  • Identified a method to reduce wake without energy expenditure or active forces.
  • The developed algorithm is adaptable to other scattering problems in spherically-symmetric systems.