Department of Mathematics

Applied Mathematics

  •  Fernando Guevara Vasquez, University of Utah
  •  Manipulation of particles in a fluid with standing acoustic waves
  •  04/12/2019
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall

Consider a collection of particles in a fluid that is subject to a standing acoustic wave. In some situations, the particles tend to cluster about the nodes of the wave. We study the problem of finding a standing acoustic wave that can position particles in desired locations, i.e. whose nodal set is as close as possible to desired curves or surfaces. We show that in certain situations we can expect to reproduce patterns up to the diffraction limit. For periodic particle patterns, we show that there are limitations on the unit cell and that the possible patterns in dimension d can be determined from an eigendecomposition of a 2d x 2d matrix.

 

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Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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