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Title: Fully alternating, triaxial electric or magnetic fields offer new routes to fluid vorticity

Journal Article · · Soft Matter
DOI:https://doi.org/10.1039/c4sm01936a· OSTI ID:1235913
 [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Noncontact methods of generating strong fluid vorticity are important to problems involving heat and mass transfer, fluid mixing, active wetting, and droplet transport. Furthermore, because zero or even negative shear viscosities can be induced, vorticity can greatly extend the control range of the smart fluids used in magnetorheological devices. In recent work we have shown that a particular class of ac/ac/dc triaxial fields (so-called symmetry-breaking rational fields) can create strong vorticity in magnetic particle suspensions and have presented a theory of the vorticity that is based on the symmetry of the 2-d Lissajous trajectories of the field and its converse. In this paper we demonstrate that there are three countably infinite sets of fully alternating ac/ac/ac triaxial fields whose frequencies form rational triads that have the symmetry required to drive fluid vorticity. The symmetry of the 3-d Lissajous trajectories of the field and its converse can be derived and from this the direction of the vorticity axis can be predicted, as can the dependence of the sign of the vorticity on the phase relations between the three field components. Experimental results are presented that validate the symmetry theory. These discoveries significantly broaden the class of triaxial fields that can be exploited to produce strong noncontact flow.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1235913
Report Number(s):
SAND-2015-20737J; SMOABF; 558184
Journal Information:
Soft Matter, Vol. 11, Issue 2; ISSN 1744-683X
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

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Critical nucleation mesh-size of coarsening transient colloidal networks journal January 2016
Tunable interactions between particles in conically rotating electric fields journal January 2018
Topological protection of multiparticle dissipative transport text January 2016