Fully alternating, triaxial electric or magnetic fields offer new routes to fluid vorticity
Abstract
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 bemore »
- Authors:
-
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1235913
- Report Number(s):
- SAND-2015-20737J
Journal ID: ISSN 1744-683X; SMOABF; 558184
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Soft Matter
- Additional Journal Information:
- Journal Volume: 11; Journal Issue: 2; Journal ID: ISSN 1744-683X
- Publisher:
- Royal Society of Chemistry
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Martin, James E., and Solis, Kyle J. Fully alternating, triaxial electric or magnetic fields offer new routes to fluid vorticity. United States: N. p., 2014.
Web. doi:10.1039/c4sm01936a.
Martin, James E., & Solis, Kyle J. Fully alternating, triaxial electric or magnetic fields offer new routes to fluid vorticity. United States. https://doi.org/10.1039/c4sm01936a
Martin, James E., and Solis, Kyle J. Fri .
"Fully alternating, triaxial electric or magnetic fields offer new routes to fluid vorticity". United States. https://doi.org/10.1039/c4sm01936a. https://www.osti.gov/servlets/purl/1235913.
@article{osti_1235913,
title = {Fully alternating, triaxial electric or magnetic fields offer new routes to fluid vorticity},
author = {Martin, James E. and Solis, Kyle J.},
abstractNote = {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.},
doi = {10.1039/c4sm01936a},
journal = {Soft Matter},
number = 2,
volume = 11,
place = {United States},
year = {Fri Oct 31 00:00:00 EDT 2014},
month = {Fri Oct 31 00:00:00 EDT 2014}
}
Web of Science
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Works referencing / citing this record:
Critical nucleation mesh-size of coarsening transient colloidal networks
journal, January 2016
- Maier, Florian Johannes; Fischer, Thomas Martin
- Soft Matter, Vol. 12, Issue 2
Tunable interactions between particles in conically rotating electric fields
journal, January 2018
- Komarov, Kirill A.; Kryuchkov, Nikita P.; Yurchenko, Stanislav O.
- Soft Matter, Vol. 14, Issue 47
Topological protection of multiparticle dissipative transport
text, January 2016
- Loehr, Johannes; Loenne, Michael; Ernst, Adrian
- arXiv