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Energy transport in a shear flow of particles in a two-dimensional dusty plasma

Yan Feng*, J. Goree, and Bin Liu

  • Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242, USA

  • *yanfengui@gmail.com
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Phys. Rev. E 86, 056403 – Published 5 November, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.056403

Abstract

A shear flow of particles in a laser-driven two-dimensional (2D) dusty plasma is observed in a study of viscous heating and thermal conduction. Video imaging and particle tracking yields particle velocity data, which we convert into continuum data, presented as three spatial profiles: mean particle velocity (i.e., flow velocity), mean-square particle velocity, and mean-square fluctuations of particle velocity. These profiles and their derivatives allow a spatially resolved determination of each term in the energy and momentum continuity equations, which we use for two purposes. First, by balancing these terms so that their sum (i.e., residual) is minimized while varying viscosity η and thermal conductivity κ as free parameters, we simultaneously obtain values for η and κ in the same experiment. Second, by comparing the viscous heating and thermal conduction terms, we obtain a spatially resolved characterization of the viscous heating.

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  43. The external forces can add or remove energy from the collection dust particles, as expressed by Pext, which is the final term of the energy Eq. (3). Besides heating from laser manipulation and cooling from the gas friction as discussed in the text, we can mention two other contributions to Pext for our experiment: heating from random kicks from collisions with the gas atoms and heating by fluctuating electric fields in the plasma. In the absence of any laser manipulation, the other three terms have their background levels, which are in balance, so that their total Pext is zero. In the presence of laser manipulation, even outside the region where the laser beams strike the dust particles, there are flows that result in a cooling by gas friction that is enhanced above its background level. When using the energy equation with data from our experiment with laser manipulation, we ignore two heating effects, gas atom collisions and fluctuating electric fields. Using data from an experimental run without laser manipulation, we estimated those effects, so that we could report the range of values for κ/(cρ) in the text.
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Phys. Rev. E 86, 056403– Published 5 November, 2012
  • Received 24 August 2012

©2012 American Physical Society

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