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Physics of Plasmas / Volume 17 / Issue 10 / ARTICLES / Dusty Plasmas

Phys. Plasmas 17, 103706 (2010); http://dx.doi.org/10.1063/1.3491125 (7 pages)

Parallel shear flow instabilities in strongly coupled Yukawa liquids: A comparison of generalized hydrodynamic model and molecular dynamics results

Ashwin J. and R. Ganesh

Institute For Plasma Research, Bhat, Gandhinagar 382428, India

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(Received 19 July 2010; accepted 30 August 2010; published online 19 October 2010)

Using a generalized hydrodynamic (GH) model, the growth rate spectra of Kelvin–Helmholtz (KH) instability has been obtained analytically for a step shear profile in strongly coupled Yukawa liquids. The class of shear flows studied is assumed to be incompressible in nature. The growth rate spectra calculated exhibit viscous damping at high mode numbers, destabilization at stronger coupling, and in the limit τm (viscoelastic relaxation time)→0, reduce to the regular Navier–Stokes growth rate spectra. A direct comparison is made with previous molecular dynamics (MD) simulations [ Ashwin J. and R. Ganesh, Phys. Rev. Lett. 104, 215003 (2010) ] of KH instability. We find that for a given value of Reynolds number R and coupling parameter 1<Γ<100, the GH and MD growth rates are in a qualitative agreement. The inclusion of the effect of shear heating as an effective coupling parameter Γe appears to improve the quantitative comparison as well.

© 2010 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. BASIC ASSUMPTIONS AND EQUILIBRIUM
  3. GH MODEL EQUATIONS
  4. EFFECT OF COUPLING PARAMETER Γ ON SHEAR VISCOSITY η AND VISCOELASTIC RELAXATION TIME τm
  5. EFFECT OF COUPLING PARAMETER Γ ON GH GROWTH RATES γ
  6. EFFECT OF SHEAR INDUCED HEATING ON GROWTH RATES γ
  7. CONCLUSIONS

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KEYWORDS and PACS

Keywords

dusty plasmas, flow instability, molecular dynamics method, Navier-Stokes equations, plasma simulation, shear flow

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3491125

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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