Long Wavelength Instability for Uniform Shear Flow

Mirim Lee, James W. Dufty, José M. Montanero, Andrés Santos, and James F. Lutsko
Phys. Rev. Lett. 76, 2702 – Published 8 April 1996
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Abstract

Uniform shear flow is a prototype nonequilibrium state admitting detailed study at both the macroscopic and microscopic levels via theory and computer simulation. It is shown that the hydrodynamic equations for this state have a long wavelength instability. This result is obtained first from the Navier-Stokes equations and shown to apply at both low and high densities. Next, higher order rheological effects are included using a model kinetic theory. The results are compared favorably to those from Monte Carlo simulation.

  • Received 1 November 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.2702

©1996 American Physical Society

Authors & Affiliations

Mirim Lee and James W. Dufty

  • Department of Physics, University of Florida, Gainesville, Florida 32611

José M. Montanero and Andrés Santos

  • Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain

James F. Lutsko

  • ESADG, Deptartment of Chemical Engineering, Katholiek University of Leuvan, B-3001, Heverlee, Belgium

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Issue

Vol. 76, Iss. 15 — 8 April 1996

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