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Long Wavelength Instability for Uniform Shear Flow

Mirim Lee·James W. Dufty·José M. Montanero·Andrés Santos·James F. Lutsko
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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.

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Mirim Lee, James W. Dufty, José M. Montanero, Andrés Santos, James F. Lutsko. 1996-04-30. Long Wavelength Instability for Uniform Shear Flow. https://doi.org/10.1103/physrevlett.76.2702

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