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Reply to "comment on nonlinear viscosity and Grad's method ".

F J Uribe1, L S García-Colín

  • 1Department of Physics, Universidad Autónoma Metropolitana-Iztapalapa, 09340 México, Distrito Federal, Mexico.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
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Eu's theory for dilute gases has a corrected asymptotic behavior that lacks physical meaning. Further analysis reveals it can predict a negative xx component of the pressure tensor, indicating a fundamental issue.

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Physical Chemistry

Background:

  • Eu's theory addresses the asymptotic behavior of dilute gases.
  • Previous work acknowledged a mistake in the asymptotic behavior calculation.

Purpose of the Study:

  • To re-evaluate Eu's theory for dilute gases.
  • To determine the physical meaningfulness of the corrected asymptotic behavior.
  • To investigate predictions of the pressure tensor's xx component.

Main Methods:

  • Detailed analysis of Eu's theory for a dilute gas of rigid spheres.
  • Examination of the asymptotic behavior and its physical implications.

Main Results:

  • The corrected asymptotic behavior of Eu's theory is physically meaningless.

Related Experiment Videos

  • In certain scenarios, the theory predicts a negative xx component of the pressure tensor.

    • Conclusions:

    • Eu's theory, despite corrections, presents fundamental issues.
    • The unphysical predictions highlight the need for revised theoretical frameworks in gas dynamics.