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Breakdown parameter for kinetic modeling of multiscale gas flows.

Jianping Meng1, Nishanth Dongari2, Jason M Reese3

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New kinetic criteria assess fluid flow models using molecular details. This approach reliably indicates when continuum descriptions are valid for gas flows across various speeds and conditions.

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Area of Science:

  • Multiscale methods
  • Kinetic theory of gases
  • Fluid dynamics

Background:

  • Continuum fluid descriptions are essential but have limitations.
  • Assessing the validity of fluid models often relies on macroscopic quantities.
  • Kinetic theory offers molecular-level insights into gas behavior.

Purpose of the Study:

  • To develop new criteria for evaluating continuum fluid descriptions.
  • To utilize kinetic information for assessing model appropriateness.
  • To establish a method for indirectly detecting errors in fluid models.

Main Methods:

  • Developing novel breakdown parameters based on kinetic theory.
  • Analyzing the validity of Navier-Stokes-Fourier equations and kinetic models.
  • Performing numerical demonstrations for validation.

Main Results:

  • A new kinetic criterion was proposed and analyzed.
  • The criterion effectively assesses continuum model validity.
  • Consistent indication of validity was observed across low-speed and high-speed flows.

Conclusions:

  • Kinetic information provides a robust basis for assessing continuum fluid models.
  • The new criterion offers a reliable method for determining the applicability of fluid descriptions.
  • This approach enhances the understanding of fluid flow regimes and model limitations.