A thermo-mechanically consistent Burnett regime continuum flow equation without Chapman-Enskog expansion

Kokou Dadzie

Research output: Contribution to journalArticle

17 Citations (Scopus)
254 Downloads (Pure)

Abstract

Chapman-Enskog expansion is the orthodox approach to derive continuum flow models from Boltzmann’s kinetic equation for dilute gases. Beyond the Navier-Stokes-Fourier order, these models known as Burnett hydrodynamic-regime equations violate a number of fundamental mechanical and thermodynamic principles in their original forms. This has generated a widely investigated problem in the kinetic theory of gases. In this short article, we derive a Burnett hydrodynamic-regime continuum model that is systematically consistent with all known mechanical and thermodynamic principles without using any series’ expansion. Close comparison with the conventional Burnett hydrodynamic set of equations is considered and their linear stabilities around an equilibrium point under small perturbations are presented.
Original languageEnglish
Pages (from-to)6-11
JournalJournal of Fluid Mechanics
Volume716
Early online date28 Jan 2013
DOIs
Publication statusPublished - Feb 2013

Keywords

  • kinetic theory
  • non-continuum effects
  • rarefied gas flows

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