Derivation of Grad's Thirteen Regularized Moment Equations Using a Hermite Polynomial Representation of Velocity Distribution Function (Preprint)

Abstract

This paper derives the transport equations for rarefied gases from the Bhatnagar-Gross-Krook (BGK) model kinetic equation using Hermite polynomial representation of the velocity distribution function. We apply the Champmen-Enskog method to Grad's thirteen moment equations to derive a closure of Grad's 13 moment equations, extending them to third order of the Knudsen number. The velocity distribution function for the resulting 13 regularized moment equations is presented.

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Document Details

Document Type
Technical Report
Publication Date
Jun 16, 2010
Accession Number
ADA523024

Entities

People

  • L. Pekker
  • O. Pekker
  • V. Timchenko

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Boltzmann Equation
  • Collisions
  • Distribution Functions
  • Dynamics
  • Energy Conservation
  • Equations
  • Gas Dynamics
  • Gases
  • Heat Flux
  • Knudsen Number
  • Manufacturing Engineering
  • Molecules
  • Physics
  • Polynomials
  • Rarefied Gas Dynamics
  • Rarefied Gases

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.