A 56-MOMENT SYSTEM OF DIFFERENTIAL KINETIC EQUATIONS,

Abstract

A differential equation system is obtained for the expansion coefficients of the distribution function in a monatomic rarified gas with respect to Hermite polynomials. This system contains moments up to the fifth order inclusive. The interest in these equations is supported by the desire to see general kinetic regularities in their structure, and it is not suppressed by the acknowledgement of the unreliability of their solution. From the cross section of the collision and the internal transform which characterize the mechanism of collisions between atoms, only four functionals remain in the obtained system. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1966
Accession Number
AD0646375

Entities

People

  • R. G. Barantsev

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Collisions
  • Differential Equations
  • Distribution Functions
  • Equations
  • Mathematics
  • Polynomials

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Molecular Photonics/Laser Physics
  • Systems Analysis and Design