CALCULATIONS OF COLLISION INTEGRALS IN THE MOMENT EQUATIONS,

Abstract

For the calculation of the collision integrals in the moment equations Weitzsch's ansatz is made for the velocity distribution functions being represented as integral superposition of Gaussian distributions. Its weighting function must contain a finite number of velocity independent parameters for the treatment of problems with strong deviations from equilibrium. For weak deviations a series expansion yields Grad's expansion of the distribution function in tensorial Hermite polynomials. The moment equations with their collision integrals are established up to the third order and the transport cross sections occurring therein are calculated for inverse power interaction potentials. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0281753

Entities

People

  • Kurt Suchy

Organizations

  • University of Marburg

Tags

DTIC Thesaurus Topics

  • Collisions
  • Distribution Functions
  • Equations
  • Functions (Mathematics)
  • Gaussian Distributions
  • Integrals
  • Mathematics
  • Polynomials
  • Transport Ships
  • Weighting Functions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis