THE PSEUDO-SHOCK: A NON-LINEAR PROBLEM OF TRANSLATIONAL RELAXATION

Abstract

The Boltzmann equation was solved by Nordsieck's Monte Carlo method for the case of translational relaxation of a gas of elastic spheres whose initial velocity distribution function is given. The Mach number describes the relative separation of the two peaks of the bimodal distribution function and therefore controls the degree of initial departure from equilibrium. Calculations were made for M = 0.5, 1, 2, 4, and 6, which includes a range of initial conditions from very close to very far from thermal equilibrium. It was also shown that in a Krook model of our relaxation process, the ratio of the two collision numbers is somewhat smaller than two late in the relaxation and approaches two asymptotically.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0618328

Entities

People

  • B. L. Hicks

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Confidence Limits
  • Distribution Functions
  • Equations
  • Information Science
  • Mach Number
  • Molecular Dynamics
  • Monte Carlo Method
  • Numerical Analysis
  • Numerical Integration
  • Numerical Quadrature
  • Sampling
  • Shock Waves
  • Test And Evaluation

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.