MONTE CARLO APPLICATION TO MOLECULAR FLOWS

Abstract

Monte Carlo methods were programmed on the IBM 709 for two problems: the heat flow between parallel walls using hard sphere and Maxwellian molecules; and the normal shock wave, using hard sphere molecules. Three solutions were obtained to the heat flow problem, two for Maxwellian molecules at Knudsen numbers of .53 and 1.64, respectively, and one for hard spheres at a Knudsen number of 2.0. All three runs were at a temperature ratio of 4:1. Three solutions were obtained to the shock wave problem, at Mach numbers of 1.5, 2.0 and 3.0. Solutions were obtained in the heat flow problem to the four-moment full range equations, both for hard sphere and Maxwellian molecules, and one solution was obtained to the six-moment full range equations for Maxwellian molecules. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 31, 1961
Accession Number
AD0259672

Entities

People

  • J.k. Haviland

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Equations
  • Flow
  • Heat Transmission
  • Knudsen Number
  • Mach Number
  • Molecules
  • Monte Carlo Method
  • Shock
  • Shock Waves
  • Waves

Readers

  • Fluid Dynamics.