Accession Number : AD0259049

Title :   A MONTE CARLO SOLUTION FOR HEAT TRANSFER IN RAREFIED GASES

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE FLUID DYNAMICS RESEARCH LAB

Personal Author(s) : LAVIN,MILTON L.

Report Date : MAY 1961

Pagination or Media Count : 1

Abstract : The nonlinear heat transfer problem in the transition regime between free molecule and continuum flow is solved by an iterative Monte Carlo method, and the results are compared with both linear and nonlinear analytical solutions. The statistical procedure consists of constructingAN IMPROVED DISTRIBUTION FUNCTION BY RECORDING THE HISTORY OF A SINGLE TEST MOLECULE WHICH WANDERS THROUGH A PHASE SPACE POPULATED BY MOLECULES OF THE PREVIOUS ITERATE. Molecular wanderings are determined by selecting events at random from the probability distributions that govern the interaction process. For a nominal Knudsen number of 2.0 and a temperature ratio of 4:1, the Monte Carlo results differ from both the linear and nonlinear analytical solutions by no more than 10-15%. Moreover, these statistical results seem to substantiate Mott-Smith's prediction of a Knudsen layer adjacent to the boundary. (Author)

Descriptors :   *HEAT TRANSFER, *KINETIC THEORY, *NUMERICAL METHODS AND PROCEDURES, *RAREFIED GAS DYNAMICS, FLUID MECHANICS, GAS FLOW, MOLECULES, MONTE CARLO METHOD, NONLINEAR SYSTEMS, SHOCK WAVES, STATISTICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE