Evaluation of approximate relations for Delta /Q/ using a numerical solution of the Boltzmann equationData obtained from a numerical solution of the Boltzmann equation for shock-wave structure are used to test the accuracy of accepted approximate expressions for the two moments of the collision integral Delta (Q) for general intermolecular potentials in systems with a large translational nonequilibrium. The accuracy of the numerical scheme is established by comparison of the numerical results with exact expressions in the case of Maxwell molecules. They are then used in the case of hard-sphere molecules, which are the furthest-removed inverse power potential from the Maxwell molecule; and the accuracy of the approximate expressions in this domain is gauged. A number of approximate solutions are judged in this manner, and the general advantages of the numerical approach in itself are considered.
Document ID
19740060808
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Nathenson, M.
Baganoff, D. (Stanford University Stanford, Calif., United States)
Yen, S. M. (Illinois, University Urbana, Ill., United States)
Date Acquired
August 7, 2013
Publication Date
January 1, 1974
Subject Category
Fluid Mechanics
Meeting Information
Meeting: International Symposium on Rarefied Gas Dynamics