THE EFFECT OF THE MOLECULAR MODEL ON RAREFIED GAS FLOWS,
Abstract
The memorandum presents an analysis of the effect of molecules with infinite collision cross section upon the methods of obtaining solutions to the Boltzmann equation in the nearly free molecular regime. It is found that Knudsen iteration is satisfactory for computing physically meaningful moments of the distribution function for threedimensional flows about isolated bodies. For onedimensional (parallel-plate) problems a new iterative method is proposed. It is found that certain of the moments (e.g., the mean velocity perturbations) will have the form (1/Kn) to the (S-1)/(S+1) power for molecules that repel each other with a force proportional to the inverse-S power of their separation. For flows about two-dimensional isolated bodies, significant questions appear to be still open. The effect of using the correct quantum collision cross section also requires further study. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1965
- Accession Number
- AD0623607
Entities
People
- D. Roger Willis
Organizations
- RAND Corporation