The Transport Properties of Dilute Gases in Applied Fields.
Abstract
Collision integrals developed and partially evaluated by L. W. Hunter and R. F. Snider, and utilized by Hunter in his treatment of the effects of a magnetic field on the shear viscosity and thermal conductivity of single component diatomic gases, are cast in the Generalized Phase Shift (GPS) formalism of C. F. Curtiss. This, along with the introduction of certain operators, allows the collision integrals to be considerably simplified by facilitating the evaluation of several summations and angle integrations. The difficulties inherent in treating diatom-diatom interactions lead to consideration of binary gaseous mixtures in which the dominant species is atomic, the diatomic species being restricted to low concentrations. Such systems require consideration of atom-atom and atom-diatom interactions only. Employing methods introduced by Hunter, scalar equations are obtained for the transport properties of binary mixtures in applied magnetic fields. The collision integrals occurring in these equations are found to be generalizations of those discussed by Hunter and Snider. The shear viscosity of an atom-diatom mixture in an applied magnetic field is then treated in detail. The basis set is truncated and the diatomic species is restricted to low concentrations. The expressions obtained for the shear viscosity tensor are in qualitative agreement with experimental observations. Steps leading to calculation of the shear viscosity tensor in this particular case are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1979
- Accession Number
- ADA096464
Entities
People
- James A. Thomas Jr.
Organizations
- Center for Naval Analyses