THE KINETIC THEORY OF AN IONIZED GAS [Part I]
Technical Report
·
OSTI ID:4141091
The Boltzmann equation for a simple gas is derived and its limitations discussed. Hydrodynamic equations are derived from the Boltzmann equation, and the pressure tensor and heat flux vector are introduced. A discussion of collisions and the form in which they enter into the Boltzmann equation are given. Expressions are derived for the rate of change of any quantity due to collisions. A proof is given of the statement: if left alone, the gas will approach the equilibrium state described by a Maxwell distribution. Properties of this equilibrium state are discussed. The physical significance of various terms of the hydrodynamic equations is discussed. The simple "mean free time" theory is described. The formal procedure of Chapman and Cowling for obtaining a solution of the Boltzmann equation is described. The variation method of Hirshfelder et al. for solving the integral equations which turn up in the theory is described, and the coefficients of viscosity and thermal conduction are calculated. (C.J.G.)
- Research Organization:
- United Kingdom Atomic Energy Authority. Research Group. Atomic Energy Research Establishment, Harwell, Berks, England
- NSA Number:
- NSA-14-014475
- OSTI ID:
- 4141091
- Report Number(s):
- AERE-T/R-2247
- Country of Publication:
- United Kingdom
- Language:
- English
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