MOMENT EQUATIONS AND BOUNDARY CONDITIONS FOR MAGNETO-GAS DYNAMICS
Technical Report
·
OSTI ID:4128365
Based on the work of Burgers and Kolodner, moment equations are obtained from the Boltzmann equation for conducting gas in electric and magnetic fields. The equations consist of (1) the conservation equation of momentum, and energy with arbitrary stress and heat and (2) the constitutive equations of stress and heat flow. By assuming the Grad distribution function and slight zation. stress and heat-flux equations are derived which yield a single-fluid description of the gas mixture. The associated boundary conditions are obtained by taking assumed distribution function and applying conservation laws near the wall. These moment equations and boundary conditions together with Maxwell's electromagnetic equations and their boundary conditions form a determinate system to describe the dynamics of a rarefied conductivity gas in electric and magnetic fields. This system includes as limiting cases, both the Grad 13-moment equations for rarefied gases and the usual continuum magnetogasdynamic equations. (auth)
- Research Organization:
- University of Southern California, Los Angeles. Engineering Center
- NSA Number:
- NSA-15-002276
- OSTI ID:
- 4128365
- Report Number(s):
- USCEC-56-216; AFOSR-TN-60-963
- Country of Publication:
- United States
- Language:
- English
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