Dispersion Relations in Rarefied Gas Dynamics
The one-dimensional initial-value problem of a monatomic single component gas is considered. Using the linearized Boltzmann equation the dispersion relation is studied. In addition to the usual gas-dynamic sound waves, one finds an infinity of decaying propagating waves. The phenomenon exhibits itself as a sequence of epochs, the last state of which is hydrodynamic. With reference to the same problem, macroscopic equations such as Euler, Navier-Stokes, Burnett, moments equations, etc., are considered. In addition, the recently considered ``kinetic models'' of Gross et al. are applied to the problem. These various formulations are critically analyzed and compared with each other and with the Boltzmann analysis. Finally, several modifications are offered which remedy some of the shortcomings which appear in the approximate theories.
- Research Organization:
- New York Univ., New York
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-006238
- OSTI ID:
- 4749023
- Journal Information:
- Physics of Fluids (New York), Journal Name: Physics of Fluids (New York) Journal Issue: 1 Vol. 6; ISSN 0031-9171; ISSN PFLDAS
- Publisher:
- American Institute of Physics
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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Related Subjects
BOLTZMANN EQUATION
CALCIUM COMPOUNDS
CARBONATES
CENTRIFUGATION
CHEMICAL REACTIONS
CLEANING
CONCENTRATION
DIFFERENTIAL EQUATIONS
DISPERSIONS
ENGINEERING AND EQUIPMENT
EQUATIONS
EULER EQUATIONS
FILTERS
FLUID FLOW
FLUORIDES
GASES
HYDRODYNAMICS
IMPURITIES
LIQUID FLOW
MOMENTUM
NAVIER- STOKES EQUATIONS
OSCILLATIONS
OXIDES
PEROXIDES
REACTION KINETICS
RECOVERY
SALTS
SEPARATION PROCESSES
SODIUM COMPOUNDS
SOLUTIONS
SOUND
STANDARDS
URANIUM OXIDES
WAVE MECHANICS