Sound propagation in binary gas mixtures from a kinetic model of the Boltzmann equation

Physica A: Statistical Mechanics and its Applications

Volumn 332, Issue 1-4, 2004, Pages 29-46

  Fernandes, A S ^a   Marques Jr , W ^a  

^a FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

Author keywords

Boltzmann equation; Kinetic model equation; Monatomic gas mixtures; Sound propagation

Indexed keywords

ABSORPTION; ACOUSTIC WAVE PROPAGATION; DIFFUSION IN GASES; EIGENVALUES AND EIGENFUNCTIONS; HELIUM; HYDRODYNAMICS; KINETIC THEORY; MAXWELL EQUATIONS; THERMAL CONDUCTIVITY OF GASES; TWO PHASE FLOW; VISCOSITY; XENON;

BOLTZMANN EQUATION; MONATOMIC GAS MIXTURES;

BINARY MIXTURES;

EID: 0348107092     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.10.028     Document Type: Article

References (15)

1. Bramlette T.T., Huang A.B. Kinetic theory of wave propagation. II. Binary gas mixtures. Phys. Fluids. 14:1971;34.
2. Foch J.D., Uhlenbeck G.E., Losa M.F. Theory of sound propagation in mixtures of monatomic gases. Phys. Fluids. 15:1972;1224.
3. B.D. Shizgal, D.G. Napier, Anomalous sound dispersion in two-component systems, in: Rarefied Gas Dynamics, R. Brun, R. Campargue, R. Gatignol, J.C. Lengrand (Eds.), Vol. 1 (135), Cépaduès-Éditions, Toulouse, 1998.
4. Hamel B.B. Kinetic model for binary gas mixtures. Phys. Fluids. 8:1965;418.
5. Holmes R., Tempest W. The propagation of sound in monatomic gas mixtures. Proc. Phys. Soc. Lond. 75:1960;898.
6. Sirovich L., Thurber J.K. Propagation of forced sound waves in rarefied gasdynamics. J. Acoust. Soc. Am. 37:1965;329.
7. Gross E.P., Jackson A.E. Kinetic models and the linearized Boltzmann equation. Phys. Fluids. 2:1959;432.
8. Bowler J.R., Johnson E.A. Anomalous sound propagation and mode degeneracy in noble gas mixtures. Proc. R. Soc. Lond. A. 408:1986;79.
9. Liu G. A method for constructing a model form from the Boltzmann equation. Phys. Fluids A. 2:1990;277.
10. W. Marques Jr., Berechnung von Streuspektren in Mischungen einatomiger idealer Gase: Ein Beitrag zur erweiterten Thermodynamik, Doctoral Dissertation, TU-Berlin, 1994.
11. Chapman S., Cowling T.G. The Mathematical Theory of Non-Uniform Gases. 1970;Cambridge University Press, Cambridge, MA.
12. Fried B.D., Conte S.D. The Plasma Dispersion Function. 1961;Academic Press, New York.
13. Kestin J., Knierim K., Mason E.A., Najafi B., Ro S.T., Waldman M. Equilibrium and transport properties of the noble gases and their mixtures at low density. J. Phys. Chem. Ref. Data. 13:1984;229.
14. Prangsma G.J., Jonkman R.M., Beenakker J.J.M. Sound-absorption measurements in helium-argon mixtures in the Burnett region. Physica. 48:1970;323.
15. Huck R.J., Johnson E.A. Possibility of double sound propagation in disparate-mass gas mixtures. Phys. Rev. Lett. 44:1980;142.