Oscillations in confined gases

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 5, 1998, Pages 5520-5532

  de Lange, O L ^a   Pierrus, J ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243838523     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5520     Document Type: Article

References (14)

1. J. Pierrus and O. L. de Lange, Phys. Rev. E 56, 2841 (1997).PLEEE8
2. E. Rüchardt, Phys. Z. 30, 58 (1929).PHZTAO
3. C. G. Deacon and J. P. Whitehead, Am. J. Phys. 60, 859 (1992).AJPIAS
4. Actually, there is a phase lag between the average temperature of the gas and the displacement x(t). See Eq. (29) of Ref. 1.
5. Our Eqs. (3) and (5) follow from Eqs. (41) and (42) of Ref. 1.
6. See, for example, J. H. Dymond and E. B. Smith, The Virial Coefficients of Gases (Clarendon Press, Oxford, 1969). Note that in our work the contribution of the third virial coefficient in Eq. (7) is small, and has been neglected.
7. See, for example, E. A. Guggenheim, Thermodynamics (North-Holland, Amsterdam, 1950), p. 102.
8. G. G. Stokes, Philos. Mag. 1, 305 (1851).PHMAA4
9. See, for example, A. D. Pierce, Acoustics (McGraw-Hill, New York, 1981), Chap. 1.
10. Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, 1963), Vol. 8 Pt. 2, p. 246.
11. G. Petit Bois, Tables of Indefinite Integrals (Dover, New York, 1961), p. 117.
12. See Ref. 10, p. 51.
13. S. W. Yuan, Foundations of Fluid Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1967), p. 277–282.
14. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967), pp. 219–222. Our result (B9) follows by differentiating Eq. (4.8.11) of this reference, then putting y=d2 and using Eqs. (4.8.13) and (4.8.15) with d1≫d2.