Causality, Stokes’ wave equation, and acoustic pulse propagation in a viscous fluid

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 2, 2005, Pages

  Buckingham, Michael J ^a,b  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC PULSES; TRANSIENT SOLUTIONS; VISCOUS FLUID;

ACOUSTIC WAVE PROPAGATION; IMPULSE RESPONSE; VISCOUS FLOW;

WAVE EQUATIONS;

EID: 27244437249     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.026610     Document Type: Article

References (18)

1. G. G. Stokes, Trans. Cambridge Philos. Soc. TCPSAE 0371-5779 8, 287 (1845).
2. J. Stefan, Sitzungber Akad. Wien. Math.-Naturwiss. Kl 53, 529 (1866).
3. J. W. Strutt (Lord Rayleigh), The Theory of Sound (Dover, New York, 1945).
4. J. E. White, Underground Sound: Application of Seismic Waves (Elsevier, Amsterdam, 1983).
5. M. J. Buckingham, in New Perspectives on Problems in Classical and Quantum Physics. Part II. Acoustic Propagation and Scatteringâ€" Electromagnetic Scattering, edited by, P. P. Delsanto, and, A. W. Sãenz, (Gordon and Breach, Amsterdam, 1998), Vol. 2, pp. 19â€"34.
6. G. C. Gaunaurd and G. C. Everstine, J. Vibr. Acoust. JVACEK 0739-3717 10.1115/1.1419203 124, 19 (2002).
7. D. T. Blackstock, J. Acoust. Soc. Am. JASMAN 0001-4966 41, 1312 (1967).
8. M. Hanin, J. Math. Phys. (Cambridge, Mass.) JMPHA9 0097-1421 37, 234 (1957).
9. F. R. Norwood, J. Acoust. Soc. Am. JASMAN 0001-4966 44, 450 (1968).
10. R. Ludwig and P. L. Levin, IEEE Trans. Ultrason. Ferroelectr. Freq. Control ITUCER 0885-3010 10.1109/58.393124 42, 789 (1995).
11. R. S. C. Cobbold, N. V. Sushilov, and A. C. Weathermon, J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1823271 116 (6), 3294 (2004).
12. P. M. Jordan, M. R. Meyer, and A. Puri, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7918 62, 7918 (2000).
13. H. D. Weyman, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1974155 35, 488 (1967).
14. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed. (Clarendon Press, Oxford, UK, 1959).
15. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, New York, 1980), p. 480.
16. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).
17. Tables of Integral Transforms, Bateman Manuscript Project, edited by A. Erdã©lyi (McGraw-Hill, New York, 1954), Vol. 1, pp. 15 and 73.
18. M. J. Buckingham, Appl. Acoust. AACOBL 0003-682X 10.1016/S0003-682X(97) 00002-9 51, 225 (1997).