Poroacoustic acceleration waves

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 462, Issue 2075, 2006, Pages 3493-3499

  Ciarletta, M ^a   Straughan, B ^b  

^a UNIVERSITY OF SALERNO   (Italy)

^b DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Acceleration waves; Jordan Darcy model; Poroacoustics; Porous media

Indexed keywords

EID: 33750542753     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2006.1730     Document Type: Article

References (22)

1. Batchelor, G. K. 1967 An introduction to fluid dynamics. Cambridge, UK: Cambridge University Press.
2. Chen, P. J. 1973 Growth and decay of waves in solids. In Handbuch der Physik (ed. S. Flügge & C. Truesdell), vol. VIa/3, pp. 303-402. Berlin, Germany: Springer.
3. Christov, C. I. & Jordan, P. M. 2005 Heat conduction paradox involving second sound propagation in moving media. Phys. Rev. Lett. 94, 154301-1-154301-4. (doi:10.1103/PhysRevLett.94.154301)
4. Eringen, A. C. 1994 A continuum theory of swelling porous elastic soils. Int. J. Eng. Sci. 32, 1337-1349. (doi:10.1016/0020-7225(94)90042-6)
5. Fellah, Z. E. A. & Depollier, C. 2000 Transient acoustic wave propagation in rigid porous media: a time-domain approach. J. Acoust. Soc. Am. 107, 683-688. (doi:10.1121/1.428250)
6. Fellah, Z. E. A., Depollier, C., Berger, S., Lauriks, W., Trompette, P. & Chapelon, J. Y. 2003 Determination of transport parameters in air-saturated porous materials via reflected ultrasonic waves. J. Acoust. Soc. Am. 114, 2561-2569. (doi:10.1121/1.1621393)
7. Fu, Y. B. & Scott, N. H. 1988 Acceleration wave propagation in an inhomogeneous heat conducting elastic rod of slowly varying cross section. J. Therm. Stresses 15, 253-264.
8. Fu, Y. B. & Scott, N. H. 1991 The transistion from acceleration wave to shock wave. Int. J. Eng. Sci. 29, 617-624. (doi:10.1016/0020-7225(91)90066-C)
9. Jordan, P. M. 2004 An analytical study of Kuznetsov's equation: diffusive solitons, shock formation, and solution bifurcation. Phys. Lett. A 326, 77-84. (doi:10.1016/j.physleta.2004.03.067)
10. Jordan, P. M. 2005 Growth and decay of acoustic acceleration waves in Darcy-type porous media. Proc. R. Soc. A 461, 2749-2766. (doi:10.1098/rspa.2005. 1477)
11. Jordan, P. M. & Christov, C. I. 2005 A simple finite difference scheme for modelling the finite-time blow-up of acoustic acceleration waves. J. Sound Vib. 281, 1207-1216. (doi:10.1016/j.jsv.2004. 03.067)
12. Jordan, P. M. & Feuillade, C. 2004 On the propagation of harmonic acoustic waves in bubbly liquids. Int. J. Eng. Sci. 42, 1119-1128. (doi:10.1016/j.ijengsci.2003.12.005)
13. Jordan, P. M. & Puri, A. 1999 Digital signal propagation in dispersive media. J. Appl. Phys. 85, 1273-1282. (doi:10.1063/1.369258)
14. Jordan, P. M. & Puri, A. 2005 Growth/decay of transverse acceleration waves in nonlinear elastic media. Phys. Lett. A 341, 427-434. (doi:10.1016/j.physleta.2005.05.010)
15. Jordan, P. M., Meyer, M. R. & Puri, A. 2000 Causal implications of viscous damping in compressible fluid flows. Phys. Rev. E 62, 7918-7926. (doi:10.1103/PhysRevE.62.7918)
16. Maysenhölder, W., Berg, A. & Leistner, P. 2004 Acoustic properties of aluminium foams-measurements and modelling. CFA/DAGA'04, Strasbourg, 22-25/03/2004. See also www.ibp. fhg.de/ba/forschung/aluschaum/ aluschaum.pdf.
17. Nield, D. & Bejan, A. 1999 Convection in porous media, 2nd edn. New York, NY: Springer.
18. Ostoja-Starzewski, M. & Trebicki, J. 1999 On the growth and decay of acceleration waves in random media. Proc. R. Soc. A 455, 2577-2614. (doi:10.1098/rspa.1999.0446)
19. Puri, P. & Jordan, P. M. 2004 On the propagation of plane waves in type-III thermoelastic media. Proc. R. Soc. A 460, 3203-3221. (doi:10.1098/rspa.2004.1341)
20. Quintanilla, R. & Straughan, B. 2004 Discontinuity waves in type III thermoelasticity. Proc. R. Soc. A 460, 1169-1175. (doi:10.1098/rspa.2003.1131)
21. Su, S., Dai, W., Jordan, P. M. & Mickens, R. E. 2005 Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation. Int. J. Heat Mass Tran. 48, 2233-2241. (doi:10.1016/j. ijheatmasstransfer.2004.12.024)
22. Wilson, D. K. 1997 Simple, relaxational models for the acoustic properties of porous media. Appl. Acoust. 50, 171-188. (doi:10.1016/S0003- 682X(96)00048-5)