Some Aspects of Sound Propagation in Porous Medium

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Abstract:

The new properties of nonlinear sound propagation in one-dimensional porous medium are presented. For this purpose the one-dimensional equation of nonlinear and nonlocal sound propagation is derived. Its limiting cases are analyzed; the respective asymptotic solutions are shown. The dependence of sound velocity on the dimension of cellular space has been established.

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Periodical:

Solid State Phenomena (Volume 113)

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526-530

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June 2006

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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[1] T. Pietronero, E. Tosatti E. (Eds): Fractals in Physics (Elsevier Science Publishers B.V., North- Holland, 1986).

Google Scholar

[2] J. S. Lin, M. Y. Tang: Fellers fractal analysis of cotton cellulose as characterized by smallangle X-ray scattering (ACS Symp. Ser. Vol. 340, pt. 14, 1987), pp.233-254.

DOI: 10.1021/bk-1987-0340.ch014

Google Scholar

[3] S. G. Samko, A. A. Kilbas and O. I. Marichev: Fractional Integrals and Derivatives. Theory and Applications (Gordon and Breach, Amsterdam 1993).

Google Scholar

[4] R. R. Nigmatullin: The realization of the generalized transfer equation in a medium with fractal geometry (Phys. Stat. So. (b). Vol. 133, 1986) pp.425-430.

DOI: 10.1002/pssb.2221330150

Google Scholar

[5] R. Hilfer (Ed. ): Applications of Fractional Calculus in Physics (World ScientiЇc Pub. Co, Singapore, 2000).

Google Scholar

[6] P. Miškinis: On the suppositional existence of fractional (super) p-branes (Phys. Lett. A. Vol. 146, No 4, 1990) pp.155-158.

Google Scholar

[7] M. Mulder: Basic principles of membrane technology (Kluwer Acad. Publishers, Dordrecht. Boston. London, 1995).

Google Scholar

[8] G. M. Zaslavsky: Chaos, fractional kinetics, and anomalous transport (Phys. Rep. Vol. 371, 2002) pp.461-580.

DOI: 10.1016/s0370-1573(02)00331-9

Google Scholar

[9] P. Miškinis: Nonlinear and Nonlocal Integrable Models (Technika; Vilnius) 2003 (in Lithuanian).

Google Scholar