The propagation of periodic (cnoidal) longitudinal plane waves and solitons in a porous medium with hollows filled with a liquid was investigated on the assumption that the energy of a wave is not dissipated in the medium. The influence of the parameters of this system, in particular, the sizes of the spherical hollows, on the main parameters (amplitude and width) of a solitary wave propagating in the medium and the influence of the nonlinearity of the velocity of this wave on its amplitude and wave number were determined. The results obtained were compared with the corresponding data for solitons demonstrating classical behavior. The dispersion properties of a porous medium with hollows filled with a liquid were considered, and the behavior of the corresponding dispersion curves depending on the changing parameters of the medium was analyzed.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 90, No. 6, pp. 1441–1450, November–December, 2017.
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Aizikovich, S.M., Erofeev, V.I. & Leont’eva, A.V. Nonlinear Plane Waves Localized in a Porous Medium with Hollows Filled with a Liquid. J Eng Phys Thermophy 90, 1369–1378 (2017). https://doi.org/10.1007/s10891-017-1695-6
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DOI: https://doi.org/10.1007/s10891-017-1695-6