Some remarks on nonlinear poroacoustic phenomena

P.M. Jordan

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 1, 202-211

Abstract: Using perturbation analysis, we study the behavior and propagation of finite-amplitude harmonic waves in the context of the poroacoustic version of Stokes’ second problem. Low- and high-frequency expressions are derived, critical parameter values are determined, and we compare the solution obtained with those of the corresponding linear and lossless problems. In addition, numerical results are presented, a connection between the breakdown of the present perturbation solution and poroacoustic acceleration wave amplitude blow-up is noted, and a generalization of the model equation used in this study is briefly discussed.

Keywords: Nonlinear poroacoustics; Darcy’s law; Perturbation analysis; Stokes’ second problem (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:1:p:202-211

DOI: 10.1016/j.matcom.2009.06.004

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