A note on poroacoustic traveling waves under Forchheimerʼs law

Acoustic traveling waves in a gas that saturates a rigid porous medium is investigated under the assumption that the drag experienced by the gas is modeled by Forchheimerʼs law. Exact traveling wave solutions (TWS)s, as well as approximate and asymptotic expressions, are obtained; decay rates are de...

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Bibliographic Details
Published in:Physics letters. A 2013-08, Vol.377 (19-20), p.1350-1357
Main Author: Jordan, P.M.
Format: Article
Language:English
Subjects:
Acceleration waves
Approximation
Asymptotic properties
Forchheimerʼs law
Law
Mathematical models
Nonlinear poroacoustics
Porous media
Solid state physics
Traveling wave solutions
Traveling waves
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Summary:Acoustic traveling waves in a gas that saturates a rigid porous medium is investigated under the assumption that the drag experienced by the gas is modeled by Forchheimerʼs law. Exact traveling wave solutions (TWS)s, as well as approximate and asymptotic expressions, are obtained; decay rates are determined; and acceleration wave results are presented. In addition, special cases are considered, critical values of the wave variable and parameters are derived, and comparisons with predictions based on Darcyʼs law are performed. It is shown that, with respect to the Darcy case, most of the metrics that characterize such waveforms exhibit an increase in magnitude under Forchheimerʼs law.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2013.03.041