Stability analysis of the JCAPL equivalent fluid model equations for porous media
Résumé
The equivalent fluid model (EFM) describes the acoustic properties of rigid porous media by defining it as a fluid with an effective density and an effective compressibility. Their definition are based on the dynamic tortuosity α and the dynamic compressibility β, known to be complexvalued functions depending on frequency. Among the different models describing α and β, this paper focuses on the Johnson-Champoux-Allard-Pride-Lafarge (JCAPL) model [1] where these parameters are defined as irrational functions, behaving like fractional derivatives in the time domain. Here, we present the proof of stability of the time-domain EFM using the JCAPL model thanks to their oscillatory-diffusive (OD) representations.
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