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Conditions for Bifurcation of the Longitudinal Wave in a Porous Medium

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The critical wave number for the slow longitudinal wave in porous materials has been previously determined using asymptotic methods. However, in some situations, such as porous polymeric materials, the accuracy of the asymptotic assumption behavior is questionable. This paper presents an exact solution for calculation of the critical wave number. The solution is shown to significantly alter the critical wave number for low density highly porous materials such as polymeric porous materials. The potential importance of the measurement of critical wave number is demonstrated by showing the sensitivity of the measure to permeability and the insensitivity of the measure to other input variables.
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Document Type: Research Article

Publication date: March 1, 2009

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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