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Interaction of Modes in Nonlinear Acoustics: Theory and Applications to Pulse Dynamics

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A method of projecting is offered for a nonlinear flow of media treated by an arbitrary equation of state. The modes are defined due to relations between specific disturbances following from the linear system of equations for the thermoviscous flow. The heat mode is related as a basic type of motion, it is certainly not secondary, induced by acoustic perturbations. The weak nonlinear evolution equations for the interacting acoustic and heat modes are derived. The self-reflected wave phenomenon caused by the arbitrary (non- periodic included) waveform is discussed in the framework of the present approach. Formulae on evolution of the reflected wave induced by pulse are presented. The address to appropriate expressions for equations of state provided by statistical thermodynamics applies to calculation of sound velocity and nonlinear parameters of the non-ideal fluids in a wide area of equilibrium states. An example of gases obeying the van der Waals equation of state is presented.
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Document Type: Research Article

Publication date: January 1, 2003

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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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