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Velocity of Mass Transport to Model Acoustic Streaming: Numerical Application to Annular Resonators

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The acoustic wave propagation in thermo-viscous fluid can generate slow phenomena such as acoustic streaming, by non-linear processes that are mainly confined in the acoustical boundary layers. Considering the fundamental conservation equations for mass, momentum and energy, and splitting the different time scales for acoustic propagation and acoustic streaming, the equations governing the acoustic streaming are presented in a standard form for a weakly compressible flow. The formulation is based upon the velocity of mass transport as variable. The force responsible for acoustic streaming is composed of quadratic terms that account for the combined acoustical density variation or viscosity variation, and particle velocity. The numerical computation of the unsteady Gedeon streaming flow in annular resonator is done as a validation of this formulation.
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Document Type: Research Article

Publication date: March 1, 2011

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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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