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Coupled Equations for Particle Velocity and Temperature Variation as the Fundamental Formulation of Linear Acoustics in Thermo-Viscous Fluids at Rest

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This paper addresses a formulation of linear acoustics in thermo-viscous fluids at rest, in the form of a set of two equations for the temperature variation and the particle velocity. These variables are suitable to obtain explicit representation of the total perturbation field, because they are relevant to describe the scalar, potential acoustic and entropic movements, and the associated shear movement induced by viscosity effects. These variables are also relevant to derive boundary conditions, including both the thermal diffusion process through the interfaces between fluid and boundaries and the velocity field of these boundaries. This formulation offers analytical and numerical tools for solving most of the practical problems in thermo-viscous fluids (including thermo-viscous boundary layers) which was not available until now. In order to show the advantages and the efficiency of the formulation, a simple analytical solution is provided for the reflection of a plane wave, accounting for the viscous and thermal effects in the fluid and for thermal diffusion in the rigid wall boundary.
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Document Type: Research Article

Publication date: 01 March 2006

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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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