Acoustic Wave Propagation in Viscothermal Fluids: An Electromagnetic Analogy
Résumé
First, we recall the Navier-Stokes-Fourier model linearized equations, which govern the propagation of small amplitude, long wavelength waves in viscothermal fluids; we specify how these equations are derived from several thermodynamic simplications, and examine some of their solutions. Then, we analyze the general pattern of macroscopic nonlocal equations of propagation of small amplitude electromagnetic waves in effective homogeneous media, taking into account both the temporal and spatial dispersion. We argue that we lack a whole thermodynamics to fully precise all intervening quantities; proceeding by analogy, we then suggest that for the general acoustics of a homogeneous fluid, an analogous general pattern of nonlocal equations of propagation would arise, if we had suffcient thermodynamics. These ideas are finally implemented to obtain, within the available Navier-Stokes-Fourier's model, a nonlocal description of compressional waves.
Mots clés
Spatial and temporal dispersion
Macroscopic Electromagnetism
Extended Irreversible Thermodynamics
Viscothermal fluids
Poynting Vector
Umov Vector
Macroscopic Acoustics
Electromagnetic Analogy
Electromagnetic-Acoustic Analogy
Nonlocal Propagation
Nonlocal Effects
Nonlocal Susceptibilities
Symmetries
Variances
Tensor Densities
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Chap6_DL_Acoust Wave Prop in Visc Therm Fluids.pdf (62.65 Mo)
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