Chapitre D'ouvrage Année : 2021

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.
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Dates et versions

hal-04678608 , version 1 (28-08-2024)

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Denis Lafarge. Acoustic Wave Propagation in Viscothermal Fluids: An Electromagnetic Analogy. Noé Jiménez; Olga Umnova; Jean-Philippe Groby. Acoustic Waves in Periodic Structures, Metamaterials, and Porous Media. From Fundamentals to Industrial Applications, 143, Springer International Publishing, pp.205-272, 2021, Topics in Applied Physics, 978-3-030-84299-4. ⟨10.1007/978-3-030-84300-7_6⟩. ⟨hal-04678608⟩
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