A Higher Order Acoustic Equation for the Slightly Viscous Case
Compressible flow of a Newtonian fluid is studied in the fully nonlinear approximation and to lowest order in the dissipation. Nonlinear contributions to dissipation are neglected. It is shown that entropy can then be eliminated. An initially vorticity free flow is shown to remain vorticity free. An acoustic equation is derived. If S = M n, the equation obtained is correct to order M n. M is the Mach number (the speed of the fluid divided by the local speed of sound). S is the Stokes number, (the kinematic viscosity divided by the product of the wavelength and the local speed of sound). For n = 1, the equation reduces to the Kuznetsov equation.
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Document Type: Research Article
Publication date: January 1, 2001
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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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