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Radiation of sound from a circular disk with a uniform pressure distribution

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The velocity potential for a flexible circular disk with a uniform pressure distribution in an infinite rigid planar baffle is calculated. The problem is mathematically similar to the diffraction of a plane wave by a circular aperture. The velocity of the disk which produces the uniform pressure becomes infinite at the edge of the disk. The mixed boundary value problem is solved by expanding the velocity of the piston in an infinite DINI series of BESSEL functions; to find the coefficients in the series one has to solve an infinite set of linear equations. For numerical computations the infinite set is approximated by a finite set of equations. Numerical results for the sound pressure in the far field and the near field, the radiation impedance, and the velocity distribution over the piston are presented. It is shown that the cavitation limited power output from the constant pressure disk exceeds the output from a disk with constant velocity.
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Document Type: Research Article

Publication date: January 1, 1965

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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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