RADIATION OF SOUND FROM A CIRCULAR DISK WITH A UNIFORM PRESSURE DISTRIBUTION,
Abstract
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 pressre 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 a constant velocity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1964
- Accession Number
- AD0439374
Entities
People
- Visvaldis Mangulis
Organizations
- Control Data Corporation