II. The propagation of sound waves in an open-ended channel
- 1 January 1950
- journal article
- research article
- Published by Taylor & Francis in Journal of Computers in Education
- Vol. 41 (312) , 11-33
- https://doi.org/10.1080/14786445008521756
Abstract
An exact solution is obtained for the problem of a harmonic wave of sound approaching the open end of a two-dimensional channel, and suffering reflection and transmission. Within a certain wavelength range, the wave returning along the channel becomes sensibly plane at large distances from the mouth, the reflection coefficient being exp [-2πb/λ], where 2b is the width of the channel and λ is the wavelength. Explicit formulæ are also obtained for the change of phase in the returning wave, and for the transmitted energy. It is also shown that the solution can be used to deduce the energy absorbed froln a plane wave external to the channel and approaching from an arbitrary direction.Keywords
This publication has 3 references indexed in Scilit:
- On the Radiation of Sound from an Unflanged Circular PipePhysical Review B, 1948
- XLVI. On the open organ-pipe problem in two dimensionsJournal of Computers in Education, 1904
- Some Multiform Solutions of the Partial Differential Equations of Physical Mathematics and theri ApplicationsProceedings of the London Mathematical Society, 1898