Accession Number : AD0018357

Title :   ON THE THEORY OF SOUND REFLECTION IN AN OPEN-ENDED CYLINDRICAL TUBE

Corporate Author : HARVARD UNIV CAMBRIDGE MASS ACOUSTICS RESEARCH LAB

Personal Author(s) : LEVINE,HAROLD

Report Date : 01 APR 1953

Pagination or Media Count : 1

Abstract : A study was made of plane-sound-wave propagation within a cylindrical tube having an arbitrary cross section and extending indefinately from an open end. The reflection coefficient and the end correction (which characterizes the reflection coefficient at wave lengths large compared to the transverse tube dimensions) comprise a boundary-value formulation of the wave-propagation problem. The solution involves integral equations which in general cannot be evaluated exactly. Practical techniques including stationary or variational principles were employed to determine approximately the physical quantities. Another technique was based on the initial modification of an integral equation to utilize the possibility of an explicit and rigorous solution. Approximate forms of the reflection coefficient and end correction were obtained which yielded exact results for a tube of circular cross section. A brief comparison is included to the circular tube.

Descriptors :   CIRCULAR, COEFFICIENTS, CORRECTIONS, CROSS SECTIONS, CYLINDRICAL BODIES, FREQUENCY, INTEGRAL EQUATIONS, PHYSICAL PROPERTIES, QUANTITY, REFLECTION, STATIONARY, TRANSVERSE, TUBES, VARIATIONAL PRINCIPLES.

Distribution Statement : APPROVED FOR PUBLIC RELEASE