Mechanical Engineering Faculty Research

Title

Non-Linear Propagation of Directional Cylindrical Waves

Document Type

Article

Publication Date

Winter 12-8-1981

Abstract

The method of renormalization is used to determine a uniformly valid expansion for the problem of non-linear waves produced in a fluid by the harmonic pulsations of a finite circular cylinder. For a uniform expansion, both the radial and axial distances need to be strained. The effect of dimensionless quantities upon the acoustic shock-formation distance is examined. The results show that the wave produced consists of a number of groups that propagate without any mutual interaction.

Publication Title

Journal of Sound and Vibration

Volume

79

Issue

3

First Page

415

Last Page

428