duan_mciver.pdf (236.75 kB)
Rotational acoustic resonances in cylindrical waveguides
preprint
posted on 2005-07-25, 13:17 authored by Yuting Duan, Maureen McIverAn investigation is made into the existence of rotational acoustic resonances in a
circular cylindrical waveguide, and their frequencies of oscillation are calculated
numerically. The guide is assumed to contain a number of radial fins which have
finite extent, and which are distributed at equal azimuthal angles around the guide.
A variational principle is used to prove the existence of different types of localised,
rotational motion, and the frequencies of these spinning modes are computed. The
numerical method is based on the use of a Galerkin technique to solve the integral
equation which arises in the solution of the governing Helmholtz equation. The
variation of the spinning mode frequencies with the number of fins and type of
mode is discussed, and a comparison with non-rotational resonances is made.
History
School
- Science
Department
- Mathematical Sciences
Pages
242436 bytesPublication date
2003Notes
This pre-print has been submitted, an accepted, to the journal, Wave Motion. The definitive version: DUAN, Y. and MCIVER, M., 2004. Rotational acoustic resonances in cylindrical waveguides. Wave Motion, 39(3), pp.261-274 is available at http://www.sciencedirect.com/science/journal/01652125.Language
- en