Linear thermoacoustic instability in the time domain

Date

1998-06

Journal Title

Journal ISSN

Volume Title

Publisher

The Journal of the Acoustical Society of America

Abstract

An approximate time-domain description of the development of the thermoacoustic instability in gas-filled tubes is developed by exploiting the difference between the instability time scale and the period of standing waves. The perturbation results compare very favorably with the exact frequency-domain theory of Rott. The perturbation results are further simplified by introducing a short-stack approximation which is numerically much simpler and only slightly less accurate. An approximate expression for the critical temperature gradient accounting for viscous effects and other design features is also derived. In addition to the fundamental mode of a tube closed at both ends, the theory includes higher modes as well as open-end boundary conditions.

Description

Keywords

Phase transitions, Thermoacoustics

Citation

Copyright 1998 The Journal of the Acoustical Society of America. Recommended citation: Karpov, S., and A. Prosperetti. "Linear thermoacoustic instability in the time domain." The Journal of the Acoustical Society of America 103, no. 6 (1998): 3309-3317. DOI: 10.1121/1.423044 URL: https://asa.scitation.org/doi/abs/10.1121/1.423044 Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).