Analytical solutions for the acoustic field in thin annular combustion chambers with linear gradients of cross-sectional area and mean temperature
OA Location
Author(s)
Wang, Dongbin
Nan, Jiaqi
Yang, Lijun
Morgans, Aimee S
Li, Jingxuan
Type
Journal Article
Abstract
Predictions of thermoacoustic instabilities in annular combustors are essential but difficult. Axial variations of flow and thermal parameters increase the cost of numerical simulations and restrict the application of analytical solutions. This work aims to find approximate analytical solutions for the acoustic field in annular ducts with linear gradients of axially non-uniform cross-sectional area and mean temperature. These solutions can be applied in low-order acoustic network models and enhance the ability of analytical methods to solve thermoacoustic instability problems in real annular chambers. A modified WKB method is used to solve the wave equation for the acoustic field, and an analytical solution with a wide range of applications is derived. The derivation of the equations requires assumptions such as low Mach number, high frequency and small non-uniformity. Cases with arbitrary distributions of cross-sectional surface area and mean temperature can be solved by the piecewise method as long as the assumptions are satisfied along the entire chamber.
Date Issued
2023-01
Date Acceptance
2022-11-16
Citation
Aerospace Science and Technology, 2023, 132, pp.1-14
ISSN
1270-9638
Publisher
Elsevier BV
Start Page
1
End Page
14
Journal / Book Title
Aerospace Science and Technology
Volume
132
Copyright Statement
© 2022 Elsevier Masson SAS. All rights reserved.
Sponsor
Commission of the European Communities
Identifier
https://www.sciencedirect.com/science/article/pii/S1270963822006903?via%3Dihub
Grant Number
772080
Subjects
physics.flu-dyn
physics.flu-dyn
Aerospace & Aeronautics
0901 Aerospace Engineering
0913 Mechanical Engineering
Publication Status
Published
Article Number
108016
Date Publish Online
2022-11-22