Imperial College London
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Professor Aimee S. Morgans

Faculty of Engineering, Department of Mechanical Engineering

Professor of Thermofluids
 
 
 
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Contact

 

+44 (0)20 7594 9975a.morgans

 
 
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Location

 

621City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Wang:2023:10.1016/j.ast.2022.108016,
author = {Wang, D and Nan, J and Yang, L and Morgans, AS and Li, J},
doi = {10.1016/j.ast.2022.108016},
journal = {Aerospace Science and Technology},
pages = {1--14},
title = {Analytical solutions for the acoustic field in thin annular combustion chambers with linear gradients of cross-sectional area and mean temperature},
url = {http://dx.doi.org/10.1016/j.ast.2022.108016},
volume = {132},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Wang,D
AU  - Nan,J
AU  - Yang,L
AU  - Morgans,AS
AU  - Li,J
DO  - 10.1016/j.ast.2022.108016
EP  - 14
PY  - 2023///
SN  - 1270-9638
SP  - 1
TI  - Analytical solutions for the acoustic field in thin annular combustion chambers with linear gradients of cross-sectional area and mean temperature
T2  - Aerospace Science and Technology
UR  - http://dx.doi.org/10.1016/j.ast.2022.108016
UR  - https://www.sciencedirect.com/science/article/pii/S1270963822006903?via%3Dihub
UR  - http://hdl.handle.net/10044/1/101117
VL  - 132
ER  -
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