中文版 | English
Title

A Magnus-expansion-based model for the sound generated by non-plane entropy perturbations passing through nozzles

Author
Corresponding AuthorYeddula,Saikumar R.
DOI
Publication Years
2022
Source Title
Abstract
This paper presents an analytical model based on the Magnus-expansion method to predict the sound generated by the acceleration/deceleration of non-planar entropy perturbations in nozzles. Previous models assume that entropy perturbations reaching the inlet of the nozzle are one-dimensional, plane waves and remain plane inside the nozzle. However, studies of the convection of entropy waves throughout the combustor have confirmed that effects, such as shear dispersion and turbulent mixing, deform and attenuate the entropy perturbations as they propagate. It is thus very unlikely that entropy waves have a uniform distribution at the inlet and/or inside the nozzles but, instead, a more complex shape is expected. This alters the acoustic response significantly, particularly at higher frequencies. In this work, we adapt an existing model for entropy noise to account for non-plane effects at both the inlet and/or within the nozzle. To this end, we use the Magnus-expansion-based analytical model to solve the linearised form of the Euler equations of an inviscid, perfect, compressible gas flowing inside an isentropic nozzle. The three-dimensional entropy wave profile is sampled from numerical simulations across various frequencies. This profile is then fed to the model to capture the acoustic response. The model predictions of the nozzle’s acoustic transmission and reflection coefficients are successfully validated against numerical simulations across a wide range of frequencies.
SUSTech Authorship
Others
Language
English
URL[Source Record]
Indexed By
EI Accession Number
20223112463006
EI Keywords
Acoustic wave propagation ; Analytical models ; Aviation ; Compressibility of gases ; Nozzles ; Numerical models ; Shear flow
ESI Classification Code
Air Transportation, General:431.1 ; Fluid Flow, General:631.1 ; Thermodynamics:641.1 ; Acoustic Waves:751.1 ; Mathematics:921 ; Physical Properties of Gases, Liquids and Solids:931.2
Scopus EID
2-s2.0-85135046033
Data Source
Scopus
Citation statistics
Cited Times [WOS]:0
Document TypeConference paper
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/365073
DepartmentSouthern University of Science and Technology
Affiliation
1.Dept. Mechanical Engineering,Imperial College London,United Kingdom
2.Southern University of Science and Technology,Guangdong,China
Recommended Citation
GB/T 7714
Yeddula,Saikumar R.,Guzmán-Iñigo,Juan,Morgans,Aimee S.,et al. A Magnus-expansion-based model for the sound generated by non-plane entropy perturbations passing through nozzles[C],2022.
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