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High frequency formulation for the acoustic power spectrum due to cascade - turbulence interaction

High frequency formulation for the acoustic power spectrum due to cascade - turbulence interaction
High frequency formulation for the acoustic power spectrum due to cascade - turbulence interaction
This paper investigates the noise radiated by a cascade of flat-plate airfoils interacting with homogeneous, isotropic turbulence. An analytic formulation for the spectrum of acoustic power of a two-dimensional flat-plate is derived. The main finding of this paper is that the acoustic power spectrum from the cascade of flat airfoils may be split into two distinct frequency regions of low frequency and high frequency, separated by a critical frequency. Below this frequency, cascade effects due to the interaction between neighboring airfoils are shown to be important.
At frequencies above the critical frequency, cascade effects are shown to be relatively weak. In this frequency range, acoustic power is shown to be approximately proportional to the number of blades. Based on this finding at high frequencies, an approximate expression is derived for the power spectrum that is valid above the critical frequency and which is in excellent agreement with the exact expression for the broadband power spectrum. The formulation is used to perform a parametric study on the effects on the power spectrum of the blade number, stagger angle, gap-chord ratio, and Mach number. The theory is also shown to provide a close fit to the measured spectrum of rotor-stator interaction.
0001-4966
108-122
Cheong, Cheolung
8891ef93-d484-4d86-b50d-db37154ab922
Joseph, Phillip
9c30491e-8464-4c9a-8723-2abc62bdf75d
Lee, Soogab
7a4eacfa-79b1-4143-9852-e69ff4ed8780
Cheong, Cheolung
8891ef93-d484-4d86-b50d-db37154ab922
Joseph, Phillip
9c30491e-8464-4c9a-8723-2abc62bdf75d
Lee, Soogab
7a4eacfa-79b1-4143-9852-e69ff4ed8780

Cheong, Cheolung, Joseph, Phillip and Lee, Soogab (2006) High frequency formulation for the acoustic power spectrum due to cascade - turbulence interaction. Journal of the Acoustical Society of America, 119 (1), 108-122. (doi:10.1121/1.2139626).

Record type: Article

Abstract

This paper investigates the noise radiated by a cascade of flat-plate airfoils interacting with homogeneous, isotropic turbulence. An analytic formulation for the spectrum of acoustic power of a two-dimensional flat-plate is derived. The main finding of this paper is that the acoustic power spectrum from the cascade of flat airfoils may be split into two distinct frequency regions of low frequency and high frequency, separated by a critical frequency. Below this frequency, cascade effects due to the interaction between neighboring airfoils are shown to be important.
At frequencies above the critical frequency, cascade effects are shown to be relatively weak. In this frequency range, acoustic power is shown to be approximately proportional to the number of blades. Based on this finding at high frequencies, an approximate expression is derived for the power spectrum that is valid above the critical frequency and which is in excellent agreement with the exact expression for the broadband power spectrum. The formulation is used to perform a parametric study on the effects on the power spectrum of the blade number, stagger angle, gap-chord ratio, and Mach number. The theory is also shown to provide a close fit to the measured spectrum of rotor-stator interaction.

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Published date: 2006

Identifiers

Local EPrints ID: 28369
URI: https://eprints.soton.ac.uk/id/eprint/28369
ISSN: 0001-4966
PURE UUID: ab1141a6-87db-414d-a382-ff5993707925

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Date deposited: 02 May 2006
Last modified: 17 Jul 2017 16:01

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