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Trailing edge noise theory for rotating blades in uniform flow

Trailing edge noise theory for rotating blades in uniform flow
Trailing edge noise theory for rotating blades in uniform flow
This paper presents a new formulation for trailing edge noise radiation from rotating blades based on an analytical solution of the convective wave equation. It accounts for distributed loading and the effect of mean flow and spanwise wavenumber. A commonly used theory due to Schlinker and Amiet predicts trailing edge noise radiation from rotating blades. However, different versions of the theory exist; it is not known which version is the correct one, and what the range of validity of the theory is. This paper addresses both questions by deriving Schlinker and Amiet's theory in a simple way and by comparing it with the new formulation, using model blade elements representative of a wind turbine, a cooling fan and an aircraft propeller. The correct form of Schlinker and Amiet's theory is identified. It is valid at high enough frequency, i.e. for a Helmholtz number relative to chord greater than one and a rotational frequency much smaller than the angular frequency of the noise sources.
trailing edge noise, aeroacoustics, broadband noise, rotor noise, aerofoil noise
1364-5021
20130065-[21pp]
Sinayoko, Samuel
0e4346ca-1a26-481d-8241-f83730f6b0e4
Kingan, M.J.
2d2daafa-d6d7-41aa-a9fc-2307259ac9f0
Agarwal, Anurag
f63a9325-bd24-4341-8727-42a87cc5a163
Sinayoko, Samuel
0e4346ca-1a26-481d-8241-f83730f6b0e4
Kingan, M.J.
2d2daafa-d6d7-41aa-a9fc-2307259ac9f0
Agarwal, Anurag
f63a9325-bd24-4341-8727-42a87cc5a163

Sinayoko, Samuel, Kingan, M.J. and Agarwal, Anurag (2013) Trailing edge noise theory for rotating blades in uniform flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469 (2157), 20130065-[21pp]. (doi:10.1098/rspa.2013.0065).

Record type: Article

Abstract

This paper presents a new formulation for trailing edge noise radiation from rotating blades based on an analytical solution of the convective wave equation. It accounts for distributed loading and the effect of mean flow and spanwise wavenumber. A commonly used theory due to Schlinker and Amiet predicts trailing edge noise radiation from rotating blades. However, different versions of the theory exist; it is not known which version is the correct one, and what the range of validity of the theory is. This paper addresses both questions by deriving Schlinker and Amiet's theory in a simple way and by comparing it with the new formulation, using model blade elements representative of a wind turbine, a cooling fan and an aircraft propeller. The correct form of Schlinker and Amiet's theory is identified. It is valid at high enough frequency, i.e. for a Helmholtz number relative to chord greater than one and a rotational frequency much smaller than the angular frequency of the noise sources.

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e-pub ahead of print date: 10 July 2013
Published date: September 2013
Keywords: trailing edge noise, aeroacoustics, broadband noise, rotor noise, aerofoil noise
Organisations: Acoustics Group

Identifiers

Local EPrints ID: 354758
URI: http://eprints.soton.ac.uk/id/eprint/354758
ISSN: 1364-5021
PURE UUID: 77f59f77-8f10-4477-be2a-4d138bcbe696

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Date deposited: 22 Jul 2013 12:47
Last modified: 14 Mar 2024 14:23

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Contributors

Author: Samuel Sinayoko
Author: M.J. Kingan
Author: Anurag Agarwal

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