The University of Southampton
University of Southampton Institutional Repository

Analytic solutions for reduced leading-edge noise aerofoils

Analytic solutions for reduced leading-edge noise aerofoils
Analytic solutions for reduced leading-edge noise aerofoils

This paper presents an analytic solution for the sound generated by an unsteady gust interacting with a semi-infinite at plate with a piecewise linear periodic leading edge. The Wiener-Hopf method is used in conjunction with a non-orthogonal coordinate transformation and separation of variables to allow analytical progress. A fully analytic solution is obtained in terms of a modal expansion for the far-field noise which is obtained by summing only a finite number of cuton modes, allowing very quick evaluation. The analytic solution is compared to experimental results for five test case leading-edge geometries. Good agreement is seen indicating the analytic model is capturing the key features of the interaction such as the destructive interference from the tip and root. In four of the five test cases the serrated edges show large reductions of noise compared to the straight edge at mid and high frequencies, however the square wave geometry is seen to be ineffective at noise reduction for high frequencies.

American Institute of Aeronautics and Astronautics
Ayton, Lorna J.
58d53540-2704-4eaa-acfc-dcaee78637ac
Paruchuri, Chaitanya
5c1def64-6347-4be3-ac2d-b9f6a314b81d
Ayton, Lorna J.
58d53540-2704-4eaa-acfc-dcaee78637ac
Paruchuri, Chaitanya
5c1def64-6347-4be3-ac2d-b9f6a314b81d

Ayton, Lorna J. and Paruchuri, Chaitanya (2018) Analytic solutions for reduced leading-edge noise aerofoils. In 2018 AIAA/CEAS Aeroacoustics Conference. American Institute of Aeronautics and Astronautics.. (doi:10.2514/6.2018-3284).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper presents an analytic solution for the sound generated by an unsteady gust interacting with a semi-infinite at plate with a piecewise linear periodic leading edge. The Wiener-Hopf method is used in conjunction with a non-orthogonal coordinate transformation and separation of variables to allow analytical progress. A fully analytic solution is obtained in terms of a modal expansion for the far-field noise which is obtained by summing only a finite number of cuton modes, allowing very quick evaluation. The analytic solution is compared to experimental results for five test case leading-edge geometries. Good agreement is seen indicating the analytic model is capturing the key features of the interaction such as the destructive interference from the tip and root. In four of the five test cases the serrated edges show large reductions of noise compared to the straight edge at mid and high frequencies, however the square wave geometry is seen to be ineffective at noise reduction for high frequencies.

Full text not available from this repository.

More information

e-pub ahead of print date: 24 June 2018
Published date: 25 June 2018
Venue - Dates: AIAA/CEAS Aeroacoustics Conference, 2018, Atlanta, United States, 2018-06-25 - 2018-06-29

Identifiers

Local EPrints ID: 424619
URI: https://eprints.soton.ac.uk/id/eprint/424619
PURE UUID: 26b023be-453b-4f23-9d04-853bb17202bb

Catalogue record

Date deposited: 05 Oct 2018 11:39
Last modified: 17 Jan 2019 17:30

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×