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The importance of the unsteady Kutta condition when modelling gust-aerofoil interaction

The importance of the unsteady Kutta condition when modelling gust-aerofoil interaction
The importance of the unsteady Kutta condition when modelling gust-aerofoil interaction
The Kutta condition is applied to aerofoils with sharp trailing edges to allow for viscous effects to be considered within a simplified system of equations that are inviscid. This paper discusses in detail the inclusion of an unsteady Kutta condition at a sharp trailing edge during gust-aerofoil interaction, and illustrates how the analytic solution for the far-field noise generated by this interaction changes if the unsteady Kutta condition is neglected, or more precisely, if the unsteady pressure is permitted to be singular at the trailing edge. The analytic solution, both with and without the unsteady Kutta condition, is compared with numerical results that have no imposed unsteady Kutta condition. Importantly the results agree well only when the unsteady Kutta condition is neglected in the analytic solution. This paper highlights where the far-field acoustics are most affected by neglecting the unsteady Kutta condition for a variety of singularities that can occur in the unsteady pressure at the trailing edge, and shows that results permitting different behaviour in the unsteady surface pressure at the trailing edge could give significantly different far-field noise predictions, even though the surface pressure elsewhere along the aerofoil surface agrees with benchmark solutions
0022-460X
28-37
Ayton, Lorna
5e1d9202-7a93-4d53-8db9-8a8efe37d4d6
Gill, James
1e31eb24-f833-462e-b610-23b5b28e7285
Peake, Nigel
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Ayton, Lorna
5e1d9202-7a93-4d53-8db9-8a8efe37d4d6
Gill, James
1e31eb24-f833-462e-b610-23b5b28e7285
Peake, Nigel
d2e0bac7-f925-4c37-a152-06720f51fbe4

Ayton, Lorna, Gill, James and Peake, Nigel (2016) The importance of the unsteady Kutta condition when modelling gust-aerofoil interaction. Journal of Sound and Vibration, 378, 28-37. (doi:10.1016/j.jsv.2016.05.036).

Record type: Article

Abstract

The Kutta condition is applied to aerofoils with sharp trailing edges to allow for viscous effects to be considered within a simplified system of equations that are inviscid. This paper discusses in detail the inclusion of an unsteady Kutta condition at a sharp trailing edge during gust-aerofoil interaction, and illustrates how the analytic solution for the far-field noise generated by this interaction changes if the unsteady Kutta condition is neglected, or more precisely, if the unsteady pressure is permitted to be singular at the trailing edge. The analytic solution, both with and without the unsteady Kutta condition, is compared with numerical results that have no imposed unsteady Kutta condition. Importantly the results agree well only when the unsteady Kutta condition is neglected in the analytic solution. This paper highlights where the far-field acoustics are most affected by neglecting the unsteady Kutta condition for a variety of singularities that can occur in the unsteady pressure at the trailing edge, and shows that results permitting different behaviour in the unsteady surface pressure at the trailing edge could give significantly different far-field noise predictions, even though the surface pressure elsewhere along the aerofoil surface agrees with benchmark solutions

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Accepted/In Press date: 19 May 2016
e-pub ahead of print date: 1 June 2016
Published date: 15 September 2016
Organisations: Aeronautics, Astronautics & Comp. Eng

Identifiers

Local EPrints ID: 396437
URI: https://eprints.soton.ac.uk/id/eprint/396437
ISSN: 0022-460X
PURE UUID: cc055e90-40c8-406c-8b98-922ab3dfc597

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Date deposited: 09 Jun 2016 11:58
Last modified: 22 May 2018 04:01

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Contributors

Author: Lorna Ayton
Author: James Gill
Author: Nigel Peake

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