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The Quarterly Journal of Mechanics and Applied Mathematics Advance Access originally published online on September 15, 2005
The Quarterly Journal of Mechanics and Applied Mathematics 2005 58(3):459-479; doi:10.1093/qjmam/hbi021
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Q. Jl Mech. Appl. Math, Vol. 58. No. 3 © The Author 2005. Published by Oxford University Press 2005; all rights reserved. For Permissions, please email: journals.permissions@oupjournals.org

Diffraction by a half-plane in a moving fluid

P. G. Barton and A. D. Rawlins**

( Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex, UB8 3PH )

** anthony.rawlins{at}brunel.ac.uk

In the following work we solve the problem of the diffraction of a plane sound wave by an impedance half-plane in a moving fluid. Expressions for the total far field are derived for both the leading edge and trailing edge situations. In the trailing edge situation the problem has the added complication of a trailing vortex sheet or wake. Hence a Kutta–Joukowski edge condition is imposed to ensure that the fluid velocity is finite at the edge and to obtain a unique solution to the problem.

Received 17 November 2004. Revise 22 April 2005. Accepted 3 May 2005.


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