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Advances in Acoustics and Vibration
Volume 2010, Article ID 174361, 6 pages
Research Article

A Consistency Test of Thickness and Loading Noise Codes Using Ffowcs Williams and Hawkings Equation

DynFluid Laboratory, Arts et Métiers ParisTech, 151, boulevard de l'Hôpital, 75013 Paris, France

Received 12 March 2010; Accepted 19 May 2010

Academic Editor: Kim M. Liew

Copyright © 2010 Sofiane Khelladi and Farid Bakir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The thickness noise predicted by the Ffowcs Williams and Hawkings (FW&H) equation depends on the normal velocity 𝑣 𝑛 which is very sensitive to the meshing size. Isom showed that in far field a monopolar source is equivalent to a dipolar source induced by a uniform distribution of the load on the entire moving surface. The main objective of this paper is to determine a specific expression of Isom's thickness noise in time and frequency domains for subsonic fans. The scope of the proposed expression of Isom's thickness noise is to define a benchmark test of consistency for thickness and loading noise codes in both time and frequency domains for subsonic fans when using the free field solution of FW&H's equation.