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155 - Application of acoustic holography to the sound field with uniform flow
Jeon J., Kim Y.
Abstract
Acoustic holography uses Kirchhoff-Helmholtz integral equation and Green¡¯s function which satisfies Dirichlet boundary condition. Applications of acoustic holography have been taken to the sound field neglecting the effect of flow. The uniform flow, however, changes sound field and the governing equation, Green¡¯s function and so on. This implies that the conventional method of acoustic holography cannot be used anymore when the effect of uniform flow is not negligible. So another type of acoustic holography should be applied using changed Kirchhoff-Helmholtz integral equation and Green¡¯s function. Furthermore, it is not easy to find Green¡¯s function satisfying homogeneous Dirichlet boundary condition even if we know free field Green¡¯s function with uniform flow. In this research, one method to apply acoustic holography to the sound field with mean flow is introduced by using modification forms of Kirchhoff-Helmholtz integral equation and Green¡¯s function due to mean flow. This includes one way to find Green¡¯s function satisfying homogeneous Dirichlet boundary condition which can be easily explained physically in the case of plane wave, and extended to the general case: 3D sound field. Numerical calculation shows that this prediction method can reduce errors which may give some problem when conventional prediction method is used in existence of uniform flow.
Citation
Jeon J.; Kim Y.: Application of acoustic holography to the sound field with uniform flow, CD-ROM Proceedings of the Thirtheenth International Congress on Sound and Vibration (ICSV13), July 2-6, 2006, Vienna, Austria, Eds.: Eberhardsteiner, J.; Mang, H.A.; Waubke, H., Publisher: Vienna University of Technology, Austria, ISBN: 3-9501554-5-7