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Time Domain Impedance Boundary Conditions for a Slip Mean FlowBoundary

  1. M. Zhuang Associate Professor1,*,
  2. S. Zheng Graduate Research Assistant1,
  3. F. Thiele Director, Professor2

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410246

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 530–531, December 2004

Additional Information

How to Cite

Zhuang, M., Zheng, S. and Thiele, F. (2004), Time Domain Impedance Boundary Conditions for a Slip Mean FlowBoundary. Proc. Appl. Math. Mech., 4: 530–531. doi: 10.1002/pamm.200410246

Author Information

  1. 1

    Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824, USA

  2. 2

    Hermann-Foettinger-Institute of Fluid Mechanics, Berlin University of Technology, Mueller-Breaslau-Str. 8, D-10623 Berlin, Germany

*Phone: +1 517 353 9450, Fax: +1 517 353 1750

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

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Abstract

In modeling the physical condition of an impedance boundary, the assumption of either particle displacement continuity (PDC) or particle normal velocity continuity (PVC) at the interface between the acoustic treatment and the adjacent fluid needs to be used. Although it is well accepted that the impedance boundary condition derived from the PDC is the appropriate impedance boundary condition when there is a slip mean flow at the liner surface, the time domain impedance boundary condition is however unstable due to the Kelvin-Helmholtz instability associated with the ”vortex sheet.” In this paper, an effective time domain impedance boundary condition for a slip mean flow boundary is proposed and validated. Several relevant issues related to the PDC and PVC are discussed. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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