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Time Domain Impedance Boundary Conditions for a Slip Mean FlowBoundary
Author(s) -
Zhuang M.,
Zheng S.,
Thiele F.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410246
Subject(s) - mechanics , electrical impedance , boundary value problem , slip (aerodynamics) , no slip condition , displacement (psychology) , boundary (topology) , acoustics , physics , materials science , boundary layer thickness , mathematics , mathematical analysis , boundary layer , thermodynamics , psychology , quantum mechanics , psychotherapist
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)