期刊
JOURNAL OF FLUID MECHANICS
卷 625, 期 -, 页码 1-46出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022112008005545
关键词
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资金
- Engineering and Physical Sciences Research Council [EP/D03244X/1] Funding Source: researchfish
A theory is described for propagation of vortical waves across alternate rigid and compliant panels. The structure in the fluid side at the junction of panels is I highly vortical narrow viscous structure which is idealized as a wave driver. The wave driver is modelled as a Source CLIM half sink. The Incoming wave terminates into this Structure and the outgoing wave model is described by outgoing wave emanates from it. The half Fourier-Laplace transforms respectively for the upstream and downstream sides of the junction. The cases below cutoff and above cutoff frequencies Are Studied. The theory completely reproduces the direct numerical simulation results of Davies & Carpenter (J. Fluid Mech., vol. 335, 1997 p. 361). Particularly, the jumps across the junction in the kinetic energy integral, the vorticity integral and other related quantities as obtained in the work of Davies & Carpenter are completely reproduced. Also, sonic Important new concepts emerge, notable amongst which is the concept of the pseudo group velocity.
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