Hydrodynamic instabilities and surface waves in a flow over an impedance wall

S.W. Rienstra

doi:10.1007/978-3-642-82758-7_44

Hydrodynamic instabilities and surface waves in a flow over an impedance wall

S.W. Rienstra

Center for Analysis, Scientific Computing & Appl.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

A 2-D analysis is made of the surface waves in a subsonic compressible uniform mean flow along an impedance wall. It is found that a maximum of four surface waves is possible. The regions of existence in complex impedance and wave number planes are given. One wave is found to travel upstream, while the others, one of which is an instability, propagate downstream. A Wiener-Hopf solution of plane wave scattering at a hard/soft discontinuity of the wall impedance is constructed, in which the instability wave provides the additional degree of freedom to satisfy the Kutta condition at the impedance jump. The present waves are limiting forms of certain irregular acoustic duct modes.

Original language	English
Title of host publication	Aero- And Hydro-acoustics : IUTAM Symposium Ecole Centrale de Lyon. 3-6 July, 1985
Editors	G. Comte-Bellot, John Ffowcs-Williams
Place of Publication	Heidelberg
Publisher	Springer
Pages	483-490
ISBN (Electronic)	978-3-642-82758-7
ISBN (Print)	978-3-642-82760-0
DOIs	https://doi.org/10.1007/978-3-642-82758-7_44
Publication status	Published - 1986
Event	1985 IUTAM Symposium Aero- And Hydro-acoustics, July 3-6, 1985, Lyon, France - Ecole Centrale de Lyon, Lyon, France Duration: 3 Jul 1985 → 6 Jul 1985

Conference

Conference	1985 IUTAM Symposium Aero- And Hydro-acoustics, July 3-6, 1985, Lyon, France
Country	France
City	Lyon
Period	3/07/85 → 6/07/85

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10.1007/978-3-642-82758-7_44

Cite this

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title = "Hydrodynamic instabilities and surface waves in a flow over an impedance wall",

abstract = "A 2-D analysis is made of the surface waves in a subsonic compressible uniform mean flow along an impedance wall. It is found that a maximum of four surface waves is possible. The regions of existence in complex impedance and wave number planes are given. One wave is found to travel upstream, while the others, one of which is an instability, propagate downstream. A Wiener-Hopf solution of plane wave scattering at a hard/soft discontinuity of the wall impedance is constructed, in which the instability wave provides the additional degree of freedom to satisfy the Kutta condition at the impedance jump. The present waves are limiting forms of certain irregular acoustic duct modes.",

author = "S.W. Rienstra",

year = "1986",

doi = "10.1007/978-3-642-82758-7_44",

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pages = "483--490",

editor = "G. Comte-Bellot and John Ffowcs-Williams",

booktitle = "Aero- And Hydro-acoustics : IUTAM Symposium Ecole Centrale de Lyon. 3-6 July, 1985",

publisher = "Springer",

address = "Germany",

note = "null ; Conference date: 03-07-1985 Through 06-07-1985",

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Rienstra, SW 1986, Hydrodynamic instabilities and surface waves in a flow over an impedance wall. in G Comte-Bellot & J Ffowcs-Williams (eds), Aero- And Hydro-acoustics : IUTAM Symposium Ecole Centrale de Lyon. 3-6 July, 1985 . Springer, Heidelberg , pp. 483-490, 1985 IUTAM Symposium Aero- And Hydro-acoustics, July 3-6, 1985, Lyon, France, Lyon, France, 3/07/85. https://doi.org/10.1007/978-3-642-82758-7_44

Hydrodynamic instabilities and surface waves in a flow over an impedance wall. / Rienstra, S.W.

Aero- And Hydro-acoustics : IUTAM Symposium Ecole Centrale de Lyon. 3-6 July, 1985 . ed. / G. Comte-Bellot; John Ffowcs-Williams. Heidelberg : Springer, 1986. p. 483-490.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Hydrodynamic instabilities and surface waves in a flow over an impedance wall

AU - Rienstra, S.W.

PY - 1986

Y1 - 1986

N2 - A 2-D analysis is made of the surface waves in a subsonic compressible uniform mean flow along an impedance wall. It is found that a maximum of four surface waves is possible. The regions of existence in complex impedance and wave number planes are given. One wave is found to travel upstream, while the others, one of which is an instability, propagate downstream. A Wiener-Hopf solution of plane wave scattering at a hard/soft discontinuity of the wall impedance is constructed, in which the instability wave provides the additional degree of freedom to satisfy the Kutta condition at the impedance jump. The present waves are limiting forms of certain irregular acoustic duct modes.

AB - A 2-D analysis is made of the surface waves in a subsonic compressible uniform mean flow along an impedance wall. It is found that a maximum of four surface waves is possible. The regions of existence in complex impedance and wave number planes are given. One wave is found to travel upstream, while the others, one of which is an instability, propagate downstream. A Wiener-Hopf solution of plane wave scattering at a hard/soft discontinuity of the wall impedance is constructed, in which the instability wave provides the additional degree of freedom to satisfy the Kutta condition at the impedance jump. The present waves are limiting forms of certain irregular acoustic duct modes.

U2 - 10.1007/978-3-642-82758-7_44

DO - 10.1007/978-3-642-82758-7_44

M3 - Conference contribution

SN - 978-3-642-82760-0

SP - 483

EP - 490

BT - Aero- And Hydro-acoustics : IUTAM Symposium Ecole Centrale de Lyon. 3-6 July, 1985

A2 - Comte-Bellot, G.

A2 - Ffowcs-Williams, John

PB - Springer

CY - Heidelberg

Y2 - 3 July 1985 through 6 July 1985

ER -

Hydrodynamic instabilities and surface waves in a flow over an impedance wall

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