Vortical perturbations in shear flow, scattered at a hard wall : pressure release wall transition

S.W. Rienstra; D.K. Singh

Vortical perturbations in shear flow, scattered at a hard wall : pressure release wall transition

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

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Abstract

An analytically exact solution for the problem of low Mach number (i.e. incompressible) incident vorticity scattering at a hard - to - pressure release (Z = 0 ) wall transition is obtained using the Wiener-Hopf method. Harmonic vortical perturbations of inviscid linear shear flow are scattered at the wall transition, which results in a pressure-velocity field which is qualitatively different for low shear and high shear cases. The incompressible field produces an acoustic outer field, which can be determined for the low shear case, including a $U^4_0$ relation for the radiated power. The similar behaviour of this Z = 0 solution when compared with the asymptotic behaviour of the solution for finite impedance case confirms the validity of this last solution.

Original language	English
Title of host publication	22nd International Congress on Sound and Vibration (ICSV22, Florence, Italy, July 12-16, 2015)
Place of Publication	s.l.
Publisher	International Institute of Acoustics and Vibration
Pages	1-8
Publication status	Published - 2015
Event	22nd International Congress on Sound and Vibration (ICSV 22), July 12-16, 2015, Florence, Italy - Florence, Italy Duration: 12 Jul 2015 → 16 Jul 2015 http://iiav.org/icsv22/

Conference

Conference	22nd International Congress on Sound and Vibration (ICSV 22), July 12-16, 2015, Florence, Italy
Abbreviated title	ICSV 22
Country	Italy
City	Florence
Period	12/07/15 → 16/07/15
Internet address	http://iiav.org/icsv22/

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@inproceedings{742b74349ece4c6eb28f94e9170f7dee,

title = "Vortical perturbations in shear flow, scattered at a hard wall : pressure release wall transition",

abstract = "An analytically exact solution for the problem of low Mach number (i.e. incompressible) incident vorticity scattering at a hard - to - pressure release (Z = 0 ) wall transition is obtained using the Wiener-Hopf method. Harmonic vortical perturbations of inviscid linear shear flow are scattered at the wall transition, which results in a pressure-velocity field which is qualitatively different for low shear and high shear cases. The incompressible field produces an acoustic outer field, which can be determined for the low shear case, including a $U^4_0$ relation for the radiated power. The similar behaviour of this Z = 0 solution when compared with the asymptotic behaviour of the solution for finite impedance case confirms the validity of this last solution.",

author = "S.W. Rienstra and D.K. Singh",

year = "2015",

language = "English",

pages = "1--8",

booktitle = "22nd International Congress on Sound and Vibration (ICSV22, Florence, Italy, July 12-16, 2015)",

publisher = "International Institute of Acoustics and Vibration",

note = "22nd International Congress on Sound and Vibration (ICSV 22), July 12-16, 2015, Florence, Italy, ICSV 22 ; Conference date: 12-07-2015 Through 16-07-2015",

url = "http://iiav.org/icsv22/",

}

Rienstra, SW & Singh, DK 2015, Vortical perturbations in shear flow, scattered at a hard wall : pressure release wall transition. in 22nd International Congress on Sound and Vibration (ICSV22, Florence, Italy, July 12-16, 2015). International Institute of Acoustics and Vibration, s.l., pp. 1-8, 22nd International Congress on Sound and Vibration (ICSV 22), July 12-16, 2015, Florence, Italy, Florence, Italy, 12/07/15.

Vortical perturbations in shear flow, scattered at a hard wall : pressure release wall transition. / Rienstra, S.W.; Singh, D.K.

22nd International Congress on Sound and Vibration (ICSV22, Florence, Italy, July 12-16, 2015). s.l. : International Institute of Acoustics and Vibration, 2015. p. 1-8.

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

TY - GEN

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AU - Rienstra, S.W.

AU - Singh, D.K.

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N2 - An analytically exact solution for the problem of low Mach number (i.e. incompressible) incident vorticity scattering at a hard - to - pressure release (Z = 0 ) wall transition is obtained using the Wiener-Hopf method. Harmonic vortical perturbations of inviscid linear shear flow are scattered at the wall transition, which results in a pressure-velocity field which is qualitatively different for low shear and high shear cases. The incompressible field produces an acoustic outer field, which can be determined for the low shear case, including a $U^4_0$ relation for the radiated power. The similar behaviour of this Z = 0 solution when compared with the asymptotic behaviour of the solution for finite impedance case confirms the validity of this last solution.

AB - An analytically exact solution for the problem of low Mach number (i.e. incompressible) incident vorticity scattering at a hard - to - pressure release (Z = 0 ) wall transition is obtained using the Wiener-Hopf method. Harmonic vortical perturbations of inviscid linear shear flow are scattered at the wall transition, which results in a pressure-velocity field which is qualitatively different for low shear and high shear cases. The incompressible field produces an acoustic outer field, which can be determined for the low shear case, including a $U^4_0$ relation for the radiated power. The similar behaviour of this Z = 0 solution when compared with the asymptotic behaviour of the solution for finite impedance case confirms the validity of this last solution.

M3 - Conference contribution

SP - 1

EP - 8

BT - 22nd International Congress on Sound and Vibration (ICSV22, Florence, Italy, July 12-16, 2015)

PB - International Institute of Acoustics and Vibration

CY - s.l.

T2 - 22nd International Congress on Sound and Vibration (ICSV 22), July 12-16, 2015, Florence, Italy

Y2 - 12 July 2015 through 16 July 2015

ER -