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

S.W. Rienstra, D.K. Singh

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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 languageEnglish
Title of host publication22nd International Congress on Sound and Vibration (ICSV22, Florence, Italy, July 12-16, 2015)
Place of Publications.l.
PublisherInternational Institute of Acoustics and Vibration
Pages1-8
Publication statusPublished - 2015
Event22nd International Congress on Sound and Vibration (ICSV 22), July 12-16, 2015, Florence, Italy - Florence, Italy
Duration: 12 Jul 201516 Jul 2015
http://iiav.org/icsv22/

Conference

Conference22nd International Congress on Sound and Vibration (ICSV 22), July 12-16, 2015, Florence, Italy
Abbreviated titleICSV 22
CountryItaly
CityFlorence
Period12/07/1516/07/15
Internet address

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wall pressure
shear flow
shear
perturbation
Mach number
vorticity
velocity distribution
impedance
harmonics
acoustics
scattering

Cite this

Rienstra, S. W., & Singh, D. K. (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) (pp. 1-8). s.l.: International Institute of Acoustics and Vibration.
Rienstra, S.W. ; Singh, D.K. / Vortical perturbations in shear flow, scattered at a hard wall : pressure release wall transition. 22nd International Congress on Sound and Vibration (ICSV22, Florence, Italy, July 12-16, 2015). s.l. : International Institute of Acoustics and Vibration, 2015. pp. 1-8
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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.",
author = "S.W. Rienstra and D.K. Singh",
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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 proceedingConference contributionAcademicpeer-review

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AU - Rienstra, S.W.

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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.

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

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Rienstra SW, Singh DK. 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). s.l.: International Institute of Acoustics and Vibration. 2015. p. 1-8