Skip to main content
Erschienen in: Meccanica 2/2013

01.03.2013

Reflection coefficient of a dominant mode in a trifurcated duct of soft walls in the presence of mean flow

Erschienen in: Meccanica | Ausgabe 2/2013

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The problem of sound radiation from a soft semi-infinite duct is analyzed. This duct is symmetrically placed inside another soft but infinite duct. The problem is solved when the whole fluid region inside these ducts is in motion with a constant fluid velocity. Mathematical formulation is made. The resulting problem is solved by employing integral transform and the Jones’ method based on the Wiener-Hopf technique. The kernel functions for the problem have been factorized. Graphs are sketched and analyzed. It is noticed that through specific values of the involved parameters in the solution, the unwanted noise can be abated.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Weinstein LA (1969) The theory of diffraction and the factorization method. Golem Press, Boulder Weinstein LA (1969) The theory of diffraction and the factorization method. Golem Press, Boulder
2.
Zurück zum Zitat Lawrie JB, Abrahams ID, Linton CM (1993) Acoustic radiation from two opposed, semi-infinite, coaxial cylindrical waveguides. I: Overlapping edges. Wave Motion 18:121–142 MathSciNetMATHCrossRef Lawrie JB, Abrahams ID, Linton CM (1993) Acoustic radiation from two opposed, semi-infinite, coaxial cylindrical waveguides. I: Overlapping edges. Wave Motion 18:121–142 MathSciNetMATHCrossRef
3.
Zurück zum Zitat Warren DP, Lawrie JB, Mohamed IM (2002) Acoustic scattering in wave-guides with discontinuities in height and material property. Wave Motion 36:119–142 MathSciNetMATHCrossRef Warren DP, Lawrie JB, Mohamed IM (2002) Acoustic scattering in wave-guides with discontinuities in height and material property. Wave Motion 36:119–142 MathSciNetMATHCrossRef
4.
Zurück zum Zitat Ayub M, Tiwana MH, Mann AB (2010) Analysis of diffraction characteristics in an impedance loaded trifurcated duct. Z Naturforschung A 65a:995–1008 Ayub M, Tiwana MH, Mann AB (2010) Analysis of diffraction characteristics in an impedance loaded trifurcated duct. Z Naturforschung A 65a:995–1008
5.
Zurück zum Zitat Hurd RA, Lüneburg E (1981) Scattering by hard and soft parallel half-planes. Can J Phys 59:1879–1885 MATHCrossRefADS Hurd RA, Lüneburg E (1981) Scattering by hard and soft parallel half-planes. Can J Phys 59:1879–1885 MATHCrossRefADS
6.
Zurück zum Zitat Ul-Hassan M, Rawlins AD (1997) Radiation from a two dimensional duct. Can J Phys 1:375–384 CrossRefADS Ul-Hassan M, Rawlins AD (1997) Radiation from a two dimensional duct. Can J Phys 1:375–384 CrossRefADS
8.
Zurück zum Zitat Lawrie JB (2012) Comments on a class of orthogonality relations relevant to fluid-structure interaction. Meccanica 47:783–788 MathSciNetCrossRef Lawrie JB (2012) Comments on a class of orthogonality relations relevant to fluid-structure interaction. Meccanica 47:783–788 MathSciNetCrossRef
9.
10.
11.
Zurück zum Zitat Howe MS (1986) Attenuation of sound due to vertex shedding from a splitter plate in a mean flow duct. J Sound Vib 105(3):385–396 CrossRefADS Howe MS (1986) Attenuation of sound due to vertex shedding from a splitter plate in a mean flow duct. J Sound Vib 105(3):385–396 CrossRefADS
12.
Zurück zum Zitat Quinn MC, Howe MS (1986) Absorption of sound at a slot in a splitter plate in a mean-flow duct. J Fluid Mech 168:1–30 MATHCrossRefADS Quinn MC, Howe MS (1986) Absorption of sound at a slot in a splitter plate in a mean-flow duct. J Fluid Mech 168:1–30 MATHCrossRefADS
13.
Zurück zum Zitat Pace JR, Mittra R (1965) The trifurcated waveguide. Radio Sci 1:117–122 Pace JR, Mittra R (1965) The trifurcated waveguide. Radio Sci 1:117–122
14.
15.
17.
Zurück zum Zitat Ul-Hassan M, Rawlins AD (1998) Two problems of waveguides carrying mean fluid flow. J Sound Vib 216(4):713–738 CrossRefADS Ul-Hassan M, Rawlins AD (1998) Two problems of waveguides carrying mean fluid flow. J Sound Vib 216(4):713–738 CrossRefADS
18.
Zurück zum Zitat Asghar S, Hayat T (1997) Scattering in an absorbing parallel plate system. Acoust Lett 20(9):185–190 ADS Asghar S, Hayat T (1997) Scattering in an absorbing parallel plate system. Acoust Lett 20(9):185–190 ADS
19.
Zurück zum Zitat Polat B (1998) Plane wave diffraction by a semi-infinite soft/hard parallel-plate waveguide. Can J Phys 76:771–784 ADS Polat B (1998) Plane wave diffraction by a semi-infinite soft/hard parallel-plate waveguide. Can J Phys 76:771–784 ADS
20.
Zurück zum Zitat Büyükaksoy A, Polat B (1999) A bifurcated waveguide problem. Ari 51:196–202 CrossRef Büyükaksoy A, Polat B (1999) A bifurcated waveguide problem. Ari 51:196–202 CrossRef
21.
Zurück zum Zitat Ayub M, Tiwana MH, Mann AB (2010) Acoustic diffraction in a trifurcated waveguide with mean flow. Commun Nonlinear Sci Numer Simul 15:3939–3949 MathSciNetMATHCrossRefADS Ayub M, Tiwana MH, Mann AB (2010) Acoustic diffraction in a trifurcated waveguide with mean flow. Commun Nonlinear Sci Numer Simul 15:3939–3949 MathSciNetMATHCrossRefADS
22.
Zurück zum Zitat Snakowska A (2009) Acousto-electromagnetic analogies in diffraction phenomena occurring in the semi-infinite cylindrical waveguide. Acta Phys Pol A 116(3):410–413 ADS Snakowska A (2009) Acousto-electromagnetic analogies in diffraction phenomena occurring in the semi-infinite cylindrical waveguide. Acta Phys Pol A 116(3):410–413 ADS
23.
Zurück zum Zitat Ayub M, Tiwana MH, Mann AB (2010) Influence of acoustic dominant mode propagation in a trifurcated lined duct with different impedances. Phys Scr 81:035402 CrossRefADS Ayub M, Tiwana MH, Mann AB (2010) Influence of acoustic dominant mode propagation in a trifurcated lined duct with different impedances. Phys Scr 81:035402 CrossRefADS
24.
Zurück zum Zitat Jones DS (1952) A simplifying technique in the solution of a class of diffraction problems. Q J Math 3(1):189–196 MATHCrossRef Jones DS (1952) A simplifying technique in the solution of a class of diffraction problems. Q J Math 3(1):189–196 MATHCrossRef
25.
Zurück zum Zitat Noble B (1988) Methods based on the Wiener-Hopf technique, 2nd edn. Chelsea, New York MATH Noble B (1988) Methods based on the Wiener-Hopf technique, 2nd edn. Chelsea, New York MATH
26.
27.
Zurück zum Zitat Rawlins AD (1976) The solution of a mixed boundary value problem in the theory of diffraction by a semi-infinite plane. Proc R Soc Lond Ser A 346:469–484 MathSciNetADS Rawlins AD (1976) The solution of a mixed boundary value problem in the theory of diffraction by a semi-infinite plane. Proc R Soc Lond Ser A 346:469–484 MathSciNetADS
28.
Zurück zum Zitat Landau LD, Lifshitz EM (1959) Fluid mechanics. Pergamon, London Landau LD, Lifshitz EM (1959) Fluid mechanics. Pergamon, London
29.
Zurück zum Zitat Brown JW, Churchill RV (1996) Complex variables and applications. McGraw-Hill, New York Brown JW, Churchill RV (1996) Complex variables and applications. McGraw-Hill, New York
30.
Zurück zum Zitat Amiet R, Sears WR (1970) The aerodynamic noise of small-perturbation subsonic flows. J Fluid Mech 44:227–235 MATHCrossRefADS Amiet R, Sears WR (1970) The aerodynamic noise of small-perturbation subsonic flows. J Fluid Mech 44:227–235 MATHCrossRefADS
31.
Zurück zum Zitat Demir A, Büyükaksoy A (2005) Wiener-Hopf approach for predicting the transmission loss of a circular silencer with a locally reacting lining. Int J Eng Sci 43:398–416 MATHCrossRef Demir A, Büyükaksoy A (2005) Wiener-Hopf approach for predicting the transmission loss of a circular silencer with a locally reacting lining. Int J Eng Sci 43:398–416 MATHCrossRef
32.
Zurück zum Zitat Jones DS (1964) The theory of electromagnetism. Pergamon, London MATH Jones DS (1964) The theory of electromagnetism. Pergamon, London MATH
33.
Zurück zum Zitat Titchmarsh EC (1939) Theory of functions, 2nd edn. Oxford University Press, London MATH Titchmarsh EC (1939) Theory of functions, 2nd edn. Oxford University Press, London MATH
Metadaten
Titel
Reflection coefficient of a dominant mode in a trifurcated duct of soft walls in the presence of mean flow
Publikationsdatum
01.03.2013
Erschienen in
Meccanica / Ausgabe 2/2013
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-012-9605-7

Weitere Artikel der Ausgabe 2/2013

Meccanica 2/2013 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.