Skip to main content
Top
Published in: Archive of Applied Mechanics 6/2021

11-04-2021 | Original

Time domain phenomenological formulation for the sound generation in corrugated pipes

Authors: Viktor Hruška, Michal Bednařík

Published in: Archive of Applied Mechanics | Issue 6/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The study deals with a possibility to formulate the complex fluid–structure interaction problem of noise generation due to the unsteady flow in corrugated pipes by phenomenological formulation. Although the details of fluid dynamics are not accessible this way, the computational framework is much less demanding and the key features are still present. The van der Pol-like equations serve as a model of self-sustained sources coupled to the acoustic resonances of the tube. The effects of the sound field convection are discussed. A closer case-study investigation using linear stability analysis and a semi-analytical solution is presented. Numerical analysis investigating the flow velocity sweeps and fitting the model to the experimental data follows. The proposed system exhibits the key features known from experiments such as mode-locking and hysteresis and is capable of capturing the experimental data correctly.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
1.
go back to reference Rajavel, B., Prasad, M.G.: Acoustics of corrugated pipes: a review. Appl. Mech. Rev. 65, 050801 (2013)CrossRef Rajavel, B., Prasad, M.G.: Acoustics of corrugated pipes: a review. Appl. Mech. Rev. 65, 050801 (2013)CrossRef
2.
go back to reference Petrie, A.M., Huntley, I.D.: The acoustic output produced by a steady airflow through a corrugated duct. J. Sound Vib. 70(1), 1–9 (1980)CrossRef Petrie, A.M., Huntley, I.D.: The acoustic output produced by a steady airflow through a corrugated duct. J. Sound Vib. 70(1), 1–9 (1980)CrossRef
3.
go back to reference Nakamura, Y., Fukamachi, N.: Sound generation in corrugated tubes. Fluid Dyn. Res. 7(5–6), 255–261 (1991)CrossRef Nakamura, Y., Fukamachi, N.: Sound generation in corrugated tubes. Fluid Dyn. Res. 7(5–6), 255–261 (1991)CrossRef
4.
go back to reference Kristiansen, Ulf R., Wiik, Geir A.: Experiments on sound generation in corrugated pipes with flow. J. Acoust. Soc. Am. 121(3), 1337–1344 (2007)CrossRef Kristiansen, Ulf R., Wiik, Geir A.: Experiments on sound generation in corrugated pipes with flow. J. Acoust. Soc. Am. 121(3), 1337–1344 (2007)CrossRef
5.
go back to reference Debut, V., Antunes, J., Moreira, M.: Experimental study of the flow-excited acoustical lock-in in a corrugated pipe. In: ICSV14, p. 9. Cairns (2007) Debut, V., Antunes, J., Moreira, M.: Experimental study of the flow-excited acoustical lock-in in a corrugated pipe. In: ICSV14, p. 9. Cairns (2007)
6.
go back to reference Nakiboglu, G., Belfroid, S.P.C., Golliard, J., Hirschberg, A.: On the whistling of corrugated pipes: effect of pipe length and flow profile. J. Fluid Mech. 672, 78–108 (2011)CrossRef Nakiboglu, G., Belfroid, S.P.C., Golliard, J., Hirschberg, A.: On the whistling of corrugated pipes: effect of pipe length and flow profile. J. Fluid Mech. 672, 78–108 (2011)CrossRef
7.
go back to reference Nakiboğlu, Güne.ş, Rudenko, Oleksii, Hirschberg, Avraham: Aeroacoustics of the swinging corrugated tube: voice of the dragon. J. Acoust. Soc. Am. 131(1), 749–765 (2012)CrossRef Nakiboğlu, Güne.ş, Rudenko, Oleksii, Hirschberg, Avraham: Aeroacoustics of the swinging corrugated tube: voice of the dragon. J. Acoust. Soc. Am. 131(1), 749–765 (2012)CrossRef
8.
go back to reference Amielh, M., Anselmet, F., Jiang, Y., Kristiansen, U., Mattei, P.-O., Mazzoni, D., Pinhède, C.: Aeroacoustic source analysis in a corrugated flow pipe using low-frequency mitigation. J. Turbul. 15(10), 650–676 (2014)CrossRef Amielh, M., Anselmet, F., Jiang, Y., Kristiansen, U., Mattei, P.-O., Mazzoni, D., Pinhède, C.: Aeroacoustic source analysis in a corrugated flow pipe using low-frequency mitigation. J. Turbul. 15(10), 650–676 (2014)CrossRef
9.
go back to reference Nakiboglu, G., Belfroid, S., Willems, J., Hirschberg, A.: Whistling behavior of periodic systems: corrugated pipes and multiple side branch system. Int. J. Mech. Sci. 52, 1458–1470 (2010)CrossRef Nakiboglu, G., Belfroid, S., Willems, J., Hirschberg, A.: Whistling behavior of periodic systems: corrugated pipes and multiple side branch system. Int. J. Mech. Sci. 52, 1458–1470 (2010)CrossRef
10.
go back to reference Rudenko, O., Nakiboglu, G., Holten, A., Hirschberg, A.: On whistling of pipes with a corrugated segment: experiment and theory. J. Sound Vib. 332, 7226–7242 (2013)CrossRef Rudenko, O., Nakiboglu, G., Holten, A., Hirschberg, A.: On whistling of pipes with a corrugated segment: experiment and theory. J. Sound Vib. 332, 7226–7242 (2013)CrossRef
11.
go back to reference Golliard, J., González-Díez, N., Belfroid, S., Nakiboglu, G., Hirschberg, A.: U-RANS model for the prediction of the acoustic sound power generated in a whistling corrugated pipe. In: Volume 4: Fluid-Structure Interaction Golliard, J., González-Díez, N., Belfroid, S., Nakiboglu, G., Hirschberg, A.: U-RANS model for the prediction of the acoustic sound power generated in a whistling corrugated pipe. In: Volume 4: Fluid-Structure Interaction
12.
go back to reference Facchinetti, M.L., de Langre, E., Biolley, F.: Vortex shedding modeling using diffusive van der pol oscillators. C. R. Mecanique 330, 451–456 (2002)CrossRef Facchinetti, M.L., de Langre, E., Biolley, F.: Vortex shedding modeling using diffusive van der pol oscillators. C. R. Mecanique 330, 451–456 (2002)CrossRef
13.
go back to reference Facchinetti, M.L., de Langre, E., Biolley, F.: Coupling of structure and wake oscillators in vortex-induced vibrations. J. Fluids Struct. 19(2), 123–140 (2004)CrossRef Facchinetti, M.L., de Langre, E., Biolley, F.: Coupling of structure and wake oscillators in vortex-induced vibrations. J. Fluids Struct. 19(2), 123–140 (2004)CrossRef
14.
go back to reference Facchinetti, M.L., de Langre, E., Biolley, F.: Vortex-induced travelling waves along a cable. Eur. J. Mech. B. Fluids 23(1), 199–208 (2004)CrossRef Facchinetti, M.L., de Langre, E., Biolley, F.: Vortex-induced travelling waves along a cable. Eur. J. Mech. B. Fluids 23(1), 199–208 (2004)CrossRef
15.
go back to reference Mathelin, L., de Langre, E.: Vortex-induced vibrations and waves under shear flow with a wake oscillator model. Eur. J. Mech. B. Fluids 24(4), 478–490 (2005)MathSciNetCrossRef Mathelin, L., de Langre, E.: Vortex-induced vibrations and waves under shear flow with a wake oscillator model. Eur. J. Mech. B. Fluids 24(4), 478–490 (2005)MathSciNetCrossRef
16.
go back to reference de Langre, E.: Frequency lock-in is caused by coupled-mode flutter. J. Fluids Struct. 22(6–7), 783–791 (2006)CrossRef de Langre, E.: Frequency lock-in is caused by coupled-mode flutter. J. Fluids Struct. 22(6–7), 783–791 (2006)CrossRef
17.
go back to reference Tondl, Aleš, Nabergoj, Radoslav: Non-periodic and chaotic vibrations in a flow induced system. Chaos Solitons Fractals 4(12), 2193–2202 (1994)CrossRef Tondl, Aleš, Nabergoj, Radoslav: Non-periodic and chaotic vibrations in a flow induced system. Chaos Solitons Fractals 4(12), 2193–2202 (1994)CrossRef
18.
go back to reference Storti, D.W., Rand, R.H.: Dynamics of two strongly coupled van der Pol oscillators. Int. J. Non-Linear Mech. 17(3), 143–152 (1982)MathSciNetCrossRef Storti, D.W., Rand, R.H.: Dynamics of two strongly coupled van der Pol oscillators. Int. J. Non-Linear Mech. 17(3), 143–152 (1982)MathSciNetCrossRef
19.
go back to reference Tondl, A.: Passive and active means for self-excited vibration suppressing: two-mass model. Eng. Mech. 15(2), 133–138 (2008) Tondl, A.: Passive and active means for self-excited vibration suppressing: two-mass model. Eng. Mech. 15(2), 133–138 (2008)
20.
go back to reference Bakri, T., Nabergoj, R., Tondl, A.: Multi-frequency oscillations in self-excited systems. Nonlinear Dyn. 48(1–2), 115–127 (2006)MathSciNetMATH Bakri, T., Nabergoj, R., Tondl, A.: Multi-frequency oscillations in self-excited systems. Nonlinear Dyn. 48(1–2), 115–127 (2006)MathSciNetMATH
23.
go back to reference Zhang, W., Hu, H.L., Qian, Y.H., Gao, F.B.: A refined asymptotic perturbation method for nonlinear dynamical systems. Arch. Appl. Mech. 84(4), 591–606 (2014)CrossRef Zhang, W., Hu, H.L., Qian, Y.H., Gao, F.B.: A refined asymptotic perturbation method for nonlinear dynamical systems. Arch. Appl. Mech. 84(4), 591–606 (2014)CrossRef
24.
go back to reference Debut, V., Antunes, J., Moreira, M.: A phenomenological model for sound generation in corrugated pipes. In: Proceedings of ISMA, p. 7 (2007) Debut, V., Antunes, J., Moreira, M.: A phenomenological model for sound generation in corrugated pipes. In: Proceedings of ISMA, p. 7 (2007)
25.
go back to reference Debut, V., Antunes, J., Moreira, M.: Flow-acoustic interaction in corrugated pipes: time-domain simulation of experimental phenomena. In: Flow Induced Vibration, p. 6. Prague (2008) Debut, V., Antunes, J., Moreira, M.: Flow-acoustic interaction in corrugated pipes: time-domain simulation of experimental phenomena. In: Flow Induced Vibration, p. 6. Prague (2008)
26.
go back to reference Bruggeman, J.C., Hirschberg, A., van Dongen, M.E.H., Wijnands, A.P.J., Gorter, J.: Self-sustained aero-acoustic pulsations in gas transport systems: experimental study of the influence of closed side branches. J. Sound Vib. 150(3), 371–393 (1991)CrossRef Bruggeman, J.C., Hirschberg, A., van Dongen, M.E.H., Wijnands, A.P.J., Gorter, J.: Self-sustained aero-acoustic pulsations in gas transport systems: experimental study of the influence of closed side branches. J. Sound Vib. 150(3), 371–393 (1991)CrossRef
27.
go back to reference Hee-Chang, L.I.M., Faran, R.A.Z.I.: Experimental study of flow-induced whistling in pipe systems including a corrugated section. Energies 11(8), 1954 (2018)CrossRef Hee-Chang, L.I.M., Faran, R.A.Z.I.: Experimental study of flow-induced whistling in pipe systems including a corrugated section. Energies 11(8), 1954 (2018)CrossRef
28.
go back to reference Lieuwen, T.C.: Unsteady Combustor Physics. Cambridge University Press, Cambridge (2012)CrossRef Lieuwen, T.C.: Unsteady Combustor Physics. Cambridge University Press, Cambridge (2012)CrossRef
29.
go back to reference Elliot, J.W.: Lecture Notes on the Mathematics of Acoustics, Chapter Corrugated Pipe Flow. Imperial College Press, London (2005) Elliot, J.W.: Lecture Notes on the Mathematics of Acoustics, Chapter Corrugated Pipe Flow. Imperial College Press, London (2005)
30.
go back to reference Peters, M.C.A.M., Hirschberg, A., Reijnen, A.J., Wijnands, A.P.J.: Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers. J. Fluid Mech. 256, 499–534 (1993)CrossRef Peters, M.C.A.M., Hirschberg, A., Reijnen, A.J., Wijnands, A.P.J.: Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers. J. Fluid Mech. 256, 499–534 (1993)CrossRef
31.
go back to reference Rienstra, S.W.: A small Strouhal number analysis for acoustic wave-jet flow-pipe interaction. J. Sound Vib. 86(4), 539–556 (1983)CrossRef Rienstra, S.W.: A small Strouhal number analysis for acoustic wave-jet flow-pipe interaction. J. Sound Vib. 86(4), 539–556 (1983)CrossRef
32.
go back to reference Ingard, Uno, Singhal, Vijay K.: Effect of flow on the acoustic resonances of an open-ended duct. J. Acoust. Soc. Am. 58(4), 788–793 (1975)CrossRef Ingard, Uno, Singhal, Vijay K.: Effect of flow on the acoustic resonances of an open-ended duct. J. Acoust. Soc. Am. 58(4), 788–793 (1975)CrossRef
33.
go back to reference Strogatz, S.H.: Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering Studies in Nonlinearity. CRC Press, Boca Raton (2000) Strogatz, S.H.: Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering Studies in Nonlinearity. CRC Press, Boca Raton (2000)
34.
go back to reference Manneville, P.: Instabilities. Imperial College Press, London, Chaos and Turbulence ICP Fluid Mechanics (2010)MATH Manneville, P.: Instabilities. Imperial College Press, London, Chaos and Turbulence ICP Fluid Mechanics (2010)MATH
35.
go back to reference Cunningham, W.J.: Introduction to Nonlinear Analysis. Mcgraw Hill, New York (1958)MATH Cunningham, W.J.: Introduction to Nonlinear Analysis. Mcgraw Hill, New York (1958)MATH
36.
go back to reference Abarbanel, H.D.I., Rabinovich, M.I., Sushchik, M.M.: Introduction to nonlinear dynamics for physicists. In: Chapter Scenarios of the Onset of Chaos. Chaos through Quasi-Periodicity, pp. 132–137. World Scientific Pub Co Inc (1993) Abarbanel, H.D.I., Rabinovich, M.I., Sushchik, M.M.: Introduction to nonlinear dynamics for physicists. In: Chapter Scenarios of the Onset of Chaos. Chaos through Quasi-Periodicity, pp. 132–137. World Scientific Pub Co Inc (1993)
37.
go back to reference Jones, E., Oliphant, T., Peterson, P. et al.: SciPy: Open source scientific tools for Python, (2001) Jones, E., Oliphant, T., Peterson, P. et al.: SciPy: Open source scientific tools for Python, (2001)
38.
go back to reference Rudenko, O., Nakiboglu, G., Hirschberg, A.: On whistling of pipes with a corrugated pipe segment. In: 10th International Conference on Flow-Induced Vibration and Flow-Induced Noise (FIV2012) (2012) Rudenko, O., Nakiboglu, G., Hirschberg, A.: On whistling of pipes with a corrugated pipe segment. In: 10th International Conference on Flow-Induced Vibration and Flow-Induced Noise (FIV2012) (2012)
39.
go back to reference Gen, M., Cheng, R.: Genetic Algorithms and Engineering Optimization. Wiley, Hoboken (1999)CrossRef Gen, M., Cheng, R.: Genetic Algorithms and Engineering Optimization. Wiley, Hoboken (1999)CrossRef
40.
go back to reference Talebitooti, R., Gohari, H.D., Zarastvand, M.R.: Multi objective optimization of sound transmission across laminated composite cylindrical shell lined with porous core investigating non-dominated sorting genetic algorithm. Aerosp. Sci. Technol. 69, 269–280 (2017)CrossRef Talebitooti, R., Gohari, H.D., Zarastvand, M.R.: Multi objective optimization of sound transmission across laminated composite cylindrical shell lined with porous core investigating non-dominated sorting genetic algorithm. Aerosp. Sci. Technol. 69, 269–280 (2017)CrossRef
41.
go back to reference Talebitooti, R., Zarastvand, M., Darvishgohari, H.: Multi-objective optimization approach on diffuse sound transmission through poroelastic composite sandwich structure. J. Sandw. Struct. Mater. 109963621985474 (2019) Talebitooti, R., Zarastvand, M., Darvishgohari, H.: Multi-objective optimization approach on diffuse sound transmission through poroelastic composite sandwich structure. J. Sandw. Struct. Mater. 109963621985474 (2019)
42.
go back to reference Baker, J.: Reducing bias and inefficiency in the selection algorithm. In: Proceedings of the Second International Conference on Genetic Algorithms on Genetic Algorithms and Their Application (1987) Baker, J.: Reducing bias and inefficiency in the selection algorithm. In: Proceedings of the Second International Conference on Genetic Algorithms on Genetic Algorithms and Their Application (1987)
43.
go back to reference Kristiansen, Ulf R., Mattei, Pierre-Olivier., Pinhede, Cedric, Amielh, Muriel: Experimental study of the influence of low frequency flow modulation on the whistling behavior of a corrugated pipe. J. Acoust. Soc. Am. 130(4), 1851–1855 (2011)CrossRef Kristiansen, Ulf R., Mattei, Pierre-Olivier., Pinhede, Cedric, Amielh, Muriel: Experimental study of the influence of low frequency flow modulation on the whistling behavior of a corrugated pipe. J. Acoust. Soc. Am. 130(4), 1851–1855 (2011)CrossRef
44.
go back to reference Howe, M.S.: Theory of Vortex Sound. Cambridge University Press, Cambridge (2002)CrossRef Howe, M.S.: Theory of Vortex Sound. Cambridge University Press, Cambridge (2002)CrossRef
45.
go back to reference Coltman, J.W.: Jet drive mechanisms in edge tones and organ pipes. J. Acoust. Soc. Am. 60(3), 725–733 (1976)CrossRef Coltman, J.W.: Jet drive mechanisms in edge tones and organ pipes. J. Acoust. Soc. Am. 60(3), 725–733 (1976)CrossRef
46.
go back to reference Auvray, Roman, Fabre, Benoît, Lagrée, Pierre-Yves.: Regime change and oscillation thresholds in recorder-like instruments. J. Acoust. Soc. Am. 131(2), 1574–1585 (2012)CrossRef Auvray, Roman, Fabre, Benoît, Lagrée, Pierre-Yves.: Regime change and oscillation thresholds in recorder-like instruments. J. Acoust. Soc. Am. 131(2), 1574–1585 (2012)CrossRef
47.
go back to reference Abel, M., Ahnert, K., Bergweiler, S.: Synchronization of sound sources. Phys. Rev. Lett. 103(11), 114301 (2009)CrossRef Abel, M., Ahnert, K., Bergweiler, S.: Synchronization of sound sources. Phys. Rev. Lett. 103(11), 114301 (2009)CrossRef
48.
go back to reference Pikovsky, A., Rosenblum, M., Kurths, J.: Synchronization: A Universal Concept in Nonlinear Sciences Cambridge Nonlinear Science Series. Cambridge University Press, Cambridge (2001)CrossRef Pikovsky, A., Rosenblum, M., Kurths, J.: Synchronization: A Universal Concept in Nonlinear Sciences Cambridge Nonlinear Science Series. Cambridge University Press, Cambridge (2001)CrossRef
49.
go back to reference Hamilton, M.F., Blackstock, D.T., et al.: Nonlinear Acoustics. Acoustical Society of America, Melville (2008) Hamilton, M.F., Blackstock, D.T., et al.: Nonlinear Acoustics. Acoustical Society of America, Melville (2008)
Metadata
Title
Time domain phenomenological formulation for the sound generation in corrugated pipes
Authors
Viktor Hruška
Michal Bednařík
Publication date
11-04-2021
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 6/2021
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-021-01942-0

Other articles of this Issue 6/2021

Archive of Applied Mechanics 6/2021 Go to the issue

Premium Partners