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Flow-Induced Acoustics in Corrugated Pipes

Published online by Cambridge University Press:  20 August 2015

Mihaela Popescu ,
Stein Tore Johansen  and
Wei Shyy
Mihaela Popescu*
Affiliation:
Department of Process Technology, Flow Technology, SINTEF Materials and Chemistry, 7046 Trondheim, Norway
Stein Tore Johansen*
Affiliation:
Department of Process Technology, Flow Technology, SINTEF Materials and Chemistry, 7046 Trondheim, Norway
Wei Shyy*
Affiliation:
Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, USA
*
Email:[email protected]
Email:[email protected]
Corresponding author.Email:[email protected]
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Abstract

When gas flows through corrugated pipes, pressure waves interacting with vortex shedding can produce distinct tonal noise and structural vibration. Based on established observations, a model is proposed which couples an acoustic pipe and self-excited oscillations with vortex shedding over the corrugation cavities. In the model, the acoustic response of the corrugated pipe is simulated by connecting the lossless medium moving with a constant velocity with a source based on a discrete distribution of van der Pol oscillators arranged along the pipe. Our time accurate solutions exhibit dynamic behavior consistent with that experimentally observed, including the lock-in frequency of vortex shedding, standing waves and the onset fluid velocity capable of generating the lock-in.

Keywords

76Q05Computational fluid dynamicsaeroacousticssound generationrisercorrugated pipeswave propagationlow Mach numbergas flowflow-induced vibrations
Type
Research Article
Information
Communications in Computational Physics , Volume 10 , Issue 1 , July 2011 , pp. 120 - 139
Copyright
Copyright © Global Science Press Limited 2011

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References

[1]Ashcroft, G. and Zhang, X., Optimized prefactored compact scheme, J. Comput. Phys., 190 (2003), 459–477.Google Scholar
[2]Bass, R. L. and Holster, J. L., Bellows vibration with internal cryogenic flows, ASME J. Eng. Ind., 91(1) (1972), 70–75.Google Scholar
[3]Cadwell, L. H., Singing corrugated pipes, Am. J.hys., 62(3) (1994), 224–227.Google Scholar
[4]Colonius, T., Basu, A. J. and Rowley, C. W., Numerical investigation of the flow past a cavity, AIAA Paper No. 99-1912, 5th Aiaa/CEAS Aeronautics Conference, May 1999.Google Scholar
[5]Crawford, F. S., Singing corrugated pipes, Am. J.hys., 42 (1974), 278–288.Google Scholar
[6]Debut, V., Antunes, J. and Moreira, M., A phenomenological model for sound generation in corrugated pipes, ISMA, 2007.Google Scholar
[7]Debut, V., Antunes, J. and Moreira, M., Experimental Study of the Flow-Excited Acoustical Lock-In in a Corrugated Pipe, ICSV14, Cairns, Australia, 2007b.Google Scholar
[8]Dhainaut, M., CFD Modelling Activity for the Singing Riser Project-part II: Real Case Simulation SINTEF, Singing riser 805016, Trondheim, 2005.Google Scholar
[9]Facchinetti, M. I., Langre, de E. and Biolley, Vortex shedding modeling using diffusive van der Pol oscillators, Mécanique des Fluides, Série IIb, (2002), 1–6.Google Scholar
[10]Gerlach, C. R., Vortex excitation of metal bellows, J. ng. Indust., 94(1) (1972), 87–94.Google Scholar
[11]Heller, H. H. and Bliss, D. B., The physical mechanism of flow induced pressure fluctuations in cavities and concepts for their suppression, AIAA Paper No. 75–491, 1975.Google Scholar
[12]Hémon, P., Santi, F. and Amandolèse, X., On the pressure oscillation inside a deep cavity excited by a grazing airflow, Euro. J. Mech. B. Fluids., 23 (2004), 617–632.CrossRefGoogle Scholar
[13]Hirschberg, A., Aeroacoustics of wind instruments, in Mechanics of Musical Instruments CISM Courses and Lectures, Springer-Verlag, 1995.Google Scholar
[14]Howe, M. S., Mechanism of sound generation by low Mach number flow over a wall cavity, J. Sound. Vibrat., 73 (2004), 103–123.Google Scholar
[15]Hu, F. Q., Hussaini, M. Y. and Manthey, J., Low dissipation and dispersion Runge-Kutta for computational acoustics, J. Comput. Phys., 124 (1996), 177–191.CrossRefGoogle Scholar
[16]Huerre, P. and Monkewitz, P. A., Absolute and convective instability of the hyperbolic-tangent velocity profile, J. Fluid. Mech., 159 (1985), 151–168.Google Scholar
[17]Klaeui, E., Jet: vibration tests on calorimeter bellows, Report No. 3554/1512, Sulzer Bros. Ltd., Winterthur, Switzerland, 1987.Google Scholar
[18]Krishnamurty, K., Acoustic radiation from two-dimensional rectangular cutouts in aerodynamic surface, N.A.C.A. Tech. Note., No. 3487, 1955.Google Scholar
[19]Kristiansen, U. R. and Wiik, G. A., Experiments on sound generation in corrugated pipe with flow, J. Acoust. Soc. Am., 121(3) (2007), 1337–1344.CrossRefGoogle ScholarPubMed
[20]Nakamura, Y. and Fukamachi, N., Sound generation in corrugated tubes, Fluid. Dyn. Res., North Holland, 7 (1991), 255–261.Google Scholar
[21]Popescu, M. and Johansen, S. T., Acoustic wave propagation in low Mach flow pipe, AIAA Paper No. 08-95691, 46th AIAA Aerospace Sciences Meeting and Exhibit, 2008.Google Scholar
[22]Popescu, M., Shyy, W. and Garbey, M., A study of dispersion-relation-preserving and optimized prefactored compact schemes for wave equation, J. Comput. Phys., 210(5) (2005), 705–729.CrossRefGoogle Scholar
[23]Popescu, M., Vedder, R. and Shyy, W., A finite volume-based high order, Cartesian cut-cell method for wave propagation, Int. J. Numer. Methods. Fluids., 56 (2008), 1787–1818.CrossRefGoogle Scholar
[24]Reinen, T. A., Singing riser: overwie, SINTEF, Singing riser 805016, Trondheim, 2007.Google Scholar
[25]Rockwell, D. and Schachenmann, A., The organied shear layer due to oscillations of a turbulent jet through an axisymmetric cavity, J. Sound. Vibrat., 87 (1983), 371–382.Google Scholar
[26]Roger, M. and Charbonnier, J. M., Applied aero-acoustics: prediction methods von Karman institute for fluid dynamics, Lecture Series, 1996-04, 1996.Google Scholar
[27]Rossiter, J. E., Wind-tunnel experiments on the flow over rectangular cavities at subsonic and transonic speed, Technical Report 3438, Aeronautical Research Council Reports and Memoranda, 1964.Google Scholar
[28]Rowley, C. W. and Williams, D. R., Dynamic and control of high Reynolds number flow over open cavities, Annu. Rev. Fluid. Mech., 38 (2006), 251–276.Google Scholar
[29]Tam, C. K. W. and Block, P. J. W., On the tones and pressure oscillations induced by the flow over rectangular cavities, J. Fluid. Mech., 89 (1978), 373–399.Google Scholar
[30]Tietjens, O., Strömungslehre, 1st Ed., Springer-Verlag, Berlin, (1970), 105–109.Google Scholar
[31]van Dommelen, L. L., Unsteady Boundary Layer Separation, Ph.D. thesis, Cornell University, 1981 (unpublished).Google Scholar
[32]Weave, D. S. and Ainsworth, P., Flow induced vibration in bellows, International Symposium on Flow-Induced Vibration and Noise, Chicago, (1998), 205–214.Google Scholar
[33]Ziada, S., Eng, M., Asme, M. and Buhlmann, E. T., Flow induced vibration in long corrugated pipes, C416/010@IMechE, (1991), 417–426.Google Scholar