Commun. Comput. Phys., 10 (2011), pp. 120-139.


Flow-Induced Acoustics in Corrugated Pipes

Mihaela Popescu 1, Stein Tore Johansen 1, Wei Shyy 2*

1 Department of Process Technology, Flow Technology, SINTEF Materials and Chemistry, 7046 Trondheim, Norway.
2 Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109, USA.

Received 30 December 2009; Accepted (in revised version) 23 July 2010
Available online 24 March 2011
doi:10.4208/cicp.301209.230710a

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.

AMS subject classifications: 76Q05

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Key words: Computational fluid dynamics, aeroacoustics, sound generation, riser, corrugated pipes, wave propagation, low Mach number, gas flow, flow-induced vibrations.

*Corresponding author.
Email: mihaela.popescu@sintef.no (M. Popescu), stein.t.johansen@sintef.no (S. T. Johansen), weishyy@umich.edu (W. Shyy)
 

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