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


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: (M. Popescu), (S. T. Johansen), (W. Shyy)

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