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Mechanism of aeroacoustic sound generation and reduction in a flow past oscillating and fixed cylinders

Published online by Cambridge University Press:  26 October 2017

Yuji Hattori*
Affiliation:
Institute of Fluid Science, Tohoku University, Sendai 980-8577, Japan
Ryu Komatsu
Affiliation:
Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan
*
Email address for correspondence: hattori@fmail.ifs.tohoku.ac.jp

Abstract

The aeroacoustic sound generated in a flow past two cylinders, one of which is oscillating and the other is fixed, is studied by direct numerical simulation. This problem involves key ingredients of the aeroacoustic noise generated from wind turbines, helicopters, axial flow fans and other turbomachinery: flow, a moving body and a fixed body. The corrected volume penalization method is successfully applied to resolve the sound pressure of aeroacoustic waves as a solution of the compressible Navier–Stokes equations. The sound pressure was shown to be in good agreement with the prediction by the Ffowcs Williams–Hawkings aeroacoustic analogy, which takes account of the cylinder motion, confirming the accuracy of the corrected volume penalization method. Prior to the case of two cylinders, sound generation in flow past a single oscillating cylinder is considered. The fluid motion can be either periodic or non-periodic depending on the frequency and the amplitude of cylinder oscillation. The acoustic power is significantly reduced when the fluid motion locks in to a frequency lower than the natural frequency of vortex shedding from a fixed cylinder. When a fixed cylinder is added, the acoustic power depends strongly on the distance between the cylinders, since that determines whether synchronization occurs and the phase difference between the three forces: the lift forces exerted on the two cylinders and the inertial force due to volume displacement effect of the oscillating cylinder. In particular, significant sound reduction is observed when the fixed cylinder is placed upstream and the frequency of the cylinder oscillation is set to the frequency for which the acoustic power is minimized in the single-cylinder case.

Type
Papers
Copyright
© 2017 Cambridge University Press 

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References

Anagnostopoulos, P. 2000a Numerical study of the flow past a cylinder excited transversely to the incident stream. Part 1: lock-in zone, hydrodynamic forces and wake geometry. J. Fluids Struct. 14, 819851.CrossRefGoogle Scholar
Anagnostopoulos, P. 2000b Numerical study of the flow past a cylinder excited transversely to the incident stream. Part 2: timing of vortex shedding, aperiodic phenomena and wake parameters. J. Fluids Struct. 14, 853882.Google Scholar
Bae, Y. & Moon, Y. J. 2012 On the use of Brinkman penalization method for computation of acoustic scattering from complex boundaries. Comput. Fluids 55, 4856.Google Scholar
Bearman, P. W. 1984 Vortex shedding from oscillating bluff-bodies. Annu. Rev. Fluid Mech. 16, 195222.CrossRefGoogle Scholar
Bishop, R. E. D. & Hassan, A. Y. 1964 The lift and drag forces on a circular cylinder oscillating in a flowing fluid. Proc. R. Soc. Lond. A 277, 5175.Google Scholar
Colonius, T. & Lele, S. K. 2004 Computational aeroacoustics: progress on nonlinear problems of sound generation. Prog. Aerosp. Sci. 40, 345416.Google Scholar
Dahl, M. D.2004 Fourth computational aeroacoustics (CAA) workshop on benchmark problems. NASA Conference Publication 2004-212954.Google Scholar
Ffowcs Williams, J. E. & Hawkings, D. L. 1969 Sound generation by turbulence and surfaces in arbitrary motion. Phil. Trans. R. Soc. Lond. A 264, 321342.Google Scholar
Goldstein, M. E. 1976 Aeroacoustics. McGraw-Hill.Google Scholar
Griffin, O. M. 1971 Unsteady wake of an oscillating cylinder at low Reynolds number. Trans. ASME J. Appl. Mech. 38, 729738.CrossRefGoogle Scholar
Griffin, O. M. & Ramberg, S. E. 1974 Vortex-street wakes of vibrating cylinders. J. Fluid Mech. 66, 553576.Google Scholar
Guilmineau, E. & Queutey, P. 2002 A numerical simulation of vortex shedding from an oscillating circular cylinder. J. Fluids Struct. 16, 773794.Google Scholar
Honji, H. & Taneda, S. 1968 Vortex wakes of oscillating circular cylinders. Rep. Res. Inst. Appl. Mech. Kyushu 16, 211222.Google Scholar
Inoue, O. & Hatakeyama, N. 2002 Sound generation by a two-dimensional circular cylinder in a uniform flow. J. Fluid Mech. 471, 285314.Google Scholar
Karniadakis, G. E. M. & Triantafyllou, G. S. 1989 Frequency selection and asymptotic states in laminar wakes. J. Fluid Mech. 199, 441469.Google Scholar
Komatsu, R., Iwakami, W. & Hattori, Y. 2016 Direct numerical simulation of aeroacoustic sound by volume penalization method. Comput. Fluids 130, 2436.CrossRefGoogle Scholar
Koopmann, G. H. 1967 The vortex wakes of vibrating cylinders at low Reynolds numbers. J. Fluid Mech. 27, 501512.CrossRefGoogle Scholar
Lele, S. K. 1992 Compact finite-difference schemes with spectral-like resolution. J. Comput. Phys. 103, 1642.Google Scholar
Li, J., Sun, J. & Roux, B. 1992 Numerical study of an oscillating cylinder in uniform flow and in the wake of upstream cylinder. J. Fluid Mech. 237, 457478.CrossRefGoogle Scholar
Lighthill, M. J. 1952 On sound generated aerodynamically: I. General theory. Proc. R. Soc. Lond. A 221, 564587.Google Scholar
Liu, Q. & Vasilyev, O. V. 2007 A Brinkman penalization method for compressible flows in complex geometries. J. Comput. Phys. 227, 946966.CrossRefGoogle Scholar
Mahir, N. & Rockwell, D. 1996 Vortex formation from a forced system of two cylinders. Part I: tandem arrangement. J. Fluids Struct. 10, 473489.Google Scholar
McNerney, G. M., van Dam, C. P. & Yen-Nakafuji, D. T. 2003 Blade–wake interaction noise for turbines with downwind rotors. J. Sol. Energ. 125, 497505.CrossRefGoogle Scholar
Ongoren, A. & Rockwell, D. 1989 Flow structure from an oscillating cylinder. Part 1. Mechanisms of phase-shift and recovery in the near wake. J. Fluid Mech. 191, 197223.CrossRefGoogle Scholar
Papaioannou, G. V., Yue, D. K. P. & Triantafyllou, M. S. 2006 Evidence of holes in the Arnold tongues of flow past two oscillating cylinders. Phs. Rev. Lett. 96, 014501.Google Scholar
Sarpkaya, T. 1978 Vortex-induced oscillations. Trans. ASME J. Appl. Mech. 46, 241258.Google Scholar
Seo, J. H. & Mittal, R. 2011 A high-order immersed boundary method for acoustic wave scattering and low-Mach number flow-induced sound in complex geometries. J. Comput. Phys. 230, 10001019.CrossRefGoogle ScholarPubMed
Sherer, S. E. 2004 Scattering of sound from axisymmetric sources by multiple circular cylinders. J. Acoust. Soc. Am. 115, 488496.Google Scholar
Tanida, Y., Okajima, A. & Watanabe, Y. 1973 Stability of a circular-cylinder oscillating in uniform-flow or in a wake. J. Fluid Mech. 61, 769784.Google Scholar
Wang, M., Freund, J. B. & Lele, S. K. 2006 Computational prediction of flow-generated sound. Annu. Rev. Fluid Mech. 38, 483512.Google Scholar
Williamson, C. H. K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2, 355381.CrossRefGoogle Scholar
Yang, X. & Zheng, Z. C. 2010 Nonlinear spacing and frequency effects of an oscillating cylinder in the wake of a stationary cylinder. Phys. Fluids 22, 043601.Google Scholar
Zdravkovich, M. M. 1982 Modification of vortex shedding in the synchronization range. Trans. ASME J. Fluids Engng 104, 513517.Google Scholar
Zheng, Z. C. & Zhang, N. 2008 Frequency effects on lift and drag for flow past an oscillating cylinder. J. Fluids Struct. 24, 382399.Google Scholar