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Fluid–structure–sound interaction in noise reduction of a circular cylinder with flexible splitter plate

Published online by Cambridge University Press:  04 June 2021

Fan Duan Open the ORCID record for Fan Duan [Opens in a new window]  and
Jinjun Wang Open the ORCID record for Jinjun Wang [Opens in a new window]
Fan Duan
Affiliation:
Key Laboratory of Fluid Mechanics, Ministry of Education, Beijing100191, PR China Institue of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing100191, PR China
Jinjun Wang*
Affiliation:
Key Laboratory of Fluid Mechanics, Ministry of Education, Beijing100191, PR China Institue of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing100191, PR China
*
†Email address for correspondence: jjwang@buaa.edu.cn
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Abstract

The fluid–structure--sound interaction in reducing the flow-induced noise of a circular cylinder with a back flexible splitter plate is investigated experimentally. The rigid splitter plate (RSP) and the flexible splitter plate (FSP) are individually attached to the rear of the cylinder with a diameter D = 30 mm. Three parameters are considered: the flexibility of the plates, the length of the plates (L = 0.5 D ~ 6.0 D) and the Reynolds numbers (Re = 3.83×104 ~ 9.57 × 104). Both RSP and FSP achieve the optimal reduction in the Aeolian tone at L/D = 1.0 regardless of Re, where the RSP results in a reduction of 14 dB on average and the FSP a superior reduction of 18 dB. Subsequently, the velocity fields are measured with two-dimensional particle image velocimetry for L/D = 1.0. The dynamic deformation of the FSP is captured with a single-camera three-dimensional digital image correlation system. The results show that the splitter plate elongates the recirculation region length (Lr) significantly, and it is preferable to normalize the streamwise coordinate x with Lr instead of D in this investigation. It is determined that the Aeolian tone is mainly induced by the fluctuations in the near wake region of 1 < x/Lr < 3. The splitter plates effectively suppress the overall fluctuations originating from vortex shedding in the wake, thereby reducing the Aeolian tone successfully. The movement of the FSP, which is dominated by low-frequency vibrations with broadband and a relatively energetic periodic vibration, has important effects on the secondary and high-frequency noise.

JFM classification

Acoustics: Noise control Aerodynamics: Flow-structure interactions Vortex Flows: Vortex shedding

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JFM Papers
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Journal of Fluid Mechanics , Volume 920 , 10 August 2021 , A6
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© The Author(s), 2021. Published by Cambridge University Press

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References

Abdi, R., Rezazadeh, N. & Abdi, M. 2019 Investigation of passive oscillations of flexible splitter plates attached to a circular cylinder. J. Fluids Struct. 84, 302–317.CrossRefGoogle Scholar
Akilli, H., Karakus, C., Akar, A., Sahin, B. & Tumen, N.F. 2008 Control of vortex shedding of circular cylinder in shallow water flow using an attached splitter plate. J. Fluids Engng 130 (4), 041401.CrossRefGoogle Scholar
Ali, S.A.S., Azarpeyvand, M. & da Silva, C.R.I. 2018 Trailing-edge flow and noise control using porous treatments. J. Fluid Mech. 850, 83–119.Google Scholar
Ali, M.S.M., Doolan, C.J. & Wheatley, V. 2011 The sound generated by a square cylinder with a splitter plate at low Reynolds number. J. Sound Vib. 330 (15), 3620–3635.Google Scholar
Ali, M.S.M., Doolan, C.J. & Wheatley, V. 2013 Aeolian tones generated by a square cylinder with a detached flat plate. AIAA J. 51 (2), 291–301.Google Scholar
Allen, J. & Smits, A. 2001 Energy harvesting eel. J. Fluids Struct. 15 (3), 629–640.CrossRefGoogle Scholar
Anderson, E. & Szewczyk, A. 1997 Effects of a splitter plate on the near wake of a circular cylinder in 2 and 3-dimensional flow configurations. Exp. Fluids 23 (2), 161–174.CrossRefGoogle Scholar
Apelt, C. & West, G. 1975 The effects of wake splitter plates on bluff-body flow in the range 10 4<R < 5 × 104. Part 2. J. Fluid Mech. 71 (1), 145–160.CrossRefGoogle Scholar
Apelt, C., West, G. & Szewczyk, A.A. 1973 The effects of wake splitter plates on the flow past a circular cylinder in the range 104 < R < 5 × 104. J. Fluid Mech. 61 (1), 187–198.CrossRefGoogle Scholar
Avallone, F., Van der Velden, W., Ragni, D. & Casalino, D. 2018 Noise reduction mechanisms of sawtooth and combed-sawtooth trailing-edge serrations. J. Fluid Mech. 848, 560–591.CrossRefGoogle Scholar
Bearman, P. 1965 Investigation of the flow behind a two-dimensional model with a blunt trailing edge and fitted with splitter plates. J. Fluid Mech. 21 (2), 241–255.CrossRefGoogle Scholar
Champagnat, F., Plyer, A., Le Besnerais, G., Leclaire, B., Davoust, S. & Le Sant, Y. 2011 Fast and accurate PIV computation using highly parallel iterative correlation maximization. Exp. Fluids 50 (4), 1169–1182.CrossRefGoogle Scholar
Chauhan, M.K., Dutta, S., More, B.S. & Gandhi, B.K. 2018 Experimental investigation of flow over a square cylinder with an attached splitter plate at intermediate Reynolds number. J. Fluids Struct. 76, 319–335.CrossRefGoogle Scholar
Cheng, L., Zhou, Y. & Zhang, M. 2003 Perturbed interaction between vortex shedding and induced vibration. J. Fluids Struct. 17 (7), 887–901.CrossRefGoogle Scholar
Choi, H., Jeon, W.-P. & Kim, J. 2008 Control of flow over a bluff body. Annu. Rev. Fluid Mech. 40, 113–139.CrossRefGoogle Scholar
Connell, B.S. & Yue, D.K. 2007 Flapping dynamics of a flag in a uniform stream. J. Fluid Mech. 581, 33–67.CrossRefGoogle Scholar
Curle, N. 1955 The influence of solid boundaries upon aerodynamic sound. Proc. R. Soc. Lond. A 231 (1187), 505–514.Google Scholar
Danesh-Yazdi, A., Goushcha, O., Elvin, N. & Andreopoulos, Y. 2015 Fluidic energy harvesting beams in grid turbulence. Exp. Fluids 56 (8), 161.CrossRefGoogle Scholar
Dettmer, W. & Perić, D. 2006 A computational framework for fluid–structure interaction: finite element formulation and applications. Comput. Meth. Appl. Mech. Engng 195 (41–43), 5754–5779.CrossRefGoogle Scholar
Favier, J., Dauptain, A., Basso, D. & Bottaro, A. 2009 Passive separation control using a self-adaptive hairy coating. J. Fluid Mech. 627, 451–483.CrossRefGoogle Scholar
Feng, L.H. & Wang, J.J. 2010 Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point. J. Fluid Mech. 662, 232–259.CrossRefGoogle Scholar
Fox, T. 1992 End plate interference effects on the aerodynamics of a circular cylinder in uniform flow. Aeronaut. J. 96 (951), 10–14.Google Scholar
Fox, T.A. & West, G. 1990 On the use of end plates with circular cylinders. Exp. Fluids 9 (4), 237–239.CrossRefGoogle Scholar
Fujita, H., Suzuki, H., Sagawa, A. & Takaishi, T. 1999 The aeolian tone characteristics of a circular cylinder in high Reynolds number flow. In 5th AIAA/CEAS Aeroacoustics Conference and Exhibit.CrossRefGoogle Scholar
Furquan, M. & Mittal, S. 2015 Flow past two square cylinders with flexible splitter plates. Comput. Mech. 55 (6), 1155–1166.CrossRefGoogle Scholar
Gao, Y., Cheng, T., Su, Y., Xu, X., Zhang, Y. & Zhang, Q. 2015 High-efficiency and high-accuracy digital image correlation for three-dimensional measurement. Opt. Lasers Engng 65, 73–80.CrossRefGoogle Scholar
Genovese, K., Casaletto, L., Rayas, J., Flores, V. & Martinez, A. 2013 Stereo-digital image correlation (DIC) measurements with a single camera using a biprism. Opt. Lasers Engng 51 (3), 278–285.CrossRefGoogle Scholar
Gerrard, J. 1966 The mechanics of the formation region of vortices behind bluff bodies. J. Fluid Mech. 25 (2), 401–413.CrossRefGoogle Scholar
Geyer, T.F. & Sarradj, E. 2016 Circular cylinders with soft porous cover for flow noise reduction. Exp. Fluids 57 (3), 30.CrossRefGoogle Scholar
Gomes, J.P., Yigit, S., Lienhart, H. & Schäfer, M. 2011 Experimental and numerical study on a laminar fluid–structure interaction reference test case. J. Fluids Struct. 27 (1), 43–61.CrossRefGoogle Scholar
He, G.S., Li, N. & Wang, J.J. 2014 Drag reduction of square cylinders with cut-corners at the front edges. Exp. Fluids 55 (6), 1745.CrossRefGoogle Scholar
He, G.-S., Wang, J.-J., Pan, C., Feng, L.-H., Gao, Q. & Rinoshika, A. 2017 Vortex dynamics for flow over a circular cylinder in proximity to a wall. J. Fluid Mech. 812, 698–720.CrossRefGoogle Scholar
Howe, M. 1989 On unsteady surface forces, and sound produced by the normal chopping of a rectilinear vortex. J. Fluid Mech. 206, 131–153.CrossRefGoogle Scholar
Howe, M. 1991 On the estimation of sound produced by complex fluid–structure interactions, with application to a vortex interacting with a shrouded rotor. Proc. R. Soc. Lond. A 433 (1889), 573–598.Google Scholar
Howe, M. 1995 On the force and moment on a body in an incompressible fluid, with application to rigid bodies and bubbles at high and low Reynolds numbers. Q. J. Mech. Appl. Maths 48 (3), 401–426.CrossRefGoogle Scholar
Howe, M.S. 1998 Acoustics of Fluid-Structure Interactions. Cambridge University Press.CrossRefGoogle Scholar
Howe, M.S. 2003 Theory of Vortex Sound. Cambridge University Press.Google Scholar
Hu, Y., Pan, C. & Wang, J. 2014 Vortex structure for flow over a heaving cylinder with a flexible tail. Exp. Fluids 55 (2), 1682.CrossRefGoogle Scholar
Hu, J., Zhou, Y. & Dalton, C. 2006 Effects of the corner radius on the near wake of a square prism. Exp. Fluids 40 (1), 106.CrossRefGoogle Scholar
Hutcheson, F.V. & Brooks, T.F. 2012 Noise radiation from single and multiple rod configurations. Intl J. Aeroacoust. 11 (3–4), 291–333.CrossRefGoogle Scholar
Hwang, J.-Y., Yang, K.-S. & Sun, S.-H. 2003 Reduction of flow-induced forces on a circular cylinder using a detached splitter plate. Phys. Fluids 15 (8), 2433–2436.CrossRefGoogle Scholar
Iglesias, E.L., Thompson, D. & Smith, M. 2016 Experimental study of the aerodynamic noise radiated by cylinders with different cross-sections and yaw angles. J. Sound Vib. 361, 108–129.CrossRefGoogle Scholar
Jia, L. 2014 The Interaction between Flexible Plates and Fluid in Two-Dimensional Flow. Springer.CrossRefGoogle Scholar
Kalmbach, A. & Breuer, M. 2013 Experimental PIV/V3 V measurements of vortex-induced fluid–structure interaction in turbulent flow—A new benchmark FSI-PfS-2a. J. Fluids Struct. 42, 369–387.CrossRefGoogle Scholar
Kamps, L., Geyer, T.F., Sarradj, E. & Brücker, C. 2017 Vortex shedding noise of a cylinder with hairy flaps. J. Sound Vib. 388, 69–84.CrossRefGoogle Scholar
Kang, C.-K., Aono, H., Cesnik, C.E. & Shyy, W. 2011 Effects of flexibility on the aerodynamic performance of flapping wings. J. Fluid Mech. 689, 32–74.CrossRefGoogle Scholar
Kim, D., Cossé, J., Cerdeira, C.H. & Gharib, M. 2013 Flapping dynamics of an inverted flag. J. Fluid Mech. 736, R1.CrossRefGoogle Scholar
Krogstad, P-Å & Davidson, P. 2011 Freely decaying, homogeneous turbulence generated by multi-scale grids. J. Fluid Mech. 680, 417–434.CrossRefGoogle Scholar
Kundu, A., Soti, A.K., Bhardwaj, R. & Thompson, M.C. 2017 The response of an elastic splitter plate attached to a cylinder to laminar pulsatile flow. J. Fluids Struct. 68, 423–443.CrossRefGoogle Scholar
Kunze, S. & Brücker, C. 2012 Control of vortex shedding on a circular cylinder using self-adaptive hairy-flaps. C. R. Mec. 340 (1), 41–56.CrossRefGoogle Scholar
Kwon, K. & Choi, H. 1996 Control of laminar vortex shedding behind a circular cylinder using splitter plates. Phys. Fluids 8 (2), 479–486.CrossRefGoogle Scholar
Lee, J. & You, D. 2013 Study of vortex-shedding-induced vibration of a flexible splitter plate behind a cylinder. Phys. Fluids 25 (11), 110811.CrossRefGoogle Scholar
Lilly, J.M. & Olhede, S.C. 2008 Higher-order properties of analytic wavelets. IEEE Trans. Signal Process. 57 (1), 146–160.CrossRefGoogle Scholar
Lilly, J.M. & Olhede, S.C. 2010 On the analytic wavelet transform. IEEE Trans. Inf. Theory 56 (8), 4135–4156.CrossRefGoogle Scholar
Liu, P., Xing, Y., Guo, H. & Li, L. 2017 Design and performance of a small-scale aeroacoustic wind tunnel. Appl. Acoust. 116, 65–69.CrossRefGoogle Scholar
Luo, P., Chao, Y., Sutton, M. & Peters, W.-H. 1993 Accurate measurement of three-dimensional deformations in deformable and rigid bodies using computer vision. Exp. Mech. 33 (2), 123–132.CrossRefGoogle Scholar
Norberg, C. 1994 An experimental investigation of the flow around a circular cylinder: influence of aspect ratio. J. Fluid Mech. 258, 287–316.CrossRefGoogle Scholar
Norberg, C. 2003 Fluctuating lift on a circular cylinder: review and new measurements. J. Fluids Struct. 17 (1), 57–96.CrossRefGoogle Scholar
Octavianty, R. & Asai, M. 2016 Effects of short splitter plates on vortex shedding and sound generation in flow past two side-by-side square cylinders. Exp. Fluids 57 (9), 143.CrossRefGoogle Scholar
Olhede, S.C. & Walden, A.T. 2002 Generalized morse wavelets. IEEE Trans. Signal Process. 50 (11), 2661–2670.CrossRefGoogle Scholar
Ozono, S. 1999 Flow control of vortex shedding by a short splitter plate asymmetrically arranged downstream of a cylinder. Phys. Fluids 11 (10), 2928–2934.CrossRefGoogle Scholar
Pan, C., Wang, H. & Wang, J. 2013 Phase identification of quasi-periodic flow measured by particle image velocimetry with a low sampling rate. Meas. Sci. Technol. 24 (5), 055305.CrossRefGoogle Scholar
Pan, B., Xie, H.M., Xu, B.Q. & Dai, F.L. 2006 Performance of sub-pixel registration algorithms in digital image correlation. Meas. Sci. Technol. 17 (6), 1615–1621.Google Scholar
Pan, B., Xie, H., Yang, L. & Wang, Z. 2009 Accurate measurement of satellite antenna surface using 3D digital image correlation technique. Strain 45 (2), 194–200.CrossRefGoogle Scholar
Phillips, O.M. 1956 The intnesity of Aeolian tones. J. Fluid Mech. 1 (6), 607–624.CrossRefGoogle Scholar
Pobering, S. & Schwesinger, N. 2004 A novel hydropower harvesting device. In 2004 International Conference on MEMS, NANO and Smart Systems (ICMENS'04). IEEE.Google Scholar
Procaccia, I. 1988 Universal properties of dynamically complex systems: the organization of chaos. Nature 333 (6174), 618–623.CrossRefGoogle Scholar
Qu, Y., Wang, J., Feng, L. & He, X. 2019 Effect of excitation frequency on flow characteristics around a square cylinder with a synthetic jet positioned at front surface. J. Fluid Mech. 880, 764–798.CrossRefGoogle Scholar
Qu, Y., Wang, J., Sun, M., Feng, L., Pan, C., Gao, Q. & He, G. 2017 Wake vortex evolution of square cylinder with a slot synthetic jet positioned at the rear surface. J. Fluid Mech. 812, 940–965.CrossRefGoogle Scholar
Robbins, W.P., Morris, D., Marusic, I. & Novak, T.O. 2006 Wind-generated electrical energy using flexible piezoelectric mateials. In Proceedings of the ASME 2006 International Mechanical Engineering Congress and Exposition. pp. 581–590. ASME.CrossRefGoogle Scholar
Roshko, A. 1954 On the drag and shedding frequency of two-dimensional bluff bodies. NACA Tech. Notes 3196, 29.Google Scholar
Roshko, A. 1993 Perspectives on bluff body aerodynamics. J. Wind Engng Ind. Aerodyn. 49 (1–3), 79–100.CrossRefGoogle Scholar
Sahu, T.R., Furquan, M. & Mittal, S. 2019 Numerical study of flow-induced vibration of a circular cylinder with attached flexible splitter plate at low Re. J. Fluid Mech. 880, 551–593.CrossRefGoogle Scholar
Schlinker, R. & Amiet, R. 1976 Vortex noise from nonrotating cylinders and airfoils. In 14th Aerospace Sciences Meeting.CrossRefGoogle Scholar
Schmidt, L.V. 1965 Measurements of fluctuating air loads on a circular cylinder. J Aircraft 2 (1), 49–55.CrossRefGoogle Scholar
Serson, D., Meneghini, J.R., Carmo, B.S., Volpe, E.V. & Gioria, R.S. 2014 Wake transition in the flow around a circular cylinder with a splitter plate. J. Fluid Mech. 755, 582–602.CrossRefGoogle Scholar
Sharma, K. & Dutta, S. 2020 Flow control over a square cylinder using attached rigid and flexible splitter plate at intermediate flow regime. Phys. Fluids 32 (1), 014104.CrossRefGoogle Scholar
Shen, P., Lin, L., Wei, Y., Dou, H. & Tu, C. 2019 Vortex shedding characteristics around a circular cylinder with flexible film. Eur. J. Mech. (B / Fluids) 77, 201–210.CrossRefGoogle Scholar
Shukla, S., Govardhan, R. & Arakeri, J. 2013 Dynamics of a flexible splitter plate in the wake of a circular cylinder. J. Fluids Struct. 41, 127–134.CrossRefGoogle Scholar
Stäger, R. & Eckelmann, H. 1991 The effect of endplates on the shedding frequency of circular cylinders in the irregular range. Phys. Fluids A: Fluid Dyn. 3 (9), 2116–2121.CrossRefGoogle Scholar
Stansby, P. 1974 The effects of end plates on the base pressure coefficient of a circular cylinder. Aeronaut. J. 78 (757), 36–37.Google Scholar
Szepessy, S. & Bearman, P. 1992 Aspect ratio and end plate effects on vortex shedding from a circular cylinder. J. Fluid Mech. 234, 191–217.CrossRefGoogle Scholar
Taylor, G.W., Burns, J.R., Kammann, S., Powers, W.B. & Welsh, T.R. 2001 The energy harvesting eel: a small subsurface ocean/river power generator. IEEE J. Ocean. Engng 26 (4), 539–547.CrossRefGoogle Scholar
Teksin, S. & Yayla, S. 2017 Effects of flexible plate attached to the rear of the cylinder on flow structure. J. Mech. Sci. Technol. 31 (3), 1195–1201.CrossRefGoogle Scholar
Unal, M. & Rockwell, D. 1988 On vortex formation from a cylinder. Part 2. Control by splitter-plate interference. J. Fluid Mech. 190, 513–529.CrossRefGoogle Scholar
Wang, R., Bao, Y., Zhou, D., Zhu, H., Ping, H., Han, Z., Serson, D. & Xu, H. 2019 Flow instabilities in the wake of a circular cylinder with parallel dual splitter plates attached. J. Fluid Mech. 874, 299–338.CrossRefGoogle Scholar
Williams, J.F. & Zhao, B. 1989 The active control of vortex shedding. J. Fluids Struct. 3 (2), 115–122.CrossRefGoogle Scholar
Williamson, C.H. 1996 Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28 (1), 477–539.CrossRefGoogle Scholar
Wolf, A., Swift, J.B., Swinney, H.L. & Vastano, J.A. 1985 Determining Lyapunov exponents from a time series. Phys. D 16 (3), 285–317.CrossRefGoogle Scholar
Wu, J., Shu, C. & Zhao, N. 2014 Numerical study of flow control via the interaction between a circular cylinder and a flexible plate. J. Fluids Struct. 49, 594–613.CrossRefGoogle Scholar
You, D., Choi, H., Choi, M.-R. & Kang, S.-H. 1998 Control of flow-induced noise behind a circular cylinder using splitter plates. AIAA J. 36 (11), 1961–1967.CrossRefGoogle Scholar
Yu, L. & Pan, B. 2016 Single-camera stereo-digital image correlation with a four-mirror adapter: optimized design and validation. Opt. Lasers Engng 87, 120–128.CrossRefGoogle Scholar
Yu, L. & Pan, B. 2017 a Color stereo-digital image correlation method using a single 3CCD color camera. Exp. Mech. 57 (4), 649–657.CrossRefGoogle Scholar
Yu, L. & Pan, B. 2017 b Full-frame, high-speed 3D shape and deformation measurements using stereo-digital image correlation and a single color high-speed camera. Opt. Lasers Engng 95, 17–25.CrossRefGoogle Scholar
Yu, L. & Pan, B. 2017 c Single-camera high-speed stereo-digital image correlation for full-field vibration measurement. Mech. Syst. Sig. Process. 94, 374–383.CrossRefGoogle Scholar
Yucel, S., Cetiner, O. & Unal, M. 2010 Interaction of circular cylinder wake with a short asymmetrically located downstream plate. Exp. Fluids 49 (1), 241–255.CrossRefGoogle Scholar
Zhang, Z. 2000 A flexible new technique for camera calibration. IEEE Trans. Pattern Anal. Mach. Intell. 22 (11), 1330–1334.CrossRefGoogle Scholar
Zhou, J., Adrian, R.J., Balachandar, S. & Kendall, T. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353–396.CrossRefGoogle Scholar