Abstract
The concept of bound states in the continuum and leaky resonances is utilized in the design of a reactive silencer that can effectively suppress significant spectral lines while maintaining a low-pressure drop within the flow duct and does not require additional installation space. By adjusting the geometrical parameters of thin plates that are embedded in a waveguide, quasi-bound states (or leaky resonances) can be achieved. An optimization algorithm is employed to fine-tune these parameters, and this process is illustrated through two specific examples. The resulting design is validated through numerical simulations that account for the effects of low Mach number flow. The investigations showed that it is possible to design a spectral silencer with low-pressure drop based on the chosen approach. By combining several leaky resonances, stopbands were created with a transmission loss of up to 17 dB in a frequency range of 10 Hz.
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References
Hsu, C.W., Zhen, B., Stone, A.D., Joannopoulos, J.D., Soljačić, M.: Bound states in the continuum. Nat. Rev. Mater. 1(9), 1–13 (2016). https://doi.org/10.1038/natrevmats.2016.48
Sadreev, A.F.: Interference traps waves in an open system: bound states in the continuum. Rep. Prog. Phys. 84(5), 055901 (2021). https://doi.org/10.1088/1361-6633/abefb9
Parker, R.: Resonance effects in wake shedding from parallel plates: Some experimental observations. J. Sound Vib. 4(1), 62–72 (1966). https://doi.org/10.1016/0022-460x(66)90154-4
Parker, R.: Resonance effects in wake shedding from parallel plates: Calculation of resonant frequencies. J. Sound Vib. 5(2), 330–343 (1967). https://doi.org/10.1016/0022-460x(67)90113-7
Evans, D.V., Levitin, M., Vassiliev, D.: Existence theorems for trapped modes. J. Fluid Mech. 261, 21–31 (1994). https://doi.org/10.1017/s0022112094000236
Evans, D.: Trapped modes embedded in the continuous spectrum. Q. J. Mech. Appl. Mech. 51(2), 263–274 (1998). https://doi.org/10.1093/qjmam/51.2.263
Aslanyan, A.: Complex resonances in acoustic waveguides. Q. J. Mech. Appl. Mech. 53(3), 429–447 (2000). https://doi.org/10.1093/qjmam/53.3.429
Linton, C.M., McIver, M., McIver, P., Ratcliffe, K., Zhang, J.: Trapped modes for off-centre structures in guides. Wave Motion 36(1), 67–85 (2002). https://doi.org/10.1016/s0165-2125(02)00006-9
Duan, Y., Koch, W., Linton, C.M., McIver, M.: Complex resonances and trapped modes in ducted domains. J. Fluid Mech. 571, 119–147 (2007). https://doi.org/10.1017/s0022112006003259
Hein, S., Koch, W.: Acoustic resonances and trapped modes in pipes and tunnels. J. Fluid Mech. 605, 401–428 (2008). https://doi.org/10.1017/s002211200800164x
Hein, S., Koch, W., Nannen, L.: Fano resonances in acoustics. J. Fluid Mech. 664, 238–264 (2010). https://doi.org/10.1017/S0022112010003757
Hein, S., Koch, W., Nannen, L.: Trapped modes and fano resonances in two-dimensional acoustical duct-cavity systems. J. Fluid Mech. 692, 257–287 (2012). https://doi.org/10.1017/jfm.2011.509
Lyapina, A.A., Pilipchuk, A.S., Sadreev, A.F.: Trapped modes in a non-axisymmetric cylindrical waveguide. J. Sound Vib. 421, 48–60 (2018). https://doi.org/10.1016/j.jsv.2018.01.056
Sadreev, A.F., Pilipchuk, A.S., Lyapina, A.A.: Tuning of fano resonances by rotation of continuum: Wave faucet. EPL 117(5), 50011 (2017). https://doi.org/10.1209/0295-5075/117/50011
Chesnel, L., Pagneux, V.: Simple examples of perfectly invisible and trapped modes in waveguides. Q. J. Mech. Appl. Mech. 71(3), 297–315 (2018). https://doi.org/10.1093/qjmam/hby006
Chesnel, L., Pagneux, V.: From zero transmission to trapped modes in waveguides. J. Phys. A: Math. Theor. 52(16), 165304 (2019). https://doi.org/10.1088/1751-8121/ab0eeb
Deriy, I., Toftul, I., Petrov, M., Bogdanov, A.: Bound states in the continuum in compact acoustic resonators. Phys. Rev. Lett. 128(8), 084301 (2022). https://doi.org/10.1103/physrevlett.128.084301
Huang, S., Liu, T., Zhou, Z., Wang, X., Zhu, J., Li, Y.: Extreme sound confinement from quasibound states in the continuum. Phys. Rev. Appl. 14(2), 021001 (2020). https://doi.org/10.1103/physrevapplied.14.021001
Huang, S., Xie, S., Gao, H., Hao, T., Zhang, S., Liu, T., Li, Y., Zhu, J.: Acoustic purcell effect induced by quasibound state in the continuum. Fundam. Res. (2022). https://doi.org/10.1016/j.fmre.2022.06.009
Huang, L., Chiang, Y.K., Huang, S., Shen, C., Deng, F., Cheng, Y., Jia, B., Li, Y., Powell, D.A., Miroshnichenko, A.E.: Sound trapping in an open resonator. Nat. Commun. 12(1), 4819 (2021). https://doi.org/10.1038/s41467-021-25130-4
Schneider, M., Feldmann, C.: Psychoacoustic evaluation of fan noise. Proceeding of Fan (2015)
Czwielong, F., Soldat, J., Becker, S.: On the interactions of the induced flow field of heat exchangers with axial fans. Exp. Therm. Fluid Sci. 139, 110697 (2022). https://doi.org/10.1016/j.expthermflusci.2022.110697
Liu, J., Herrin, D., Seybert, A.: Application of micro-perforated panels to attenuate noise in a duct. Technical report, SAE Technical Paper (2007). https://doi.org/10.4271/2007-01-2196
Sack, S., Åbom, M.: Modal filters for mitigation of in-duct sound. In: Proceedings of Meetings on Acoustics 172ASA, vol. 29, p. 040004 (2016). https://doi.org/10.1121/2.0000473 . Acoustical Society of America
Floss, S., Kaltenbacher, M., Karlowatz, G.: Application and simulation of micro-perforated panels in hvac systems. Technical report, SAE Technical Paper (2018)
Igel, C., Hansen, N., Roth, S.: Covariance matrix adaptation for multi-objective optimization. Evol. Comput. 15(1), 1–28 (2007). https://doi.org/10.1162/evco.2007.15.1.1
Ildelchik, I.E.: Handbook of Hydraulic Resistance, 3rd edn, Washington (1986)
Kubas, Š., Kapjor, A., Vantúch, M., Čaja, A.: Determination of pressure loss of silencers during air transport in air conditioning. Transp. Res. Procedia 55, 707–714 (2021). https://doi.org/10.1016/j.trpro.2021.07.039
Chmielewski, B., Herrero-Durá, I., Nieradka, P.: Pressure loss in ducts by dissipative splitter silencers: Comparative study of standardized, numerical and experimental results. Appl. Sci. 11(22), 10998 (2021). https://doi.org/10.3390/app112210998
Munjal, M.L.: Acoustics of Ducts and Mufflers, 2nd edn. Wiley, Nashville (2014)
King, P.D.C., Cox, T.J.: Acoustic band gaps in periodically and quasiperiodically modulated waveguides. J. Appl. Phys. 102(1), 014902 (2007). https://doi.org/10.1063/1.2749483
Czwielong, F., Hruška, V., Bednařík, M., Becker, S.: On the acoustic effects of sonic crystals in heat exchanger arrangements. Appl. Acoust. 182, 108253 (2021). https://doi.org/10.1016/j.apacoust.2021.108253
Oh, T.S., Jeon, W.: Bandgap characteristics of phononic crystals in steady and unsteady flows. J. Acoust. Soc. Am. 148(3), 1181–1192 (2020). https://doi.org/10.1121/10.0001767
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This work was supported by the Grant Agency of the Czech Republic (GACR) Grant No. 22-33896S.
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VH, AK conceptualized the study; VH, AK, FC helped in methodology; VH, FC were involved in writing—original draft preparation; MB was involved in writing—review and editing, funding acquisition and supervision.
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Hruška, V., Krpenský, A., Bednar̆ík, M. et al. Novel design for acoustic silencers for ducts with flow based on the bound states in the continuum. Arch Appl Mech 93, 4517–4526 (2023). https://doi.org/10.1007/s00419-023-02508-y
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DOI: https://doi.org/10.1007/s00419-023-02508-y