Vereshchagina T.N., Kudryaeva Y.V., Mikheev A.S.
A.I. Leypunsky Institute for Physics and Power Engineering, Obninsk, Russia
Helmholtz resonators are widely used in various noise absorption systems, including engine noise reduction. The Helmholtz resonator is also one component of the thermoacoustic devices: engines, refrigerators and heat pumps, which are being developed and brought to the market actively now.
DeltaEC is a computer program that allows to calculate characteristics of thermoacoustic equipment under designing. In order to master the program authors of this article created earlier a calculation model for acoustic characteristics of two Helmholtz resonators connected by a hole in a partitive diaphragm. A comparison of the calculated pressure resonant curves with the experimental data obtained earlier showed good agreement. It allows to make the conclusion about the program, and the calculation model adequacy and about the reliability of the obtained obtained as a result of calculations. The distribution through the experimental model height of the oscillations pressure amplitude and the air flow rate, obtained as a results of calculations, are discussed at the article. The calculated resonance curves for the volume air flow rate and velocity in the diaphragm orifice are presented. It is shown that the resonant velocity amplitude of the air oscillations in the orifice does not depend on its diameter. A linear dependence of the resonant velocity amplitude square on the piston oscillation amplitude is obtained and explained.
1. Bykov A.I. Issledovaniya akusticheskikh kharakteristik rezonatorov Gel'mgol'tsa v sistemakh snizheniya shuma. Diss. kand. tekhn. Nauk [Studies of the acoustic characteristics of Helmholtz resonators in noise reduction systems. Diss. cand. tech. sci.]. Moscow, 2021. 156 p.
2. Fedotov Ye.S., Pal'chikovskiy V.V. Issledovaniye raboty razonatora Gel'mgol'tsa v volnovode pryamougol'nogo secheniya [Investigation of the operation of the Helmholtz resonator in the wave-water of a rectangular cross section.]. Vestnik PNIPU. Aerokosmicheskaya tekhnika – Bulletin of PNRPU. Aerospace engineering, 2014, no. 38, pp. 107–126.
3. Radin D.V., Makaryants G.M., Zubrilin I.A. Metodika proyektirovaniya gasitelya pul'satsiy davleniya rezonansnogo tipa dlya kamer sgoraniya GTD na osnove metoda dinamicheskikh analogiy [Method of designing a resonant-type pressure pulsation damper for GTE combustion chambers based on the method of dynamic analogies]. Sb. dokl. Mezhd. nauchno-tekhn. konf. Problemy i perspektivy razvitiya dvigatelestroyeniya [Proc. of the Int. scientific and technical conf. “Problems and prospects for the development of engine building”]. Samara, 2021, pp. 142–143.
4. Gusling D.L., Copeland G.S., и др. Comustion System Damping Augmenttion with Helmgoltz Resonators. Journal of Engineering for Gas Turbines and Power, 2000, vol. 122(2), pp. 269–274.
5. Gorin S.V., Kuklin M.V. Osobennosti primeneniya rezonatorov Gel'mgol'tsa v truboprovodnykh sistemakh morskikh sudov [Features of the use of Helmholtz resonators in the pipeline systems of marine vessels]. Morskoy vestnik – Marine Bulletin, 2012, no. 1 (41), pp. 18–19.
6. Komkin A.I., Mironov M.A., Bykov A.I. Sound absorption by a Helmholtz resonator. Acoustical Physics, 2017, vol. 63, no. 4, pp. 385–392. DOI: 10.7868/S0320791917030078.
7. Komkin A.I. Osobennosti snizheniya shuma v kanale rezonatorom Gelʹmgolʹtsa [Peculiarities of noise reduction in the channel by the Helmholtz resonator]. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroyeniye – News of higher educational institutions. Engineering, 2011, no. 1, pp. 38–42.
8. Kanev N.G. Maximum sound absorption by a Helmholtz resonator in a room at low frequencies. Acoustical Physics, 2018, vol. 64, no. 6, pp. 774–777. DOI: 10.1134/S0320791918060059.
9. Arkadov G.V., Pavelko V.I., Usanov A.I. Vibroshumovaya diagnostika VVER [Vibronoise diagnostics of WWER]. Moscow, Energoatomizdat Publ., 2004. 344 p.
10. Proskuryakov K.N. The digital acoustic model of a pressurized water reactor. Thermal Engineering, 2021, vol. 68, no. 9, pp. 673–678. DOI: 10.1134/S0040601521090068.
11. Proskuryakov K.N., Anikeev A.V., Afshar E. Verification of a reactor’s digital acoustic model in the startup and nominal operation modes of NPPS equipped with VVER reactors. Thermal Engineering, 2021, vol. 68, no. 11, pp. 834–840. DOI: 10.1134/S0040363621100040.
12. Vereshchagina T.N., Mikheyev A.S., Kudryayeva Yu.V. Termoakusticheskiy effekt i yego primeneniye [Thermoacoustic Effect and Its Application]. Voprosy atomnoy nauki i tekhniki. Seriya: Yaderno-reaktornyye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2021, № 2, pp. 127–138.
13. Komkin Alexander, Bykov Aleksei, Mironov M.A. Experimental study of nonlinear acoustic impedance of circular orifices. The Journal of the Acoustical Society of America, 2020, vol. 148(3), pp. 1391–1403. DOI: 10.1121/10.0001940.
14. Nesterov S.V., Akulenko L.D., Baydulov V.G. Sobstvennyye kolebaniya akusticheskogo rezonatora s lokalʹnoy peregorodkoy [Eigenoscillations of an acoustic cavity with a local membrane]. DAN – RAS, 2016, vol. 61, no. 9, pp. 467–470. DOI: 10.7868/S0869565216270104.
15. Akulenko L.D., Nesterov S.V. Quasilinear self-excited oscillations of a Helmholtz resonator. DAN – RAS, 2003, vol. 48, no. 11, pp. 644–648.
16. Duben A.P., Kozubskaya T.K., Korolev S.I., Maslov V.P., Mironov A.K., Mironova D.A., Shakhparonov V.M. Acoustic flow in the resonator throat: experiment and computational modeling. Acoustical Physics, 2012. vol. 58, no. 1, pp. 69–80.
17. Zaikin A.A., Rudenko O.V. A Nonlinear Model of the Helmholtz resonator with a movable wall. Acoustical Physics, 1996, vol. 42, no. 3, pp. 378–382.
18. Sinyavskiy V.F., Fedotovskiy V.S., Vereshchagina T.N. et al. Kharakteristiki kolebaniy davleniya v sisteme rezonatorov Gel'mgol'tsa pri garmonicheskikhikh kolebaniyakh sredy [Experience in calculating the acoustic characteristics of coupled Helmholtz resonators using the DeltaEC program]. Sb. tezisov dokladov otraslevoy konferentsii “Teplofizika-99”. Gidrodinamika i bezopasnostʹ AES [Proc. of the Industry Conference “Thermophysics-99”. Hydrodynamics and Safety of NPP]. Obninsk, 1999, pp. 330–332.
19. Vereshchagina T.N., Kudryayeva Yu.V., Mikheyev A.S. Opyt rascheta akusticheskikh kharakteristik svyazannykh rezonatorov Gel'mgol'tsa s pomoshch'yu programmy DeltaEC [Experience in Calculating the Acoustic Characteristics of Coupled Helmholtz Resonators Using the DeltaEC Software]. Voprosy atomnoy nauki i tekhniki. Seriya: Yaderno-reaktornyye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2022, no. 1, pp. 220–229.
20. Kuchling H. Physics. Moscow, Mir, 1982. 519 p.