Development of the calculation method of complex acoustic resonator parameters

Authors

DOI:

https://doi.org/10.15587/1729-4061.2015.46500

Keywords:

complex acoustic resonator, oscillation circuit, gas-dynamic analogies

Abstract

Despite the large number of works devoted to passive management methods of separated flows in the stages of axial fans, still little attention has been paid to the integrated approaches of impact on the end separated flows. In the paper, the calculation method of complex resonator parameters based on the method of hydro-gas-dynamic analogies was presented. The basic idea of using the complex resonator is pulse-periodic action on the end separated eddy flows, which consist of high-frequency and low-frequency components of oscillations. The paper presents the formation of generalized dependencies for calculating geometrical parameters of the complex resonator, which consists of two series-connected acoustic cavities, one of which is tuned to the high frequency component, and the other - to the low-frequency component of the oscillation field. The presented method allows to obtain the relationship between the geometric parameters of the complex acoustic resonator and the frequency of its natural oscillations. The research results can be used in the design of control systems of separated flows in the turbomachinery blade rows. 

Author Biographies

Микола Юрійович Богданов, National Aviation University 1 Kosmonavta Komarova, Kyiv, Ukraine, 03058

Senior teacher

Aviation engines department

Федір Іванович Кірчу, National Aviation University 1 Kosmonavta Komarova, Kyiv, Ukraine, 03058

Associate professor

Aviation engines department

References

  1. Kweder, J., Zeune, C. H., Geiger, J., Lowery, A. D., Smith, J. E. (2014). Experimental Evaluation of an Internally Passively Pressurized Circulation Control Propeller. Journal of Aerodynamics, 2014, 1–10. doi: 10.1155/2014/834132
  2. Schlichting, H. (1969). Boundary-layer theory. Moscow: Nauka, 713.
  3. Shafer, D., Ghee, T. (2005). Active and Passive Flow Control over the Flight Deck of Small Naval Vessels. 35th AIAA Fluid Dynamics Conference and Exhibit. doi: 10.2514/6.2005-5265
  4. Lupea, I. (2012). Considerations on the Helmholtz resonator simulation and experiment. Cluj-Napoca, Proceedings of the Romanian academy, 12 (2), 118–124.
  5. Singh, D. K., Rienstra, S. W. (2013). A systematic impedance model for non-linear Helmholtz resonator liner. 19th AIAA/CEAS Aeroacoustics Conference. doi: 10.2514/6.2013-2223
  6. Shimizu, T., Hori, D., Kitamura, K., Daimon, Y., Oyama, A. (2011). Slit Resonator Design and Damping Estimation in Linear and Non-linear Ranges. 41st AIAA Fluid Dynamics Conference and Exhibit. doi: 10.2514/6.2011-3261
  7. Kinsler, L. E. (2000). Fundamentals of Acoustics. New York, 10, 272–301.
  8. Bogdanov, M. J., Jasinіckij, E. P., Ohmakevich, V. M., Nіkіtіna, V. M., Kіnashhuk, M. І. (2013). Do pitannja zastosuvannja pasivnih metodіv upravlіnnja pogranichnim sharom dlja zmenshennja vtorinnih vtrat v lopatkovih vіncjah os'ovogo kompresora. Materіali ХI mіzhnarodnoi naukovo-tehnіchnoi konferencіi „AVІA-2013”, 3, 14.5–14.8.
  9. Gourdain, N., Leboeuf, F. (2009). Unsteady Simulation of an Axial Compressor Stage With Casing and Blade Passive Treatments. J. Turbomach., 131 (2), 021013. doi: 10.1115/1.2988156
  10. Smith, A., Gordeyev, S. (2013). Evaluation of Passive Boundary Layer Flow Control Methods for Aero-Optic Mitigation. 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. doi: 10.2514/6.2013-718
  11. Bunimovich, A. I., Svjatogorov, A. A. (1955). Nekotorye rezultaty jeksperimentalnogo issledovanija ploskih kompressornyh reshetok. Trudy CIAM, 307, 16–30.
  12. Poplavskaja, T. V., Kirilovskij, S. V., Maslov, A. A., Mironov, S. G., Cyrjulnikov, I. S. (2011). Interferecionnyj metod upravlenija razvitiem vozmushhenij v udarnom sloe na plastine. Mezhdunarodnaja konferencija «Sovremennye problemy prikladnoj matematiki i mehaniki : teorija, jeksperiment i praktika», 306–311.
  13. Tereshhenko, J. M., Lastivka, I. A., Voljanskaja, L. G., Doroshenko, E. V. (2011). The numerical simulation of flow on a plate with turbulators. Eastern-European, 5/8 (53), 56–58. Available at: http://journals.uran.ua/eejet/article/view/1280/1181
  14. Borodulin, V. I., Kachanov, J. S. (2011). Universal'nyj mehanizm porozhdenija pristennoj turbulentnosti i determinirovannaja turbulentnost. Vestnik Nizhegorodskogo un-ta im. N. I. Lobachevskogo, 4 (3), 653–655.
  15. Kornilov, V. I. (2010). Vlijanie vertikal'nyh ustrojstv razrushenija vihrej na ajerodinamicheskoe soprotivlenie ploskoj plastiny, Novosibirsk, 17 (2), 269–279.
  16. Szwaba, R., Flaszynsli, P., Szumski, J., Telega, J. (2007). Shock wave – boundary layer interaction control by air-jet streamwise vortices, 8th International Symposium on Experimental and Computational Aerothermodynamics of Internal Flows Lyon.
  17. Keller, M. A., Kloker, M. J., Kirilovskiy, S. V., Polivanov, P. A., Sidorenko, A. A., Maslov, A. A. (2014). Study of flow control by localized volume heating in hypersonic boundary layers. CEAS Space Journal, 6 (3-4), 119–132. doi: 10.1007/s12567-014-0064-y
  18. Ingard, U. (1953). On the theory and design of acoustic resonators. NE: J. Acoustic Soc. Am., 25 (6), 1037–1061.
  19. Tijdeman, H. (1975). On the propagation of sound waves in cylindrical tubes. Journal of Sound and Vibration, 39 (1), 1–33. doi: 10.1016/s0022-460x(75)80206-9
  20. Zwikker, C., Kosten, C. W. (1949). Sound Absorbing Materials. Amsterdam, NY, Elsevier, 1–2.
  21. Karal, F. C. (1953). The Analogous Acoustical Impedance for Discontinuities and Constrictions of Circular Cross Section. The Journal of the Acoustical Society of America, 25 (2), 327. doi: 10.1121/1.1907041
  22. Ingard, U. (1999). Notes On Duct Attenuators (N4). NE: Kittery Point.
  23. Paiva, R., Valimaki, V. (2012). The Helmholtz resonator tree. UK: Proc. of the 15th Int. Conference on Digital Audio Effects (DAFx-12).

Published

2015-08-21

How to Cite

Богданов, М. Ю., & Кірчу, Ф. І. (2015). Development of the calculation method of complex acoustic resonator parameters. Eastern-European Journal of Enterprise Technologies, 4(9(76), 15–21. https://doi.org/10.15587/1729-4061.2015.46500

Issue

Section

Information and controlling system