Development of the calculation method of complex acoustic resonator parameters
DOI:
https://doi.org/10.15587/1729-4061.2015.46500Keywords:
complex acoustic resonator, oscillation circuit, gas-dynamic analogiesAbstract
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.
References
- 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
- Schlichting, H. (1969). Boundary-layer theory. Moscow: Nauka, 713.
- 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
- Lupea, I. (2012). Considerations on the Helmholtz resonator simulation and experiment. Cluj-Napoca, Proceedings of the Romanian academy, 12 (2), 118–124.
- 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
- 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
- Kinsler, L. E. (2000). Fundamentals of Acoustics. New York, 10, 272–301.
- 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.
- 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
- 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
- Bunimovich, A. I., Svjatogorov, A. A. (1955). Nekotorye rezultaty jeksperimentalnogo issledovanija ploskih kompressornyh reshetok. Trudy CIAM, 307, 16–30.
- 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.
- 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
- 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.
- Kornilov, V. I. (2010). Vlijanie vertikal'nyh ustrojstv razrushenija vihrej na ajerodinamicheskoe soprotivlenie ploskoj plastiny, Novosibirsk, 17 (2), 269–279.
- 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.
- 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
- Ingard, U. (1953). On the theory and design of acoustic resonators. NE: J. Acoustic Soc. Am., 25 (6), 1037–1061.
- 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
- Zwikker, C., Kosten, C. W. (1949). Sound Absorbing Materials. Amsterdam, NY, Elsevier, 1–2.
- 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
- Ingard, U. (1999). Notes On Duct Attenuators (N4). NE: Kittery Point.
- Paiva, R., Valimaki, V. (2012). The Helmholtz resonator tree. UK: Proc. of the 15th Int. Conference on Digital Audio Effects (DAFx-12).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Микола Юрійович Богданов, Федір Іванович Кірчу
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.