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Nonlinear resonance in an acoustic system with a coagulating gas suspension

  • Physical Foundations of Technical Acoustics
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Abstract

The occurrence of resonance in an acoustic system as a result of a change of the dispersion of a gas suspension filling a resonator with fixed external excitation parameters was studied. The dynamics of the medium is described by a system of equations of motion of a multi-velocity multi temperature continuum taking into account pulse and energy exchange between the carrier phase and the disperse fractions. Coagulation of different particle fractions is simulated by Smolukhovskii’s Lagrangian model, which takes into account pair collisions. Resonance occurs as a result of the resonance frequency of the system approaching a fixed external excitation frequency as a result of a change in the dispersion of the gas suspension during coagulation initiated by the addition of a small amount of the large particle fraction to the finely dispersed gas suspension. As a result of calculations, an estimate for the time of the change in dispersion of the system and the generation of resonance oscillations were obtained.

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References

  1. F. E. Grigorian and E. A. Pertsovskiy, Calculation and Design of Noise-reducing Mufflers of Power Plants (Energiya, Moscow, 1980), [in Russian]

    Google Scholar 

  2. V. G. Tonkonog, A. L. Tukmakov, K. M. Mukhitova, Yu. A. Agalakov, F. Sh. Serazetdin, and V. S. Gromov, in Proc. Int. Sci.-Tech. Conf. “Ten Innovation Machine-building Technologies. Equipment and Materials-2015” (Kazan’, 2015), pp. 124–128.

    Google Scholar 

  3. A. L. Tukmakov, V. G. Tonkonog, and S. N. Arslanova, Phys. Wave Phenom. 23 (3), 235–240 (2015).

    Article  ADS  Google Scholar 

  4. A. A. Shraiber, in Results of Science and Technics. Complex and Special Sections of Mechanics. Vol. 3 (VINITI, Moscow, 1988), pp. 3–80, [in Russian].

    Google Scholar 

  5. V. E. Alemasov, A. F. Dregalin, A. P. Tishin, and V. A. Khudyakov, Thermodynamical and Thermophysical Properties of Products of Combustions. A Handbook in 5 vol. Vol. 1. Methods of Calculation (VINITI, Moscow, 1971).

    Google Scholar 

  6. R. I. Nigmatulin, Dynamics of Multiphase Media. Part 1. (Nauka, Moscow, 1987).

    Google Scholar 

  7. A. G. Kutushev, Mathematical Simulation of Wave Processes in Aerodispersed and Powder-like Media (Nedra, St-Petersburg, 2003).

    Google Scholar 

  8. A. L. Tukmakov, V. G. Tonkonog, and S. N. Arslanova, Acoust. Phys. 62 (1), 125–131 (2016).

    Article  ADS  Google Scholar 

  9. D. A. Gubaidulin and A. L. Tukmakov, Matemat. Modelir. 26 (10), 109–119 (2014).

    Google Scholar 

  10. R. Read, J. Prausnitz, and T. Sherwood, Properties of Gases and Liquids (Wiley, New York, 1976).

    Google Scholar 

  11. C. A. J. Fletcher, computational techniques for fluid dynamics, vol. 1: fundamental and general techniques (springer verlag, berlin, 1988), 2nd ed.

    Book  MATH  Google Scholar 

  12. J. L. Steger, AIAA J. 16 (7), 679–686 (1978).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences, ul. Lobachevskogo 2/31, Kazan, 420111, Russia

    A. L. Tukmakov

  2. Kazan National Research Technical University n.a. A.N. Tupolev, ul. Karla Marksa 10, Kazan, 420111, Russia

    V. G. Tonkonog & N. A. Tukmakova

Authors
  1. A. L. Tukmakov
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  2. V. G. Tonkonog
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  3. N. A. Tukmakova
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Correspondence to A. L. Tukmakov.

Additional information

Original Russian Text © A.L. Tukmakov, V.G. Tonkonog, N.A. Tukmakova, 2017, published in Akusticheskii Zhurnal, 2017, Vol. 63, No. 5, pp. 566–572.

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Tukmakov, A.L., Tonkonog, V.G. & Tukmakova, N.A. Nonlinear resonance in an acoustic system with a coagulating gas suspension. Acoust. Phys. 63, 610–616 (2017). https://doi.org/10.1134/S106377101705013X

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  • DOI: https://doi.org/10.1134/S106377101705013X

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