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Reconstruction of the Spatial Distribution of the Average Air Density in a Supersonic Jet Based on Results of Laser Illumination

  • OPTICS OF STOCHASTICALLY-HETEROGENEOUS MEDIA
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Abstract

The possibility of reconstructing the spatial distribution of average air density in a supersonic jet from results of laser transillumination is considered. It is shown that the reconstruction procedure for axisymmetric flows can be performed based on Abel transforms by results of measurements of local wavefront tilts. An algorithm for reconstructing the average density of air in a medium from the deviations of the front of the transillumination wave relative to the jet axis is developed. The algorithm is tested in experiments on the vertical jet facility of the Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences. The results agree well both with contact measurement data known from the literature and with the numerical solution of the hydrodynamic problem.

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REFERENCES

  1. L. S. G. Kovasznay, “The hot-wire anemometer in supersonic flow,” J. Aerosp. Sci. 17 (9), 565–572 (1950).

    Google Scholar 

  2. V. A. Lebiga, Hot Wire Anemometry of Compressible Flows (Novosibirsk State University, Novosibirsk, 1997) [in Russian].

    Google Scholar 

  3. P. G. Mikhailov, V. I. Butov, and A. V. Gorish, “Piezoelectric sensors of dynamic, pulse and acoustic pressures,” Radiotekhnika, No. 10, 36–37 (1995).

    Google Scholar 

  4. M. V. Bogush, Piesoelectrical Sensors for Extreme Operation Conditions (TsVVR, Rostov-on-Don, 2006) [in Russian].

  5. M. Raffel, C. Willert, and J. Kompenhans, Particle Image Velocimetry: A Practical Guide (Springer, Berlin, 1998).

    Book  Google Scholar 

  6. G. Meier, “Computerized background-oriented schlieren,” Exp. Fluids 33 (1), 181–187 (2002).

    Article  Google Scholar 

  7. W. Merzkirch, Flow Visualization (Academic Press, Orlando, 1987).

    MATH  Google Scholar 

  8. N. B. Bazylev and N. A. Fomin, Quantitative Speckle Imaging of Flows (Belaruskaya navuka, Minsk, 2016) [in Russian].

  9. V. P. Aksenov, V. A. Banakh, V. V. Valuev, V. E. Zuev, V. V. Morozov, I. N. Smalikho, and R. Sh. Tsvyk, High-Power Laser Beams in Randomly Inhomogeneous Atmosphere, Ed. by V.A. Banakh (Publishing House of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 1998) [in Russian].

    Google Scholar 

  10. A. A. Kilbas, Integral Equations: Series of Lectures (BGU, Minsk, 2005) [in Russian].

    MATH  Google Scholar 

  11. V. M. Boyko, A. V. Dostovalov, V. I. Zapryagaev, I. N. Kavun, N. P. Kiselev, and A. A. Pivovarov, “Investigation of supersonic nonisobaric jet structure,” TsAGI Sci. J. 41 (2), 187–205 (2010). https://doi.org/10.1615/TsAGISciJ.v41.i2.80

  12. V. I. Zapryagaev, N. P. Kiselev, and A. A. Pivovarov, “Gasdynamic structure of an axisymmetric supersonic underexpanded jet,” Fluid Dynamics 50 (1), 87–97 (2015).

    Article  ADS  Google Scholar 

  13. V. A. Banakh, D. A. Marakasov, and A. A. Sukharev, “Reconstruction of the radial dependence of the structural characteristic of the refractive index in a supersonic gas flow from laser beam intensity fluctuations,” Opt. Spectrosc. 108 (1), 117–122 (2010).

    Article  ADS  Google Scholar 

  14. V. Yakhot and S. A. Orszag, “Renormalization group analysis of turbulence: I. Basic theory,” J. Sci. Comput. 1 (1), 3–51 (1986).

    Article  MathSciNet  Google Scholar 

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ACKNOWLEDGMENTS

We are grateful to Cand. Sci. (Phys.–Math.) R.Sh. Tsvyk for help in preparing the equipment and valuable advice and to researchers of the Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Dr. Sci. (Tech.) V.I. Zapryagaev, Cand. Sci. (Phys.–Math.) N.P. Kiselev, and V.V. Bashurov for their help in organization of the experiment.

Funding

The experimental investigation and processing of experimental data were supported by the Russian Foundation for Basic Research (project no. 18-38-20 115). The reconstruction method was developed financial support of the Ministry of Science and Higher Education of the Russian Federation (V.E. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences).

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Authors and Affiliations

  1. V.E. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences, 634055, Tomsk, Russia

    D. A. Marakasov, V. A. Banakh & A. A. Sukharev

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  1. D. A. Marakasov
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  2. V. A. Banakh
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  3. A. A. Sukharev
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Correspondence to D. A. Marakasov, V. A. Banakh or A. A. Sukharev.

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The authors declare that they have no conflicts of interest.

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Translated by A. Nikol’skii

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Marakasov, D.A., Banakh, V.A. & Sukharev, A.A. Reconstruction of the Spatial Distribution of the Average Air Density in a Supersonic Jet Based on Results of Laser Illumination. Atmos Ocean Opt 34, 198–204 (2021). https://doi.org/10.1134/S1024856021030106

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  • DOI: https://doi.org/10.1134/S1024856021030106

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