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.
Similar content being viewed by others
REFERENCES
L. S. G. Kovasznay, “The hot-wire anemometer in supersonic flow,” J. Aerosp. Sci. 17 (9), 565–572 (1950).
V. A. Lebiga, Hot Wire Anemometry of Compressible Flows (Novosibirsk State University, Novosibirsk, 1997) [in Russian].
P. G. Mikhailov, V. I. Butov, and A. V. Gorish, “Piezoelectric sensors of dynamic, pulse and acoustic pressures,” Radiotekhnika, No. 10, 36–37 (1995).
M. V. Bogush, Piesoelectrical Sensors for Extreme Operation Conditions (TsVVR, Rostov-on-Don, 2006) [in Russian].
M. Raffel, C. Willert, and J. Kompenhans, Particle Image Velocimetry: A Practical Guide (Springer, Berlin, 1998).
G. Meier, “Computerized background-oriented schlieren,” Exp. Fluids 33 (1), 181–187 (2002).
W. Merzkirch, Flow Visualization (Academic Press, Orlando, 1987).
N. B. Bazylev and N. A. Fomin, Quantitative Speckle Imaging of Flows (Belaruskaya navuka, Minsk, 2016) [in Russian].
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].
A. A. Kilbas, Integral Equations: Series of Lectures (BGU, Minsk, 2005) [in Russian].
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
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).
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).
V. Yakhot and S. A. Orszag, “Renormalization group analysis of turbulence: I. Basic theory,” J. Sci. Comput. 1 (1), 3–51 (1986).
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).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by A. Nikol’skii
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1024856021030106