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Fluid Dynamics

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01-07-2021

On the Relationship between Velocity and Pressure Fluctuations at the Axis of a Turbulent Jet and in Its Near Field

Authors: O. P. Bychkov, G. A. Faranosov

Published in: Fluid Dynamics | Issue 4/2021

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Abstract—

The relationship between velocity and pressure fluctuations in the near field of a subsonic turbulent jet and at its axis is investigated. The data of the measurements of the velocity fluctuations at the jet axis and the pressure fluctuations in the jet near-field are analyzed. It is shown that the spectral characteristics of the velocity fluctuations at the axis can be converted to the spectra of the axisymmetric mode of the pressure fluctuations outside the jet. The conversion is based on the use of the eigenfunctions of the pressure fluctuations obtained in solving the stability problem for a cylindrical mixing layer of finite thickness in the locally-parallel approximation.

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M. J. Lighthill, “On sound generated aerodynamically: I. General theory,” Proc. Roy Soc. Ser. A 211, 564–581 (1952).ADSMathSciNetMATH

P. Jordan and Y. Gervais, “Subsonic jet aeroacoustics: associating experiment, modelling and simulation,” Experiments Fluids 44(1), 1–21 (2008).ADSCrossRef

S. C. Crow and F. H. Champagne, “Orderly structure in jet turbulence,” J. Fluid Mech. 48(3), 547–591 (1971).ADSCrossRef

C. Tam and L. Aurialt, “Jet mixing noise from fine-scale turbulence, ” AIAA J. 37(2), 145–153 (1999).ADSCrossRef

M. E. Goldstein, “A generalized acoustic analogy,” J. Fluid Mech. 488, 315–333 (2003).ADSMathSciNetCrossRef

V. F. Kopiev and S. A. Chernyshev, “New correlation model for the cascade of turbulent pulsations as a noise source in jets,” Acoust. Physics 58(4), 442–456 (2012).ADSCrossRef

T. Kh. Sedel’nikov, “On the frequency spectrum of supersonic jet noise,” in: Physics of Aerodynamic Noises (Nauka, Moscow, 1967) [in Russian].

C. K. W. Tam and D. E. Burton, “Sound generated by instability waves of supersonic flows: Part 2. Axisymmetric jets,” J. Fluid Mech. 138, 273–295 (1984).ADSMathSciNetCrossRef

M. Yu. Zaitsev, V. F. Kopiev, and S. A. Chernyshev, “Experimental investigation of the role of instability waves in noise radiation by supersonic jets,” Fluid Dynamics 44(4), 587–595 (2009).ADSCrossRef

10.

V. Kopiev, M. Zaitsev, S. Chernyshev, and N. Ostrikov, “Vortex ring input in subsonic jet noise,” Intern. J. Aeroacoustics 6(4), 375–405 (2007).CrossRef

11.

C. K. W. Tam, K. Viswanathan, K. K. Ahuja, and J. Panda, “The sources of jet noise: experimental evidence,” J. Fluid Mech. 615, 253–292 (2008).ADSCrossRef

12.

L. A. Benderskii and S. Yu. Krasheninnikov, “Investigation of noise generation by turbulent jets on the basis of numerical simulation of unsteady flow in mixing layers,” Fluid Dynamics 51(4), 568–580 (2016).ADSMathSciNetCrossRef

13.

S. Yu. Krasheninnikov, A. K. Mironov, and L. A. Benderskii, “Analysis of noise generation by turbulent jets from consideration of their near acoustical field,” Acoust. Physics 64(6), 718–730 (2018).ADSCrossRef

14.

T. Suzuki and T. Colonius, “Instability waves in a subsonic round jet detected using a near-field phased microphone array,” J. Fluid Mech. 565, 197–226 (2006).ADSCrossRef

15.

I. V. Belyaev, O. P. Bychkov, M. Yu Zaitsev, V. A. Kopiev, V. F. Kopiev, N. N. Ostrikov, G. A. Faranosov, and S. A. Chernyshev, “Development of the strategy of active control of instability waves in unexcited turbulent jets,” Fluid Dynamics 53(3), 347–360 (2018).ADSMathSciNetCrossRef

16.

P. Jordan and T. Colonius, “Wave packets and turbulent jet noise,” Annu. Rev. Fluid Mech. 45, 173–195 (2013).ADSMathSciNetCrossRef

17.

A. S. Ginevskii, E. V. Vlasov, and R. K. Karavosov, Acoustic Control of Turbulent Jets (Fizmatlit, Moscow, 2001) [in Russian].

18.

A. V. G. Cavalieri, P. Jordan, W. R. Wolf, and Y. Gervais, “Scattering of wave packets by a flat plate in the vicinity of a turbulent jet,” J. Sound Vibr. 333(24), 6516–6531 (2014).ADSCrossRef

19.

B. Lyu, A. P. Dowling, and I. Naqavi, “Prediction of installed jet noise,” J. Fluid Mech. 811, 234–268 (2017).ADSMathSciNetCrossRef

20.

O. P. Bychkov and G. A. Faranosov, “An experimental study and theoretical simulation of jet-wing interaction noise,” Acoust. Physics 64(4), 437–452 (2018).ADSCrossRef

21.

G. Faranosov, P. Bychkov, V. Kopiev, L. F. Soares, and A. V. Cavalieri, “The modeling of jet-plate interaction noise in the presence of co-flow,” AIAA Paper No. 2492 (2019).

22.

A. V. G. Cavalieri, D. Rodriguez, P. Jordan, T. Colonius, and Y. Gervais, “Wavepackets in the velocity field of turbulent jets,” J. Fluid Mech. 730, 559–592 (2013).ADSMathSciNetCrossRef

23.

L. F. M. Soares, A. V. G. Cavalieri, V. Kopiev, and G. Faranosov, “Flight effects on turbulent-jet wavepackets,” AIAA J. 58(9), 3877–3888 (2020).ADSCrossRef

24.

L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, Oxford, 1987). Sect. 88.

25.

R. E. A. Arndt, D. F. Long, and M. N. Glauser, “The proper orthogonal decomposition of pressure fluctuations surrounding a turbulent jet,” J. Fluid Mech. 340, 1–33 (1997).ADSCrossRef

26.

J. H. Citriniti and W. K. George, “Reconstruction of the global velocity field in the axisymmetric mixing layer utilizing the proper orthogonal decomposition,” J. Fluid Mech. 418, 137–166 (2000).ADSCrossRef

27.

V. F. Kopiev, S. A. Chernyshev, M. Yu. Zaitsev, and V. M. Kuznetsov, “Experimental validation of instability wave theory for round supersonic jet,” AIAA Paper no. 2595 (2006).

28.

K. Gudmundsson, “Instability wave models of turbulent jets from round and serrated nozzles,” PhD Thesis, California Institute of Technology (2010).

29.

G. Faranosov, P. Bychkov, V. Kopiev, V. A. Kopiev, I. Moralev, and P. Kazansky, “Plasma-based active closed-loop control of instability waves in unexcited turbulent jet. Part 1. Free jet,” AIAA Paper No. 2557 (2019).

Title: On the Relationship between Velocity and Pressure Fluctuations at the Axis of a Turbulent Jet and in Its Near Field
Authors: O. P. Bychkov
G. A. Faranosov
Publication date: 01-07-2021
Publisher: Pleiades Publishing
Published in: Fluid Dynamics / Issue 4/2021
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI: https://doi.org/10.1134/S0015462821040042

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