Abstract
The outflow of a cold supersonic off-design jet with the nozzle pressure ratio of 21.8 is calculated using the high-resolution RANS/ILES method. For the nozzle under consideration and at the given nozzle pressure ratio the exit-to-ambient pressure ratio is 0.6. The jet is characterized by a long supersonic region with many “barrels.” The calculations are validated against the experimental data. The fluctuating and acoustic characteristics of the jet flow under consideration are compared with the characteristics of other supersonic jets. The geometric dimensions of the barrels and the acoustic properties of the jet are estimated from the known empirical relations for supersonic jets.
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S. Li, B. Muddle, M. Jahedi, and J. Soria, “Numerical investigation of the cold spray process using underexpanded and overexpanded jets,” J. Thermal Spray Techn. 21 (1), 108 (2012).
H. Tabbara, S. Gu, and D. G. McCartney, “Computational modelling of titanium particles in warm spray,” Computers Fluids 44, 358 (2011).
Jafari Hamed, Emami Sobhan, and Mahmoudi Yasser, “Numerical investigation of dual-stage high velocity oxy-fuel (HVOF) thermal spray process: a study on nozzle geometrical parameters,” Applied Thermal Eng. 111, 745 (2017).
D.A. Benderskii and D.A. Lyubimov, “Analysis of the nozzle exit flow parameter effect on the turbulence characteristics and the noise level in jets issuing from nozzles of different types,” Fluid Dynamics 50 (6), 812 (2015).
Y.-H. Kweon, Y. Miyazato, T. Aoki, H.-D. Kim, and T. Setoguchi, “Control of supersonic jet noise using a wire device,” J. Sound Vibr. 297, 167 (2006).
V. Vuorinen, J. Yu, S. Tirunagari, O. Kaario, M. Larmi, C. Duwig, and B. J. Boersma, “Large-eddy simulation of highly underexpanded transient gas jets,” Phys. Fluids 25, 016101 (2013).
K. Kailasanath, J. Liu, E. Gutmark, D. Munday, and S. Martens, “Impact of mechanical chevrons on supersonic jet flow and noise,” in: Proceedings of ASME Turbo Expo 2009: Power for Land, Sea and Air. GT2009-59307.
M. S. Antipova, A. A. Dyad'kin, V. I. Zapryagaev, and A. N. Krylov, “Computer simulation of the outflow of a cold supersonic jet,” Kosm. Tekhn. Tekhnol. No. 1 (12), 5 (2016).
V. I. Zapryagaev, I. N. Kavun, and S. G. Kundasev, “Numerical and experimental investigation of the gasdynamic structure of a supersonic overexpanded jet,” Vestn. Novosibirsk Univ. Ser. Fizika 8 (4), 84 (2013).
D. A. Lyubimov, “Development and application of a high-resolution technique for jet flow computations using large eddy simulation,” High Temperature 50 (3), 420 (2012).
A. Sureshand H. T. Huynh, “accurate monotonicity-preserving schemes with Runge—Kutta time stepping,” J. Comput. Phys. 136 (1), 83 (1997).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, Oxford, 1987).
J. E. Ffowcs Williams and D. L. Hawkings, “Sound generated by turbulence and surfaces in unsteady motion,” Phil. Trans. Roy. Soc. Sen A 264 (91141), 321 (1969).
Y. Ozyoruk and L. Long, “A new efficient algorithm for computational aeroacoustics on parallel processors,” J. Comput. Phys. 125, 135 (1996).
L. A. Benderskii, D. A. Lyubimov, I. V. Potekhina, and A. E. Fedorenko, “Application of the high resolution RANS/ILES technology for flow simulation and the nearby acoustic field of Near-Wall jets,” TsAGI Sci. J. 47(2), 159 (2016).
D. C. Pack, “A note on prandtl's formula for the wavelength of a supersonic gas jet,” Quart. J. Mech. Appl. Math. 3, 173 (1950).
C. K. W Tarn, J. M. Seiner, and J. C. Yu, “Proposed relationship between broadband shock associated noise and screech tones,” J. Sound Vibr. 110 (2), 309 (1986).
N. Heeb, E. Gutmark, and K Kailasanath, “Impact of chevron spacing and asymmetric distribution on supersonic jet acoustics and flow,” J. Sound Vibr. 370, 54 (2016).
D. Munday, E. Gutmark, J. Liu, and K Kailasanath, “Flow structure and acoustics of supersonic jets from conical convergent-divergent nozzles,” Phys. Fluids 23 (11), 116102 (2011).
J. Liu, A. Corrigan, K Kailasanath, R. Ramammurti, N. Neeb, D. Munday, and E. Gutmark, “Impact of deck and jet blast deflector on the flow and acoustic properties of imperfectly expanded supersonic jets,” AIAA Paper No. 323 (2013).
J. C. Lau, “Effects of exit mach numbers and temperature on mean-flow and turbulence characteristics in round jets,” J. Fluid Mech. 105, 193 (1981).
B. G. Jones, R. J. Adrian, C. K Nithianandan, and H. P. Planchon, “Spectra of turbulent static pressure fluctuations in jet mixing layers,” AIAA J. 17 (5), 449 (1979).
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The authors wish to thank V. I. Zapryagaev who initiated this study.
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Russian Text © The Author(s), 2019, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2019, No. 1, pp. 115–123.
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Ayupov, R.S., Benderskii, L.A. & Lyubimov, D.A. RANS/ILES Analysis of the Flow Pattern and the Acoustic Characteristics of a Supersonic Off-Design Jet at Large Nozzle Pressure Ratios. Fluid Dyn 54, 114–122 (2019). https://doi.org/10.1134/S0015462819010038
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DOI: https://doi.org/10.1134/S0015462819010038