Abstract
The initial shear layer characteristics of a jet play an important role in the initiation and development of instabilities and hence radiated noise. Particle image velocimetry has been utilized to study the initial shear layer development of supersonic free and impinging jets. Microjet control employed to reduce flow unsteadiness and jet noise appears to affect the development of the shear layer, particularly near the nozzle exit. Velocity field measurements near the nozzle exit show that the initially thin, uncontrolled shear layer develops at a constant rate while microjet control is characterized by a rapid nonlinear thickening that asymptotes downstream. The shear layer linear growth rate with microjet control, in both the free and the impinging jet, is diminished. In addition, the thickened shear layer with control leads to a reduction in azimuthal vorticity for both free and impinging jets. Linear stability theory is used to compute unstable growth rates and convection velocities of the resultant velocity profiles. The results show that while the convection velocity is largely unaffected, the unstable growth rates are significantly reduced over all frequencies with microjet injection. For the case of the impinging jet, microjet control leads to near elimination of the impingement tones and an appreciable reduction in broadband levels. Similarly, for the free jet, significant reduction in overall sound pressure levels in the peak radiation direction is observed.
Similar content being viewed by others
References
Alkislar, M.B., Krothapalli, A., Butler, G.: The effect of streamwise vortices on the aeroacoustics of a mach 0.9 jet. J. Fluid Mech. 578, 139–169 (2007)
Alvi, F., Shih, C., Elavarasan, R., Garg, G., Krothapalli, A.: Control of supersonic impinging jet flows using supersonic microjets. AIAA J. 41(7), 1347–1355 (2003)
Alvi, F.S., Lou, H., Shih, C., Kumar, R.: Experimental study of physical mechanisms in the control of supersonic impinging jets using microjets. J. Fluid Mech. 613, 55–83 (2008)
Brown, G.L., Roshko, A.: On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64(04), 775–816 (1974)
Crighton, D., Gaster, M.: Stability of slowly diverging jet flow. J. Fluid Mech. 77(02), 397–413 (1976)
Herbert, T.: Parabolized stability equations. Annu. Rev. Fluid Mech. 29(1), 245–283 (1997)
Jordan, P., Colonius, T.: Wave packets and turbulent jet noise. Annu. Rev. Fluid Mech. 45, 173–195 (2013)
Lou, H.: Control of supersonic impinging jets using microjets. Ph.D. thesis, The Florida State University (2005)
Mei, R.: Velocity fidelity of flow tracer particles. Exp. Fluids 22(1), 1–13 (1996)
Michalke, A.: Survey on jet instability theory. Prog. Aerosp. Sci. 21, 159–199 (1984)
Morris, P.J.: The instability of high speed jets. Int. J. Aeroacoustics 9(1), 1–50 (2010)
Morris, P.J., Giridharan, M.G., Lilley, G.M.: On the turbulent mixing of compressible free shear layers. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 431(1882), 219–243 (1990)
Munday, D., Gutmark, E., Liu, J., Kailasanath, K.: Flow structure and acoustics of supersonic jets from conical convergent-divergent nozzles. Phys. Fluids 23(11), 116 (2011).,102
Plaschko, P.: Helical instabilities of slowly divergent jets. J. Fluid Mech. 92(02), 209–215 (1979)
Powell, A.: The sound-producing oscillations of round underexpanded jets impinging on normal plates. J. Acoust. Soc. Am. 83(2), 515–533 (1988)
Samimy, M., Zaman, K., Reeder, M.: Effect of tabs on the flow and noise field of an axisymmetric jet. AIAA J. 31(4), 609–619 (1993)
Sheplak, M., Spina, E.F.: Control of high-speed impinging-jet resonance. AIAA J. 32(8), 1583–1588 (1994)
Shih, C., Alvi, F., Washington, D.: Effects of counterflow on the aeroacoustic properties of a supersonic jet. J. Aircr. 36(2), 451–457 (1999)
Sinha, A., Rodriguez, D., Bres, G., Colonius, T.: Wavepacket models for supersonic jet noise. J. Fluid Mech. 742, 71–95 (2014)
Suzuki, T., Colonius, T.: Instability waves in a subsonic round jet detected using a near-field phased microphone array. J. Fluid Mech. 565, 197–226 (2006)
Tam, C.K.: Supersonic jet noise. Annu. Rev. Fluid Mech. 27(1), 17–43 (1995)
Tam, C.K., Hu, F.Q.: On the three families of instability waves of high-speed jets. J. Fluid Mech. 201, 447–483 (1989)
Timmins, B.H., Wilson, B.W., Smith, B.L., Vlachos, P.P.: A method for automatic estimation of instantaneous local uncertainty in particle image velocimetry measurements. Exp. Fluids 53(4), 1133–1147 (2012)
Zaman, K.: Spreading characteristics of compressible jets from nozzles of various geometries. J. Fluid Mech. 383, 197–228 (1999)
Acknowledgments
The authors would like to acknowledge the support provided by the Florida Center for Advanced Aero-Propulsion (FCAAP). The authors also thank the support of FCAAP staff for their help in conducting experiments.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by A. Hadjadj.
Rights and permissions
About this article
Cite this article
Davis, T.B., Kumar, R. Shear layer characteristics of supersonic free and impinging jets. Shock Waves 25, 507–520 (2015). https://doi.org/10.1007/s00193-014-0540-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00193-014-0540-5