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A low-dimensional approach to closed-loop control of a Mach 0.6 jet

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Abstract

Simultaneous time-resolved measurements of the near-field hydrodynamic pressure field, 2-component streamwise velocity field, and far-field acoustics are taken for an un-heated, axisymmetric Mach 0.6 jet in co-flow. Synthetic jet actuators placed around the periphery of the nozzle lip provide localized perturbations to the shear layer. The goal of this study was to develop an understanding of how the acoustic nature of the jet responds to unsteady shear layer excitation, and subsequently how this can be used to reduce the far-field noise. Review of the cross-correlations between the most energetic low-order spatial Fourier modes of the pressure and the far-field region reveals that mode 0 has a strong correlation and mode 1 has a weak correlation with the far-field. These modes are emulated with the synthetic jet array and used as drivers of the developing shear layer. In open loop forcing configurations, there is energy transfer among spatial scales, enhanced mixing, a reconfiguration of the low-dimensional spatial structure, and an increase in the overall sound pressure level (OASPL). In the closed loop configuration, changes to these quantities are more subtle but there is a reduction in the overall fluctuating sound pressure level OASPLf by 1.35 dB. It is argued that this reduction is correlated with the closed loop control feeding back the dynamical low-order information measured in the largest noise producing region.

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References

  • Adrian RJ (1977) On the role of conditional averages in turbulence theory. In: Proceedings of the fourth biennial symposium on turbulence in liquids, pp 323–332

  • Ahuja K (1976) Noise studies of cold and heated model jets at supersonic and high subsonic speeds with particular reference to noise reduction. PhD Dissertation, Syracuse University

  • Alkislar M, Krothapalli A, Butler GW (2007) The effect of streamwise vortices on the aeroacoustics of a mach 0.9 jet. J Fluid Mech 578:139–169

    Article  MATH  Google Scholar 

  • Andino MY, Wallace RD, Glauser MN, Schmit RF, Myatt JH (2011) Boundary feedback flow control: proportional control with potential application to aero-optics. AIAA J 49(01):32–40

    Article  Google Scholar 

  • Arakeri VH, Krothapalli A, Siddavaram V, Alkislar MB, Lourenco L (2003) On the use of microjets to suppress turbulence in a mach 0.9 axisymmetric jet. J Fluid Mech 490:75–98

    Article  MATH  Google Scholar 

  • Bargsten C, Gibson MT (2011) Nasa innovation in aeronautics: select technologies that have shaped modern aviation (the chevron nozzle: a novel approach to reducing jet noise). NASA/TM (216987)

  • Batchelor GK (1951) Pressure fluctuations in isotropic turbulence. Math Proc Camb Philos Soc 47(02):359–374

    Article  MathSciNet  MATH  Google Scholar 

  • Boree J (2003) Extended proper orthogonal decomposition, a tool to analyse correlated events in turbulent flows. Exp Fluids 35(02):188–192

    Article  Google Scholar 

  • Bridges J, Brown CA (2004) Parametric testing of chevrons on single flow hot jets. NASA/TM213107

  • Brown C, Bridges J (2003) An analysis of model scale data transformation to full scale flight using chevron nozzles. NASA/TM (212732)

  • Brown CA, Bridges J (2006) Acoustic efficiency of azimuthal modes in jet noise using chevron nozzles. In: 12th AIAA/CEAS aeroacoustics conference (27th AIAA aeroacoustics conference) (2645)

  • Brown GL, Roshko A (1974) On density effects and large structure in turbulent mixing layers. J Fluid Mech 64(04):775–816

    Article  Google Scholar 

  • Calkins FT, Butler GW, Mabe JH (2006) Variable geometry chevrons for jet noise reduction. In: 12th AIAA/CEAS aeroacoustics conference (27th AIAA aeroacoustics conference) (2546)

  • Callender B, Gutmark E, Martens S (2005) Far-field acoustic investigation into chevron nozzle mechanisms and trends. AIAA J 43(01):87–95

    Article  Google Scholar 

  • Citriniti JH, George WK (2000) Reconstruction of the global velocity field in the axisymmetric mixing layer utilizing the proper orthogonal decomposition. J Fluid Mech 418(01):137–166

    Article  MATH  Google Scholar 

  • Coe DJ, Allen MG, Trautman MA, Glezer A (1994) Micromachined jets for manipulation of macroflows. In: Solid-state sensor and actuator workshop

  • Coe DJ, Allen MG, Smith BL, Glezer A (1995) Addressable micromachined jet arrays. Technical Digest: TRANSDUCERS

  • Crook A, Sadri M, Wood NJ (1999) The development and implementation of synthetic jets for the control of separated flow. In: AIAA 17th Applied Aerodynamics Conference, Paper No. 99–3176

  • Crow SC, Champagne FH (1971) Orderly structure in jet turbulence. J Fluid Mech 48(03):547–591

    Article  Google Scholar 

  • Ffowcs Williams JE, Kempton AJ (1978) The noise from the large-scale structure of a jet. J Fluid Mech 84:673–694

    Google Scholar 

  • Fischer MK, Samimy M (2010) Noise control of a high reynolds number mach 1.3 heated jet using plasma actuators. In: 48th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition (0013)

  • Gaitonde DV, Samimy M (2010) Effect of plasma-based azimuthal mode excitation on supersonic jet flow. In: 5th flow control conference (4416)

  • George WK, Beuther PD, Arndt RE (1984) Pressure spectra in turbulent free shear flows. J Fluid Mech 148:155–191

    Article  MATH  Google Scholar 

  • Glauser M, George W (1987) An orthogonal decomposition of the axisymmetric jet mixing layer utilizing cross-wire velocity measurements. In: Proceedings sixth symposium on turbulent shear flows, Toulouse, pp 10.1.1–10.1.6

  • Glauser M, George W (1987) Orthogonal decomposition of the axisymmetric jet mixing layer including azimuthal dependence. In: Comte-Bellot G, Mathieu J (eds) Advances in Turbulence. Springer, Berlin, pp 357–366

    Chapter  Google Scholar 

  • Glauser M, Leib S, George W (1987) Coherent structures in the axisymmetric turbulent jet mixing layer. Turbulent Shear Flows 5, Springer, Berlin, pp 134–145

  • Glauser MN (1987) Coherent structures in the axisymmetric turbulent jet mixing layer. Ph.D. dissertation, Syracuse University

  • Glauser MN, Eaton E, Taylor J, Cole D, UL, Citriniti J, George WK, Stokes S (1999) Low-dimensional descriptions of turbulent flows: experiment and modeling. In: 30th AIAA fluid dynamics conference (3699), 1–15

  • Glezer A, Amitay M (2002) Synthetic jets. Annu Rev Fluid Mech 34:503–529

    Google Scholar 

  • Hak GE (1999) Overview of turbulence control research in USA. In: Proceedings of the 1st symposium on smart control of turbulence, Tokyo, Japan, pp 1–19

  • Hall AM, Glauser MN (2009) An experimental analysis of the modal characteristics intrinsic to both the heated and cold jet. In: 47th AIAA aerospace sciences meeting and exhibit, Orlando, FL (2009-1238), pp 1–11

  • Hall J, Hall A, Pinier J, Glauser M (2006) The relationship between the near field pressure and the far field pressure in a mach 0.85 jet. ASME Forum on High Speed Jet Flows XI (FEDSM2006-98458)

  • Hall J, Pinier J, Hall AM, Glauser MN (2009) Cross-spectral analysis of the pressure in a mach 0.85 turbulent jet. AIAA J 47(1):54–59

    Google Scholar 

  • Hall J, Pinier J, Hall A, Glauser M (2007) A spatio-temporal decomposition of the acoustic source in a mach 0.85 jet. In: 45th AIAA aerospace sciences meeting and exhibit (2007-442)

  • Henderson B, Kinzie K, Whitmire J, Abeysinghe A (2005) The impact of fluidic chevrons on jet noise. In: 11th AIAA/CEAS aeroacoustics conference (2888)

  • Henderson B, Kinzie K, Whitmire J, Abeysinghe A (2006) Aeroacoustic improvements to fluidic chevron nozzles. In: 12th AIAA/CEAS aeroacoustics conference (27th AIAA aeroacoustics conference) (2706)

  • Henderson BS, Norum TD (2009) Impact of azimuthally controlled fluidic chevrons on jet noise. AIAA 092407:1–13

    Google Scholar 

  • Iqbal MO, Thomas FO (2007) Coherent structure in a turbulent jet via a vector implementation of the proper orthogonal decomposition. J Fluid Mech 571:281–326

    Article  MATH  Google Scholar 

  • Krothapalli A, Venkatakrishnan L, Lourenco L, Greska R, Elavarasan R (2003) Turbulence and noise suppression of a high-speed jet by water injection. J Fluid Mech 491:131–159

    Article  MATH  Google Scholar 

  • Laurendeau E, Bonnet JP, Jordan P, Delville J (2006) Impact of fluidic chevrons on the turbulence structure of a subsonic jet. In: 3rd AIAA flow control conference (3510)

  • Laurendeau E, Jordan P, Bonnet JP, Delville J (2005) Turbulent jet noise control by fluid chevrons. Turbulence and Shear Flow Phenomena IV

  • Laurendeau E, Jordan P, Bonnet JP, Delville J, Parnaudeau P, Lamballais E (2008) Subsonic jet noise reduction by fluidic control: the interaction region and the global effect. Phys Fluids 20(101519):1–15

    Google Scholar 

  • Low KR, El-Hadidi B, Glauser MN, Andino MY, Berdanier R (2010) Investigation of different active flow control strategies for high speed jets using synthetic jet actuators. In: 40th fluid dynamics conference and exhibit (4267)

  • Lumley JL (1967) The structure of inhomogeneous turbulent flows, in atm. turb. and radio wave prop. In: Yaglom AM, Tatarsky VI (eds) Nauka, Moscow, pp 166–178

  • Mattingly J, von Ohain H (2006) Elements of propulsion: gas turbines and rockets (AIAA Education)

  • Melling A (2007) Tracer particles and seeding for particle image velocimetry. Meas Sci Technol 8:1406–1416

    Google Scholar 

  • Mengle VG (2005) Jet noise characteristics of chevrons in internally mixed nozzles. In: 11th AIAA/CEAS aeroacoustics conference (2934)

  • Mengle VG, Elkoby R, Brusniak L, Thomas RH (2006) Reducing propulsion airframe aeroacoustic interactions with uniquely tailored chevrons: 1. isolated nozzles. In: 12th AIAA/CEAS aeroacoustics conference (2467)

  • Michalke A, Fuchs HV (1975) On turbulence and noise of an axisymmetric shear flow. J Fluid Mech 70(01):179–205

    Article  MATH  Google Scholar 

  • Mollo-Christensen E, Kolpin MA, Martuccelli JR (1964) Experiments on jet flows and jet noise far-field spectra and directivity patterns. J Fluid Mech 18(285):285–301

    Article  Google Scholar 

  • Muller MO, Bernal LP, Miska PK, Washabaugh PD, Chou TKA, Parviz BA, Zhang C, Najafi K (2001) Flow structure and performance of axisymmetric synthetic jets. In: AIAA 39th aerospace sciences meeting and exhibit (1008)

  • Murray NE, Ukeiley L (2007) “Modified quadratic stochastic estimation of resonating subsonic cavity flow.” J Turbul 7(53):1–29

    Google Scholar 

  • Otnes RK, Enochson L (1978) Applied time series analysis, Wiley, New York

  • Pinier JT (2007) Low-dimensional techniques for active control of high- speed jet aeroacoustics. Ph.D. dissertation, Syracuse University

  • Pinier JT, Ausseur JM, Glauser MN, Higuchi H (2007) Proportional closed-loop feedback control of flow separation. AIAA J 45(01):181–190

    Article  Google Scholar 

  • Saiyed NH, Mikkelsen KL, Bridges JE (2000) Acoustics and thrust of separate-flow exhaust nozzles with mixing devices for high-bypass ratio engines. In: AIAA/CEAS, aeroacoustics conference and exhibit, 6th (21st AIAA aeroacoustics conference) (1961)

  • Samimy M, Adamovich I, Webb B, Kastner J, Hileman J, Keshav S, Palm P (2004) Development and characterization of plasma actuators for high speed jet control. Exp Fluids 37(04):577–588

    Article  Google Scholar 

  • Samimy M, Kim JH, Adamovich I, Utkin Y, Keshav S (2005) High speed jet control using plasma actuators. In: 4th International symposium on turbulence and shear flow phenomena

  • Samimy M, Kim JH, Adamovich I, Utkin Y, Kastner J (2006) Active control of high speed and high reynolds number free jet using plasma actuators. In: 44th AIAA aerospace sciences meeting and exhibit (0711)

  • Samimy M, Kim J, Kastner J, Adamovich I, Utkin Y (2007) Active control of a mach 0.9 jet for noise mitigation using plasma actuators. AIAA J 45(4):890–901

    Google Scholar 

  • Samimy M, Kim JH, Fischer MK, Sinha A (2010) Acoustic and flow fields of an excited high reynolds number axisymmetric supersonic jet. J Fluid Mech 656:507–529

    Article  MATH  Google Scholar 

  • Samimy M, Fischer MK, Kim JH, Sinha A (2011) High speed and high reynolds number jet control using arc filament plasma actuators for noise mitigation and for flow and noise diagnostics. In: 49th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition (0022)

  • Seiner JM (1998) A new rational approach to jet noise reduction. Theor Comput Fluid Dyn 10(1–4):373–383

    Article  MATH  Google Scholar 

  • Sinha A, Kim K, Kim J-H, Serrani A, Samimy M (2010) Extremizing feedback control of a high–speed and high reynolds number jet. AIAA J. 48(2):387–399

    Google Scholar 

  • Sinha A, Serrani A, Samimy M (2010) Development of empirical estimators for feedback control of axisymmetric jets. AIAA 2010-4419

  • Smith BL, Glezer A (1997) Vectoring and small-scale motions effected in free shear flows using synthetic jet actuators. In: AIAA 35th aerospace sciences meeting (97-213)

  • Smith BL, Glezer A (1998) The formation and evolution of synthetic jets. Phys Fluids 10:2281–2297

    Article  MathSciNet  MATH  Google Scholar 

  • Tam CKW, Chen P (1994) Turbulent mixing noise from supersonic jets. AIAA J 32:1774–1780

    Article  MATH  Google Scholar 

  • Taylor J (2001) Dynamics of large scale structures in turbulent shear layers. Ph.D. dissertation, Clarkson University, pp 22–93

  • Taylor J, Glauser M (2001) Application of low-dimensional tools to incipiently separated flows (abstract). In: Proceedings of the turbulent years: John Lumley at 70

  • Taylor JA, Glauser MN (2002) Towards practical flow sensing and control via pod and lse based low-dimensional tools. ASME Fluids Eng Div 257(02):1195–1204

    Google Scholar 

  • Tennekes H, Lumley JL (1972) A first course in turbulence. MIT Press, Cambridge, MA

    Google Scholar 

  • Tinney CE (2005) Low-dimensional techniques for sound source identification in high speed jets. Ph.D. dissertation, Syracuse University

  • Tinney CE, Hall AM, Glauser MN, Ukeiley LS, Coughlin T (2004) Designing an anechoic chamber for the experimental study of high speed heated jets. In: 42nd AIAA aerospace sciences meeting and exhibit (0010)

  • Tinney CE, Jordan P (2008) The near pressure field of co-axial subsonic jets. J Fluid Mech 611:175–204

    Article  MATH  Google Scholar 

  • Tinney CE, Ukeiley LS, Glauser MN (2008) Low-dimensional characteristics of a transonic jet. Part 2. estimate and far-field prediction. J Fluid Mech 615:53–92

    Article  MATH  Google Scholar 

  • Ukeiley LS, Tinney CE, Mann R, Glauser MN (2007) Spatial correlations in a transonic jet. AIAA J 45(6):1357–1369

    Article  Google Scholar 

  • Vaithianathan T, Carlson H, Wallace RD, Shea P, Glauser MN (2010) Feedback flow control for a pitching turret (part 1). In: 48th AIAA aerospace sciences meeting (0360)

  • Wallace RD, Andino MY, Glauser M, Camphouse RC, Schmit R, Myatt J (2008) Flow and aero-optics around a turret. Part 2: surface pressure based closed-loop control. In: 39th AIAA plasmadynamics and lasers conference (4217)

  • Wallace RD, Shea P, Glauser MN, Vaithianathan T, Carlson H (2010) Closed-loop flow control for an articulating turret. In: 5th Flow control conference (4966)

  • Wallace RD, Shea P, Glauser MN, Vaithianathan T, Carlson H (2010) Feedback flow control for a pitching turret (part 2). In: 48th AIAA aerospace sciences meeting (0361)

  • Wallace RD, Shea P, Glauser MN, Vaithianathan T, Carlson H, Schmit R (2011) Suction flow control at high reynolds number. In: 41st AIAA fluid dynamics conference and exhibit (3716)

  • Wang G, Walczak J, Elhadidi B, Glauser M, Higuchi H (2011) Preliminary investigation of the active flow control benefits on wind turbine blades. In: 6th AIAA theoretical fluid mechanics conference (3611)

  • Winant CD, Browand FK (1974) Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate reynolds number. J Fluid Mech 63:237–255

    Article  Google Scholar 

  • Zoppellari E, Juve D (1997) Reductions of jet noise by water injection. In: AIAA/CEAS 3rd aeroacoustics conference, proceedings (A97-26698 06-71) (1622)

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Acknowledgments

The authors would like to acknowledge: AFOSR grant in conjunction with Clarkson University (FA9550-09-1-0051), John Schmisseur, program manager; Syracuse University STEM fellowship and the CNY-AGEP program; undergraduate Matthew Berry for his help with running the experiments; Christopher Ruscher, who helped with data analysis by means of an advanced custom processing code; and Spectral Energies, LLC. Phase 1 SBIR, with AFRL, Dr. Barry V. Kiel as project monitor.

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Authors and Affiliations

  1. Syracuse University, Syracuse, NY, 13244, USA

    Kerwin R. Low, Zachary P. Berger & Mark N. Glauser

  2. Spectral Energies, LLC, Dayton, OH, 45431, USA

    Stanislav Kostka & Sivaram Gogineni

  3. Cairo University, Giza, Egypt

    Basman ElHadidi

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  1. Kerwin R. Low
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  2. Zachary P. Berger
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  3. Stanislav Kostka
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  4. Basman ElHadidi
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  5. Sivaram Gogineni
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  6. Mark N. Glauser
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Correspondence to Kerwin R. Low.

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This article is part of the collection Topics in Flow Control. Guest Editors J. P. Bonnet and L. Cattafesta.

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Low, K.R., Berger, Z.P., Kostka, S. et al. A low-dimensional approach to closed-loop control of a Mach 0.6 jet. Exp Fluids 54, 1484 (2013). https://doi.org/10.1007/s00348-013-1484-8

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