SlideShare a Scribd company logo
1 of 29
AMPLIFICATION OF THE FORCE
        AND THE TONAL NOISE
IN TRANSONIC HIGH-PRESSURE TURBINES
           Stefano Bianchi1, Alessandro Corsini1, Guillermo Paniagua 2
 1   Department of Mechanical and Aerospace Engineering, Sapienza – University of Rome, Roma, Italy,
                                     bianchi@dma.ing.uniroma1.it
 2   Turbomachinery and Propulsion Department, von Karman Institute, Rhode Saint Genese, Belgium,
                                        paniagua@vki.ac.be




von Karman Institute
Introduction
    -  Current military tactical aircraft operate from bases
    close to communities. Naval tactical aircraft in
    particular are based close to appreciating waterfront
    real estate.

    -  Altering training flight operations to minimize noise
    impact is considered restrictive for aircrews and leads
    to flight training shortfalls, particularly for carrier-based
    pilots who need to “train-as-they-fight”.

    -  The Secretary of the US Navy, has estimated a total
    potential liability of $350 million should litigants prevail
    in lawsuits involving jet noise.


von Karman Institute
Introduction
- Launch crews, on aircraft carriers, are exposed to excessive
noise levels during takeoffs and landings leading to costly and
escalating hearing loss compensation programs.




                          Pictures Marine Nationale



 von Karman Institute
Introduction
-    Typically launch/recovery support
personnel can be exposed to brutal
acoustic loads of up to 150 dBA. Each
launch typically involves a 30 sec average
mil power exposure (occasionally full AB).

-    The carrier deck personnel may                     Picture US Navy

experience up to 200 launches/recoveries
per 12 hr duty shift.

          The goal of engines noise reduction is considered of
                           high importance.


     von Karman Institute
Outline
    -  Methodology
        - Tested HPT rotor and experimental apparatus

    -  Discussion of the experimental results.

    -  Sound prediction technique
        -  Rationale and background information
        -  Limits

    -  Discussion of the predicted rotor noise emission
         -  Mono and Dipolar sources
         -  Quadrupolar sources

    -  Concluding remarks

von Karman Institute
Turbine noise in Low bpr TF engines
                                        -  For high by pass ratio engines turbine
                                        noise account only during the Landing
                                        operation, as the TO thrust is exerted
                                        mainly by the fan.

                                        -  Low bpr engines are more senstive to
                                        turbine noise, even for TO operation.

      NASA report: FS-1999-07-003-GRC


- In low bpr engines turbine noise
is comparable with the rear
component of compressor noise:
directed roughly to the engine side.
                                                              Rolls-Royce, 2006



   von Karman Institute
Tested HPT rotor
                                    DS
                               re EA
                       Pictu




                                                        SNECMA




von Karman Institute
Generalities     Paniagua et al., 2008



Uncooled cylindrical vanes and uncooled rotor leaned blades
       P01/Ps3        Re2c   M2,is M3r,is
Low      2.42      1.06×106 1.07 0.65
Nom      3.86      1.07×106 1.24 0.97
High     5.12      1.07×106 1.24 1.18




3 pressure ratios investigated at 6500 RPM
   von Karman Institute
Experimental apparatus




von Karman Institute
Generalities                          Test facility

Similarity to engine conditions: Re, M, Tgas/Twall and Tgas/Tcooling ratios.
Transient operation: lower cost, heat transfer measurements




Absence of brake  turbine torque = Inertia×acceleration
Test section diameter 800 mm
Fixed and rotation measurements, with an opto-electronic transmission system

von Karman Institute
Generalities                  Test facility
                                                    Plane 1   Plane 3




Nearly constant conditions during 0.3s

Averaging region 40ms

P & T variation below 0.3%


von Karman Institute
ΔP [mbar]

                                         blade signature


                                         BPF =: 6.7 kHz

                                            1st harmonic




von Karman Institute
                                           2nd harmonic
                                                                         Frequency Analysis



                                                           P2




                       Frequency [kHz]
                                           3rd harmonic


                                            resonance




                                           ΔP [mbar]
                                                                                              Generalities




                                          vane signature

                                               VPF = 4.7 kHz
                                                 1st harmonic

                                                2nd harmonic
                                                                                                     Paniagua et al., 2008




                                         3rd harmonic

                                           4th harmonic
                       Frequency [kHz]
                                                                PROTOR
Analysis of Results    Paniagua et al., 2008



                                                                         S R
Rotor flow field




                 Mid-span                       P01/Ps3=3.86

   von Karman Institute
Analysis of Results                Paniagua et al., 2008




                                  Max Variation (gauge 3): 27 % of P01                 S R
Rotor flow field



           Low
                                    Nom                        High




         Vane trailing edge shock           0!



                                                                                     50%
   von Karman Institute
Analysis of Results
    Blade force
                                    Max. Variations
           Axial force               8.95% of mean level (Low P/P)
           Tangential force          12.6% of mean level (Nom P/P)




                                                  [kN/m]
[deg.]




                                                  Fax-disk
Angle




                       Blade Force                                   Disk Force
Fmodulus
[kN/m]




                                                      [kN/m]
                                                      Ftan-disk


           von Karman Institute
Sound prediction technique – FWH

Sound prediction technique based on Ffowcs William-Hawkings
                           equation


                                        Monopole


                                         Dipole


                                         Quadrupole



von Karman Institute
Sound prediction technique – FWH
                Farassat formulation of FWH integrals
                  for Monopole and Dipole sources

                                                   Thickness noise-Monopole




                                                 Near-field loading noise-Dipole




                                                  Far-field loading noise-Dipole




                                Farassat, 1975



von Karman Institute
Sound prediction technique
    -  Discussion of the predicted rotor noise emission
         -  Quadrupolar sources and collapsing sphere




                             Brentner and Farassat, 1995




                                          Ianniello, 1999




von Karman Institute
Sound prediction technique



         -  Limitations:

              -  quadrupolar sources

              -  duct modes

              -  Non-linearities




von Karman Institute
Acoustic model input
                                                       S R




-  Time resolved unsteady pressure fluctuation
-  Gauges @ 50% blade span
-  Calculated local Mach number on the gauge     50%




  von Karman Institute
Acoustic model input
                                                       Vane Phase [I]
                                                           0.89→1
0.89→1 Direct shock : Crown and LE SS

         0.25→0.5 No Shock                                              Vane Phase [III]
    0.7→0.77 Reflected vane shock : PS                                    0.7 → 0.77
                                         Vane Phase [II]
                                           0.25 →0.5




    -  Time resolved unsteady pressure fluctuation
    -  Gauges @ 50% blade span                                          50%
    -  Calculated total force on the gauge absolute value


        von Karman Institute
Sound prediction – dipolar sources only
Observer position at 30 m of distance in the rotor plane (Ianniello 1999)




                                Observer time [s]




                                  Observer time [s]




   von Karman Institute
Sound prediction – OSPL @dipole only

20 dB
                                  BPF

                                           2nd BPF

                                                                 3rd BPF
SPL [dB]




                                                     Frequency [kHz]

           von Karman Institute
Sound prediction – all sources



                               Observer time [s]




                               Observer time [s]




                               Observer time [s]




                               Observer time [s]



von Karman Institute
Sound prediction - OSPL

20 dB                                                                     3rd BPF



                                  BPF

                                                       2nd BPF

                                                                                    23.5
SPL [dB]




                                        9.40


                                               11.75
                2.35




                                                                 Frequency [kHz]

           von Karman Institute
vane pressure vs far-field noise spectral comparison


                                        P2
                                                                                                                                                         3rd
                                                                                                                                                         BPF
                                                                                                                              BPF
                                                1st harmonic


                                                               2nd harmonic
                                                                                                                                                   2nd




                                                                              3rd harmonic
            blade signature
ΔP [mbar]




                               BPF =: 6.7 kHz




                                                                                                         SPL [dB]
                                                                                                                                                   BPF




                                                                                             resonance
                                                                                                                                                               23.5




                                                                                                                                    9.40

                                                                                                                    2.35                   11.75




                                Frequency [kHz]                                                                                     Frequency [kHz]

            Rotor acoustic near-field                                                                                      Rotor acoustic far-field



            von Karman Institute
Predicted spectra composition




                                                            Farassat formulation + quadrupole
SPL [dB]




                                                            Farassat formulation only (dipole)




                                          Frequency [kHz]
                                                                             Rolls-Royce - 2006



           von Karman Institute
Sound prediction technique

-  Concluding remarks

   -  Measurements of unsteady pressure fluctuations were carried on a hpt stage,
      characteristic of the modern high loaded turbine rotor design.

   -  The experimental data-set was used as input for a basic FW-H rotor noise
      prediction model.

   -  The predicted tonal noise appears fairly consistent with the expected results,
      even if the lack of dedicated experimental noise measurement does not allow
      the authors to consider the prediction accurate.

   -  The quadrupole approximation used seems to saturate the predicted noise
      spectra and overpredict the SPL: questions arise form this behavior.



      von Karman Institute
AMPLIFICATION OF THE FORCE
        AND THE TONAL NOISE
IN TRANSONIC HIGH-PRESSURE TURBINES
           Stefano Bianchi1, Alessandro Corsini1, Guillermo Paniagua 2
 1   Department of Mechanical and Aerospace Engineering, Sapienza – University of Rome, Roma, Italy,
                                     bianchi@dma.ing.uniroma1.it
 2   Turbomachinery and Propulsion Department, von Karman Institute, Rhode Saint Genese, Belgium,
                                        paniagua@vki.ac.be




von Karman Institute

More Related Content

What's hot

The active remote sensing equation
The active remote sensing equationThe active remote sensing equation
The active remote sensing equationtobiasotto
 
Radar fundamentals
Radar fundamentalsRadar fundamentals
Radar fundamentalsHossam Zein
 
synthetic aperture radar
synthetic aperture radarsynthetic aperture radar
synthetic aperture radarAmit Rastogi
 
C13 NUCLEAR MAGNETIC RESONANCE
C13 NUCLEAR MAGNETIC RESONANCE C13 NUCLEAR MAGNETIC RESONANCE
C13 NUCLEAR MAGNETIC RESONANCE Sujitlal Bhakta
 
Chapter 2-radar equation
Chapter 2-radar equationChapter 2-radar equation
Chapter 2-radar equationRima Assaf
 
Fundamentals of Passive and Active Sonar Technical Training Short Course Sampler
Fundamentals of Passive and Active Sonar Technical Training Short Course SamplerFundamentals of Passive and Active Sonar Technical Training Short Course Sampler
Fundamentals of Passive and Active Sonar Technical Training Short Course SamplerJim Jenkins
 
A Tutorial on Radar System Engineering
A Tutorial on Radar System EngineeringA Tutorial on Radar System Engineering
A Tutorial on Radar System EngineeringTBSS Group
 
bettenhausen_igarss11_talk.pdf
bettenhausen_igarss11_talk.pdfbettenhausen_igarss11_talk.pdf
bettenhausen_igarss11_talk.pdfgrssieee
 
Filters and Tuned Amplifiers
Filters and Tuned AmplifiersFilters and Tuned Amplifiers
Filters and Tuned Amplifiersselarothitc
 
Antennas propagation
Antennas propagationAntennas propagation
Antennas propagationhrishi_tiwary
 
Moving target indicator radar (mti)part2
Moving target indicator radar (mti)part2Moving target indicator radar (mti)part2
Moving target indicator radar (mti)part2abdulrehmanali
 
On Chip Calibration And Compensation Techniques (11 03 08)
On Chip Calibration And Compensation Techniques (11 03 08)On Chip Calibration And Compensation Techniques (11 03 08)
On Chip Calibration And Compensation Techniques (11 03 08)imranbashir
 
AESA Airborne Radar Theory and Operations Technical Training Course Sampler
AESA Airborne Radar Theory and Operations Technical Training Course SamplerAESA Airborne Radar Theory and Operations Technical Training Course Sampler
AESA Airborne Radar Theory and Operations Technical Training Course SamplerJim Jenkins
 
MRI spin echo pulse sequences
MRI spin echo pulse sequencesMRI spin echo pulse sequences
MRI spin echo pulse sequencesShiva Prakash
 

What's hot (20)

The active remote sensing equation
The active remote sensing equationThe active remote sensing equation
The active remote sensing equation
 
Radar fundamentals
Radar fundamentalsRadar fundamentals
Radar fundamentals
 
3 (2)
3 (2)3 (2)
3 (2)
 
synthetic aperture radar
synthetic aperture radarsynthetic aperture radar
synthetic aperture radar
 
C13 NUCLEAR MAGNETIC RESONANCE
C13 NUCLEAR MAGNETIC RESONANCE C13 NUCLEAR MAGNETIC RESONANCE
C13 NUCLEAR MAGNETIC RESONANCE
 
Chapter 2-radar equation
Chapter 2-radar equationChapter 2-radar equation
Chapter 2-radar equation
 
Bani (2)
Bani (2)Bani (2)
Bani (2)
 
Fundamentals of Passive and Active Sonar Technical Training Short Course Sampler
Fundamentals of Passive and Active Sonar Technical Training Short Course SamplerFundamentals of Passive and Active Sonar Technical Training Short Course Sampler
Fundamentals of Passive and Active Sonar Technical Training Short Course Sampler
 
A Tutorial on Radar System Engineering
A Tutorial on Radar System EngineeringA Tutorial on Radar System Engineering
A Tutorial on Radar System Engineering
 
bettenhausen_igarss11_talk.pdf
bettenhausen_igarss11_talk.pdfbettenhausen_igarss11_talk.pdf
bettenhausen_igarss11_talk.pdf
 
Filters and Tuned Amplifiers
Filters and Tuned AmplifiersFilters and Tuned Amplifiers
Filters and Tuned Amplifiers
 
Antennas propagation
Antennas propagationAntennas propagation
Antennas propagation
 
Maala
MaalaMaala
Maala
 
Moving target indicator radar (mti)part2
Moving target indicator radar (mti)part2Moving target indicator radar (mti)part2
Moving target indicator radar (mti)part2
 
On Chip Calibration And Compensation Techniques (11 03 08)
On Chip Calibration And Compensation Techniques (11 03 08)On Chip Calibration And Compensation Techniques (11 03 08)
On Chip Calibration And Compensation Techniques (11 03 08)
 
Cauan
CauanCauan
Cauan
 
Cauan (2)
Cauan (2)Cauan (2)
Cauan (2)
 
3 (3)
3 (3)3 (3)
3 (3)
 
AESA Airborne Radar Theory and Operations Technical Training Course Sampler
AESA Airborne Radar Theory and Operations Technical Training Course SamplerAESA Airborne Radar Theory and Operations Technical Training Course Sampler
AESA Airborne Radar Theory and Operations Technical Training Course Sampler
 
MRI spin echo pulse sequences
MRI spin echo pulse sequencesMRI spin echo pulse sequences
MRI spin echo pulse sequences
 

Similar to Paper ETC9 089

Envelope analysis (tugas getaran mekanik kelas 1).pdf
Envelope analysis (tugas getaran mekanik kelas 1).pdfEnvelope analysis (tugas getaran mekanik kelas 1).pdf
Envelope analysis (tugas getaran mekanik kelas 1).pdfAfdhal Rizky
 
Atomic Force Microscope: Fundamental Principles
Atomic Force Microscope: Fundamental PrinciplesAtomic Force Microscope: Fundamental Principles
Atomic Force Microscope: Fundamental PrinciplesJoy Bhattacharjee
 
PRINCIPLES of FT-NMR & 13C NMR
PRINCIPLES of FT-NMR & 13C NMRPRINCIPLES of FT-NMR & 13C NMR
PRINCIPLES of FT-NMR & 13C NMRAditya Sharma
 
Carbon 13 NMR.pptx
Carbon 13 NMR.pptxCarbon 13 NMR.pptx
Carbon 13 NMR.pptx36GARHGAMING
 
ECCE2016_FSPM_LN_Chandan
ECCE2016_FSPM_LN_ChandanECCE2016_FSPM_LN_Chandan
ECCE2016_FSPM_LN_ChandanChandan Sikder
 

Similar to Paper ETC9 089 (11)

Envelope analysis (tugas getaran mekanik kelas 1).pdf
Envelope analysis (tugas getaran mekanik kelas 1).pdfEnvelope analysis (tugas getaran mekanik kelas 1).pdf
Envelope analysis (tugas getaran mekanik kelas 1).pdf
 
Atomic Force Microscope: Fundamental Principles
Atomic Force Microscope: Fundamental PrinciplesAtomic Force Microscope: Fundamental Principles
Atomic Force Microscope: Fundamental Principles
 
Raman scatttering
Raman scattteringRaman scatttering
Raman scatttering
 
GT2010-22753
GT2010-22753GT2010-22753
GT2010-22753
 
PRINCIPLES of FT-NMR & 13C NMR
PRINCIPLES of FT-NMR & 13C NMRPRINCIPLES of FT-NMR & 13C NMR
PRINCIPLES of FT-NMR & 13C NMR
 
Analysis.pptx
Analysis.pptxAnalysis.pptx
Analysis.pptx
 
Carbon 13 NMR.pptx
Carbon 13 NMR.pptxCarbon 13 NMR.pptx
Carbon 13 NMR.pptx
 
ECCE2016_FSPM_LN_Chandan
ECCE2016_FSPM_LN_ChandanECCE2016_FSPM_LN_Chandan
ECCE2016_FSPM_LN_Chandan
 
SMR_defence_sep3
SMR_defence_sep3SMR_defence_sep3
SMR_defence_sep3
 
FT NMR
FT NMRFT NMR
FT NMR
 
AIAA-2007-05-18
AIAA-2007-05-18AIAA-2007-05-18
AIAA-2007-05-18
 

Paper ETC9 089

  • 1. AMPLIFICATION OF THE FORCE AND THE TONAL NOISE IN TRANSONIC HIGH-PRESSURE TURBINES Stefano Bianchi1, Alessandro Corsini1, Guillermo Paniagua 2 1 Department of Mechanical and Aerospace Engineering, Sapienza – University of Rome, Roma, Italy, bianchi@dma.ing.uniroma1.it 2 Turbomachinery and Propulsion Department, von Karman Institute, Rhode Saint Genese, Belgium, paniagua@vki.ac.be von Karman Institute
  • 2. Introduction -  Current military tactical aircraft operate from bases close to communities. Naval tactical aircraft in particular are based close to appreciating waterfront real estate. -  Altering training flight operations to minimize noise impact is considered restrictive for aircrews and leads to flight training shortfalls, particularly for carrier-based pilots who need to “train-as-they-fight”. -  The Secretary of the US Navy, has estimated a total potential liability of $350 million should litigants prevail in lawsuits involving jet noise. von Karman Institute
  • 3. Introduction - Launch crews, on aircraft carriers, are exposed to excessive noise levels during takeoffs and landings leading to costly and escalating hearing loss compensation programs. Pictures Marine Nationale von Karman Institute
  • 4. Introduction -  Typically launch/recovery support personnel can be exposed to brutal acoustic loads of up to 150 dBA. Each launch typically involves a 30 sec average mil power exposure (occasionally full AB). -  The carrier deck personnel may Picture US Navy experience up to 200 launches/recoveries per 12 hr duty shift. The goal of engines noise reduction is considered of high importance. von Karman Institute
  • 5. Outline -  Methodology - Tested HPT rotor and experimental apparatus -  Discussion of the experimental results. -  Sound prediction technique -  Rationale and background information -  Limits -  Discussion of the predicted rotor noise emission -  Mono and Dipolar sources -  Quadrupolar sources -  Concluding remarks von Karman Institute
  • 6. Turbine noise in Low bpr TF engines -  For high by pass ratio engines turbine noise account only during the Landing operation, as the TO thrust is exerted mainly by the fan. -  Low bpr engines are more senstive to turbine noise, even for TO operation. NASA report: FS-1999-07-003-GRC - In low bpr engines turbine noise is comparable with the rear component of compressor noise: directed roughly to the engine side. Rolls-Royce, 2006 von Karman Institute
  • 7. Tested HPT rotor DS re EA Pictu SNECMA von Karman Institute
  • 8. Generalities Paniagua et al., 2008 Uncooled cylindrical vanes and uncooled rotor leaned blades P01/Ps3 Re2c M2,is M3r,is Low 2.42 1.06×106 1.07 0.65 Nom 3.86 1.07×106 1.24 0.97 High 5.12 1.07×106 1.24 1.18 3 pressure ratios investigated at 6500 RPM von Karman Institute
  • 10. Generalities Test facility Similarity to engine conditions: Re, M, Tgas/Twall and Tgas/Tcooling ratios. Transient operation: lower cost, heat transfer measurements Absence of brake  turbine torque = Inertia×acceleration Test section diameter 800 mm Fixed and rotation measurements, with an opto-electronic transmission system von Karman Institute
  • 11. Generalities Test facility Plane 1 Plane 3 Nearly constant conditions during 0.3s Averaging region 40ms P & T variation below 0.3% von Karman Institute
  • 12. ΔP [mbar] blade signature BPF =: 6.7 kHz 1st harmonic von Karman Institute 2nd harmonic Frequency Analysis P2 Frequency [kHz] 3rd harmonic resonance ΔP [mbar] Generalities vane signature VPF = 4.7 kHz 1st harmonic 2nd harmonic Paniagua et al., 2008 3rd harmonic 4th harmonic Frequency [kHz] PROTOR
  • 13. Analysis of Results Paniagua et al., 2008 S R Rotor flow field Mid-span P01/Ps3=3.86 von Karman Institute
  • 14. Analysis of Results Paniagua et al., 2008 Max Variation (gauge 3): 27 % of P01 S R Rotor flow field Low Nom High Vane trailing edge shock 0! 50% von Karman Institute
  • 15. Analysis of Results Blade force Max. Variations Axial force 8.95% of mean level (Low P/P) Tangential force 12.6% of mean level (Nom P/P) [kN/m] [deg.] Fax-disk Angle Blade Force Disk Force Fmodulus [kN/m] [kN/m] Ftan-disk von Karman Institute
  • 16. Sound prediction technique – FWH Sound prediction technique based on Ffowcs William-Hawkings equation Monopole Dipole Quadrupole von Karman Institute
  • 17. Sound prediction technique – FWH Farassat formulation of FWH integrals for Monopole and Dipole sources Thickness noise-Monopole Near-field loading noise-Dipole Far-field loading noise-Dipole Farassat, 1975 von Karman Institute
  • 18. Sound prediction technique -  Discussion of the predicted rotor noise emission -  Quadrupolar sources and collapsing sphere Brentner and Farassat, 1995 Ianniello, 1999 von Karman Institute
  • 19. Sound prediction technique -  Limitations: -  quadrupolar sources -  duct modes -  Non-linearities von Karman Institute
  • 20. Acoustic model input S R -  Time resolved unsteady pressure fluctuation -  Gauges @ 50% blade span -  Calculated local Mach number on the gauge 50% von Karman Institute
  • 21. Acoustic model input Vane Phase [I] 0.89→1 0.89→1 Direct shock : Crown and LE SS 0.25→0.5 No Shock Vane Phase [III] 0.7→0.77 Reflected vane shock : PS 0.7 → 0.77 Vane Phase [II] 0.25 →0.5 -  Time resolved unsteady pressure fluctuation -  Gauges @ 50% blade span 50% -  Calculated total force on the gauge absolute value von Karman Institute
  • 22. Sound prediction – dipolar sources only Observer position at 30 m of distance in the rotor plane (Ianniello 1999) Observer time [s] Observer time [s] von Karman Institute
  • 23. Sound prediction – OSPL @dipole only 20 dB BPF 2nd BPF 3rd BPF SPL [dB] Frequency [kHz] von Karman Institute
  • 24. Sound prediction – all sources Observer time [s] Observer time [s] Observer time [s] Observer time [s] von Karman Institute
  • 25. Sound prediction - OSPL 20 dB 3rd BPF BPF 2nd BPF 23.5 SPL [dB] 9.40 11.75 2.35 Frequency [kHz] von Karman Institute
  • 26. vane pressure vs far-field noise spectral comparison P2 3rd BPF BPF 1st harmonic 2nd harmonic 2nd 3rd harmonic blade signature ΔP [mbar] BPF =: 6.7 kHz SPL [dB] BPF resonance 23.5 9.40 2.35 11.75 Frequency [kHz] Frequency [kHz] Rotor acoustic near-field Rotor acoustic far-field von Karman Institute
  • 27. Predicted spectra composition Farassat formulation + quadrupole SPL [dB] Farassat formulation only (dipole) Frequency [kHz] Rolls-Royce - 2006 von Karman Institute
  • 28. Sound prediction technique -  Concluding remarks -  Measurements of unsteady pressure fluctuations were carried on a hpt stage, characteristic of the modern high loaded turbine rotor design. -  The experimental data-set was used as input for a basic FW-H rotor noise prediction model. -  The predicted tonal noise appears fairly consistent with the expected results, even if the lack of dedicated experimental noise measurement does not allow the authors to consider the prediction accurate. -  The quadrupole approximation used seems to saturate the predicted noise spectra and overpredict the SPL: questions arise form this behavior. von Karman Institute
  • 29. AMPLIFICATION OF THE FORCE AND THE TONAL NOISE IN TRANSONIC HIGH-PRESSURE TURBINES Stefano Bianchi1, Alessandro Corsini1, Guillermo Paniagua 2 1 Department of Mechanical and Aerospace Engineering, Sapienza – University of Rome, Roma, Italy, bianchi@dma.ing.uniroma1.it 2 Turbomachinery and Propulsion Department, von Karman Institute, Rhode Saint Genese, Belgium, paniagua@vki.ac.be von Karman Institute