- Selected Final Results -

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PROBAND: Improvement of Fan Broadband Noise Prediction: Experimental investigation and computational modelling - Selected Final Results - Lars Enghardt, DLR Berlin Project Coordinator 1

EU FP6, Call 2, STREP PROBAND Consortium: DLR - Deutsches Zentrum für Luft und Raumfahrt (DE) RR - Rolls-Royce plc (UK) SnM - Snecma Moteurs (FR) ECL - Ecole Centrale de Lyon (FR) Flu - Fluorem SAS (FR) ONERA - Office National d Études et Recherches Aérospatiales (FR) UPMC - Université Pierre et Marie Curie (FR) ISVR - Institute of Sound and Vibration Research (UK) UCAM - University of Cambridge (UK) TUB - Technische Universität Berlin (DE) VKI - Von Karman Institute (BE) UR3 - Università Roma Tre (IT) KTH - Kungliga Tekniska Högskolan (SW) NLR - Nationaal Lucht- en Ruimtevaart Laboratorium (NL) ACAT - Anecom Aerotest (DE) Budget: 5 M Project start: 1. April 2005 Duration: 3,75 years 2

Motivation: Broadband Fan Noise Sources Rotor boundary layer interaction noise OGV self noise Rotor self noise OGV interaction noise Interaction mechanism between The blade-tip of the rotor fan and the turbulent boundary layer on the inlet-duct (rotor boundary layer interaction noise) Turbulent eddies convected in the rotor boundary layer and the rotor trailing edge (rotor self noise) The rotor wake and the downstream outlet guide vanes (OGV interaction noise) Turbulent eddies convected in the vane boundary layer and the vane trailing edge (OGV self noise) 3

Project Structure WP1: Co-ordination, specifications WP2: Single source studies and model development WP3: Laboratory scale fan rig test : Development of novel measurement and CFD prediction techniques WP4: Industrial Fan-OGV noise: Methods Validation and Demonstration WP2 WP1: Assessment, exploitation 4

WP2: Single source studies and model development Objective Develop and assess improved existing and future broadband noise prediction tools 5

Single Airfoil experiment (ECL) TE noise Tip/casing noise Measurements PIV, LDA, HWA Wall pressure Far field Combined measurements Features NACA5510: c =200 mm ; span: 200mm High lift: 5% camber and 15 o AoA Gap: h~ 10 mm= 5% c U 0 = 70 m/s (M~0.2; Re c ~9.3 10 5 ) Low turbulence inflow (0.7%) Incoming TBL: d~ 1.8h (99% thickness) Variations of parameters: U 0, AoA and h -C P 2 1.5 1 0.5 0-0.5-1 C p at mid span a = 5 a = 10 a = 15-1.5 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x/c 6

Single Airfoil experiment, unsteady pressure measurements (ECL) Implementation B& K low cost ICP -microphones Pressure tube HW probe Pin hole Gap 7

Single Airfoil experiment, PIV and HWA (ECL) Steady Flow in gap region : mid-gap section U 0 = 70 m/s ; a= 15 o ; h= 10 mm ; 8

Single Airfoil experiment, unsteady velocity/pressure spectra (ECL) Velocity spectra (HWA); gap=10 mm x/c=0.95 ; mid gap TIP flow Press. side PSD PSD (db - ref ref 4 10-10 10 Pa 2 ) Pa 2 ) Hump between 1 and 3 khz and global amplification above 500 Hz 120 115 110 105 100 95 90 85 80 75 70 pressure spectra x/c=0.95 ; 1.5 mm from tip AoA = 15 deg - U 0 = 70 m/s : spectra for probe: 29 10 3 frequency (Hz) Frequency (Hz) gap 0 gap 1 gap 2 gap 3 gap 5 gap 10 9

BBN modeling: TE noise model (ECL) Mechanism: Pressure perturbations are scattered as acoustic waves at the TE The far-field sound pressure PSD is related to the wall-pressure statistics closely upstream of the trailing-edge For a large aspect ratio airfoil, this relation comes down to Input from exp. and/or CFD Analytical response function Convection speed Wall-pressure spec. Spanwise coherence scale New: Wall pressure spectrum can be inferred from RANS computed TBL properties [Rozenberg et al (2008)] 10

BBN modeling: Application (ECL) Wall pressure spec. predicted from RANS TE model Exp. data: Far field 11

BBN modeling: Application (ECL) Wall pressure spec. predicted from RANS TE model today Exp. data: Far field tomorrow 12

Wavelet analysis of pressure fluctuations (UR3, ECL) Conditional statistics of pressure or velocity based on localized pressure events extracted using wavelet indicators Local Intermittency Measure: equivalent to a 2D representation of the Fourier auto-spectrum (Camussi et al., AIAA 2007-3685, Grilliat et al., AIAA 2008-2845 ) Cross-Wavelet: equivalent to a 2D representation of the Fourier cross-spectrum (Camussi et al., JFM 2008 ) 13

Averaged signatures (UR3, ECL) Averaged wall-pressure signatures Oscillations are due to the gap Event duration scales with U 0 1/2 Potential point-vortex model: pressure induced by co-rotating vortices today Events are originated at about 50-60% the chord length Results confirmed from the farfield pressure conditioning: noise source? Averaged PIV signatures 14

Averaged signatures (UR3, ECL) Averaged wall-pressure signatures Oscillations are due to the gap Event duration scales with U 0 1/2 Potential point-vortex model: pressure induced by co-rotating vortices Events are originated at about 50-60% the chord length Results confirmed from the farfield pressure conditioning: noise source? Averaged PIV signatures 15

CFD on Selfnoise (TUB) Simulation of boundary layer broadband noise with IDDES grid: 5.3 million cells 40 cells in span wise span wise extent 1cm (d/c = 0.05) LES like grid on suction side dx = 2*dz = 0.5 mm coarser grid on pressure side Vortex structures colored with velocity magnitude (λ 2 ), on slice: visualization of radiated sound (dp/dt) Grid slice 16

CFD on Selfnoise (TUB) Simulation of boundary layer broadband noise with IDDES Simulation shows fully attached resolved boundary layer RANS/LES blending inside turbulent boundary layer Interaction of turbulent boundary structures with TE generates broadband noise in the far field broadband noise directivity shows typical dipol directivity broadband noise directivity in db from 100 Hz to 30 khz Boundary layer analysis at x/c=0.25 red: u + - y + plot black: blending function RANS/LES (lines averaged, symbols - instanteneous) 17

CFD on Selfnoise (TUB) Simulation of boundary layer broadband noise with IDDES Simulation shows fully attached resolved boundary layer RANS/LES blending inside turbulent boundary layer Interaction of turbulent boundary structures with TE generates broadband noise in the far field broadband noise directivity shows typical dipol directivity broadband noise directivity in db from 100 Hz to 30 khz today Boundary layer analysis at x/c=0.25 red: u + - y + plot black: blending function RANS/LES (lines averaged, symbols - instanteneous) 18

LES of a Fan-Tip with gap: characteristics (FLU) NACA 5510 : 200 mm chord & height Single airfoil configuration with gap, representative of an engine fan-tip / turbulent boundary layer interaction, generator of broadband noise 3D N.S. compressible simulation realized at Fluorem with Turb'Flow 70 m/s 10 mm gap 3 000 000 grid nodes Multiblock structured finite volume Jameson centered spatial scheme 4 th order Explicit 3 steps Runge Kutta of Wray time marching, t = 2 10-9 s LES filtered structure function turbulence model (following Ducros, Comte and Lesieur) Computations realized on 16 CPU cores (AMD Opteron @2400 Mhz) 19

LES of a Fan-Tip with gap: aerodynamics (FLU) A fully unsteady configuration Time-averaging of aerodynamic fields Large tip-vortex flow interaction with incoming boundary layer + TE vortex shedding: associated to broadband noise sources Velocity profiles : Mean and...... fluctuations (e.g. Ptgap15) Flow structure : The tip vortex flow 20

LES of a Fan-Tip with gap: acoustics (FLU) Listener Surface 0 Surface 1 Ffowcs Williams and Hawkings (FWH) acoustic analogy associated with a retarded time formulation FWH pressure surfaces time series, recorded during LES computation Observers placed on a 2D circle Example : Surface 2 Surface 3 Different integration surfaces 21

WP3: Laboratory scale fan rig test : Development of novel measurement and CFD prediction techniques Objectives provide a parametric study on broadband noise sources in a laboratory-scale fan rig develop advanced measurement techniques on this fan rig evaluate the predictions of the broadband noise of the laboratory fan rig using the RANS/semi-analytic methods and validated LES/DES models 22

Setup of laboratory scale experiment (DLR) Low speed scale fan rig (DLR Berlin) D = 0.5 m M tip = 0.22 Re = 220 000 24-blade rotor 16-vane stator 23

Setup of laboratory scale experiment (DLR) Rotor shaft extension to increase rotor-stator gap Grid for increased inflow turbulence 32-vane stator 24

Setup of laboratory scale experiment (DLR) wall static pressure sensors wall flush mounted microphones +1 ref. microphone X hot-wire probes rotor & stator pressure sensors microphone rakes + 1 ref. microphone inlet pressure side throttle 24-blade rotor inter-stage section - performance measurements - hot-wire velocity measurements - acoustic measurements - blade unsteady pressure measurements 16/32-vane stator Anechoic termination 25

Experimental result: Effect of fan speed (DLR) Effects on acoustic spectra: Max. levels near Blade Passing Frequency Nearly constant decay Increasing levels with increasing speed PSD [db/eo] 70 65 60 55 50 45 outlet duct 100% speed 85% speed 75% speed 65% speed 50% speed 40 35 95 Total broadband power vs fan speed 30 0 10 20 30 40 50 60 70 80 90 100 110 120 130 engine order 90 PWL [db] 85 80 75 1,65 1,70 1,75 1,80 1,85 1,90 1,95 2,00 2,05 log( fan speed [%] ) measured power fit P U 5.2 BBN tip 26

Experimental result: Effect of fan speed (DLR) Effects on acoustic spectra: Max. levels near Blade Passing Frequency Nearly constant decay Increasing levels with increasing speed PSD [db/eo] 70 65 60 55 50 45 40 outlet duct 100% speed 85% speed 75% speed 65% speed 50% speed 95 90 Total broadband power vs fan speed 35 30 0 10 20 30 40 50 60 70 80 90 100 110 120 130 engine order tomorrow PWL [db] 85 80 75 1,65 1,70 1,75 1,80 1,85 1,90 1,95 2,00 2,05 log( fan speed [%] ) measured power fit P U 5.2 BBN tip 27

RANS Calculations for DLR Low Speed Fan (RR) RANS study of effect of including upstream centrebody as part of the CFD mesh Centrebody added upstream of rotor blade 28

RANS Calculations for DLR Low Speed Fan (RR) Axial Velocity at plane X2, Downstream of Rotor Original k-ω/sst k-ω/sst with Centrebody 29

RANS Calculations for DLR Low Speed Fan (RR) Turbulence Energy at plane X2, Downstream of Rotor Original k-ω/sst Experiment k-ω/sst with Centrebody 30

(Semi)analytical modelling (ISVR) Upstream PWL Downstream PWL The broadband noise model was fed with Tu-levels from the experiments and with the outcome of a RANS calculation. 31

(Semi)analytical modelling (ISVR) today Upstream PWL Downstream PWL The broadband noise model was fed with Tu-levels from the experiments and with the outcome of a RANS calculation. 32

LES computations (DLR) Domain: Resolves 1 rotor passage and 1 stator passage Upper and lower boundaries directly connected (flow assumed periodic) Extends 1 rotor chordlength upstream/downstream of stage Multi-block structure of the LES mesh Mesh: 100x10 6 cells over 1100 blocks Span resolved with 600 cells Tip resolved with 45 cells Low-Reynolds 33

LES computations (DLR) Computed turbulent flow structures Stator trailing edge Rotor tip vortex Rotor trailing edge Stator leading edge Rotor wake region Rotor leading edge Iso-surfaces of the axial component of vorticity in rotor system. Successive rotor wakes Iso-surfaces of the axial component of vorticity in stator system. 34

LES computations (ONERA) Rotor-stator interaction Close view of blade-vane interaction Iso-surface of Q colored by entropy 35

LES computations (ONERA) Input: LES data on OGV Far-field acoustic radiation 60 55 50 45 40 35 30 25 20 15 10 5 0 0 15 30 45 60 75 90 Radiation Angle (deg) SPL (db/hz, re. 20 µpa) 0 1 2 3 4 5 6 7 8 9 Frequency (khz) 10 36

LES computations (ONERA) PWL (db/hz, re. 1 pw) 75 70 65 60 55 50 45 40 PSD of in-duct sound power 0 2000 4000 6000 8000 10000 Frequency (Hz) Broadband (test) Mean spectrum Analytic spectrum Coherent sources 37

LES computations (ONERA) PWL (db/hz, re. 1 pw) 75 70 65 60 today 55 50 45 40 PSD of in-duct sound power 0 2000 4000 6000 8000 10000 Frequency (Hz) Broadband (test) Mean spectrum Analytic spectrum Coherent sources 38

WP4: Industrial Fan-OGV noise: Methods Validation and Demonstration Objective Validation and demonstration of the computational methods developed and assessed in WP2 and WP3 39

Setup of industrial fan experiment (ACAT, RR, VKI) 40

Pressure measurements on OGV (DLR) Pressure sensor arragement on stator vane surfaces 5 db Variation of total broadband surface autopower levels for five working lines 41

Induct Beamforming (NLR) intake array bypass array stator rotor 42

Induct Beamforming (NLR) intake array bypass array stator tomorrow rotor 43

Industrial Test Rig RANS result (RR) Turbulence Energy, k (m 2 /s 2 ) Fan Blade High Fan Speed (transonic flow) k-ω/sst RANS Wake data extracted on OGV leading edge plane Noise Models 44

Industrial Test Rig RANS result (RR) OGV Leading Edge Peak Turbulence Energy (m 2 /s 2 ) Fan Working Line Variation Hub Radius Casing 45

Industrial Test Rig RANS result (RR) OGV Leading Edge Peak Turbulence Energy (m 2 /s 2 ) Fan Working Line Variation today Hub Radius Casing 46

CFD of FAN-OGV-ESS: characteristics (FLU) Industrial test rig, including rotating fan and two stator vanes (bypass and core ducts) Number of blades: FAN=20, OGV=44 modelled by a 1:2 ratio 3D N.S. compressible simulation realized at Fluorem with Turb'Flow : High fan speed (transonic flow) 6 500 000 grid nodes, Multiblock structured finite volume Upwind spatial scheme 3 rd order with limiters (because flow field with shocks) Explicit 5 steps Runge Kutta time marching with 1 500 000 t per 360 rotation Rotor-stator interactions modeled by a sliding mesh technique using DFT Hybrid RANS-Wilcox / LES-WALE (Wall Adapting Large Eddy following Nicoud and Ducros, Flow turbulence and combustion 62:183-200, 1999) Computations realized on 24 CPU cores (AMD Opteron @2400 Mhz) 47

CFD of FAN-OGV-ESS: Mean meridian flow (FLU) Sample hyb. RANS-LES results : Azimuthal and temporal averages of aerodynamic fields Locations of experimental measurement sections in the x-r meridian mesh Meridian mean total velocities 48

CFD of FAN-OGV-ESS: Acoustics (FLU) Instantaneous velocity divergence Next steps : Characterization of near field acoustic sources Far field noise propagation Wake visualizations (entropy) Pressure and Velocity spectra at the stator inlet 49

Summary: Final results PROBAND enables improved physical understanding of the source mechanisms of self noise, interaction noise, and tip clearance noise. The fundamental experiments provide, in conjunction with advanced CFD, a deeper insight into the flow physics in the source regions. PROBAND has developed new tools allowing large scale advanced CFD, and validated them in a realistic experimental environment. PROBAND delivers an improved prediction capability for broadband noise that will be exploited by the European engine industry to develop low broadband noise fan concepts. 50