Study of wake vortex roll up spiral geometry based on real conditions airport Doppler Radar Trials

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International Workshop on fundamental Issues Related to Aircraft Trailing Wakes, Marseille, May 2008 Study of wake vortex roll up spiral geometry based on real conditions airport Doppler Radar Trials F. Barbaresco, J.P. Wasselin, A. Jeantet & U. Meier

CLEAR AIR RADAR REFLECTIVITY OF WAKE VORTEX USA : During 90 s different Radar trials have been made in US for wake vortex monitoring in clear Air with positive results for different bands. Wake Vortex Reflectivity was flat as a function of frequency DX04 S-band radar AN/MPS-39 C-band radar 2 EUROPE : UK, GEC-MARCONI (1992) : detection at Range R = 2.8 Km with an S-band Radar (3 GHz) (DX 04 Radar Campaign) France, CNRS/CRPE (1992): detection at Range R = 0.5 Km with an UHF-band Radar (961 MHz) (PROUST Radar campaign) Proust UHF Band Radar

3 CLEAR AIR RADAR REFLECTIVITY OF WAKE VORTEX Tests have revealed radar echoes in clear air. Two mechanisms causing refractive index gradients are : Radial Pressure (and therefore density) gradient in a columnar vortex arising from the rotational flow : 6 Pa Pv 5 Pv (n 1). 10 = 77. 6 + 64. 8 + 3. 77610. 2 T T T n : refractive index of humid air for frequencies below 20 GHz with Pa : the partial pressure (mb) of dry air ; Pv : the partial pressure (mb) of water vapour T : the temperature (K), T = 288K Adiabatic transport of atmospheric fluid within a descending oval surrounding a vortex pair : [ n(z) ~ n(z) ]. with Particulates were not involved (not f 4 Rayleigh scattering). The frequency dependence was not the Kolmogorov f 1/3 The role of Engine Exhaust : 2 6 6 ρ(z)n RH(z)P sat(tz ) 3. 4910. 10 = Δz 223 + 76. 7 + g P(z) T(z) N : Brünt-Väisälä Frequency (stratification parameter) -1 1-1 at Sea Level : N = 0. 014s (in Summer) N = 0. 02s -0. 03s (in W int er) Δz : Descend Altitude, and P = Pa + Pv RCS doesn t change when the engine run at idle or full power Exhaust diameter yields a partial pressure of vapour and a contribution which is much smaller than that due to temperature.

Operating Modes (Staring/Scanning 45 ) & Weather Rain Minimum Temperature Maximum Temperature Rain Rate Wind Speed Wind Direction 9 12 1.19 mm 20 km/h South- East Staring Mode No Rain Minimum Temperature 8 Maximum Temperature 14 Rain Rate 0 mm Wind Speed 22 km/h Wind Direction : South 4 Scanning Mode (8 /s on 45 )

Horizontal Monitoring of Wake Vortex (runways) 5

Wake Vortex Detection in Clear Air at 7 Km 7000 m Line of sight Recording conditions 29 th November '06 scanning mode scan angle 45 scan rate 8 /s long transmit pulse distance up to 7 km without rain 45 Wind 6

DOPPLER RADAR SIGNATURE OF WAKE VORTEX IN STARING MODE Wake Vortex Radar Signature Without Rain Wake Vortex Radar Signature With Rain RCS of Medium Aircraft Wake Vortex : 0.01 m 2 S/N 15 db (Range = 600 m) 7 All Wake Vortices (600 m from Radar) of Medium Aircrafts (Airbus A320, ) have been detected In Wet and Dry Weather Conditions

WAKE VORTEX PROFILING : WAKE VORTEX AGE Positive Time/Doppler slopes Zero Time/Doppler slopes 8 Low speed Negative Time/Doppler slopes Negative Time/Doppler slopes

WAKE VORTEX PROFILING : RADAR DOPPLER ANALYSIS Spiral Geometry Tangential Speed Versus Radius 0 m/s +/- 26 m/s Cross-Wind Speed Speed Variance of Rain can measure EDR & TKE (air turbulence) 0 m/s 9 r = bθ dr 1 δ V ae = br b = + r log 1 dθ 2π V Time (s)

WAKE VORTEX CIRCULATION (WV strength) Doppler Spectrum on 256 Pulses Module in db Spectrum Module S(Vi) is decreasing like1/(v i ) 3 S 2 Γ 8π. Vi ( Vi ) = 3 V max Is related to r c V max = Γ 2π. r c Radial Speed (m/s) Doppler Spectrum Behaviour Compliant with Theory 10

Wake Vortex Circulation Computation Γ = k 3.2 nd moment [ S(V ) ] 2 / 3 i Wake Vortex Doppler Frequencies Extraction (Pre-Processing : CFAR on Doppler axis) Γ 2 V V max min V V V [ S( V )] max [ S( V ) ] i min 2 i i 2/3 2/3 dv dv i i 11

Limours Radar Trials : September 2007 http://www.aviation-civile.gouv.fr/html/actu_gd/enviro/d2.html 12

Vertical Monitoring of Wake Vortex (ILS Interception) ILS Interception FinalApproach Fix (FAF) ILS GlideSlope Runway 3000 m / 60 m (typically) Threshold ORLY 100 80 Spectrogram Wake Vortex db -30-32 Scan 1 60-34 40-36 20-38 0-40 -20-42 -40-44 -60-80 -46-48 Scan 2-100 232 233 234 235 236 237 238 239-50 Time / s test.dat Detection by HR Doppler Entropy Scan 3 13

Wake Vortex Time Evolution : HR Doppler Entropy 14

Thales Radar Trials Synthesis Paris ORLY AIRPORT Campaign has proved that X- band Thales BOR-A550 Radar can : Detect Wake Vortex (RCS of 0.01 m 2 on medium aircraft) : In all weather conditions (wet & dry at short range < 2 Km) In Staring & Scanning Mode In real Time Localize Wake Vortex in range/angle Characterize Wake Vortex Geometry (Spiral) Age (Young, mature, old, decaying) Strength : Circulation (m 2 /s) Characterize ambient air (in Rain Conditions) Wind (based on Doppler & post-processing) Ambient Air Turbulence (EDR & TKE) Medium Aircraft Wake Vortex RCS 0.01 m 2 (e.g. : Airbus A320) X-BAND BOR-A550 RADAR IS AVAILABLE & CAN BE DEPLOYED, AS SOON AS 2008, ON LARGE EUROPEAN AIRPORTS (Paris CDG, London Heathrow, Francfort, ) 15

Paris CDG Airport : Radar/Lidar Positioning (June 2008) Eurocontrol LIDAR Thales Radar EUROCONTROL LIDAR Thales Radar Real-Time HMI (C/GTK) Horizontal scanning Crosswind Vortices may rise (vortex bounce) under windshear conditions Vertical scanning New tripod for Vertical scanning ½ Wingspan 16 31L 31R

Acknowledgements ADP Orly Radar Team Jean-Paul Lecorre Jean-Marc Receveau Daniel Duong Gilbert Herbulot DGAC/DSNA Radar Team André Simonetti Alfred Harter Direction des Aires Aéronautiques (ADP CDG) : Gérard Batistella Eurocontrol «Wake Vortex» Team : Andrew Harvey Antoine Vidal (visit during Orly 2006 Radar Trials) Vincent Treve (visit during Orly 2007 Radar Trials) Jean-Pierre Nicolaon (visit during Orly 2007 Radar Trials) 17

Boeing B747-8 Airbus A380 1 rst WAKENET3-Europe Workshop (funded by FP7), Paris 8 & 9 January 2009, THALES UNIVERSITY THALES AIR SYSTEMS is member of «WAKENET3 Europe» (Experts Group) & member of SESAR