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    Fahrzeug- undWindradaerod namik

    Dr.-Ing. A. Henze, Prof. Dr.-Ing. W. Schrder

    Institute of Aerodynamics, RWTH Aachen University

    Automobiles

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    Automobiles

    blunt bodies small ground distance complex geometries

    open cavities

    rotating weels internal channel flow

    three-dimensional flow turbulent boundary layers

    flow through the auto body flow inside of aggregates coupled external and internal flow flowfield in the engine

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    Command variables

    Tasks for automobile aerodynamics

    Photo: Daimler-Chrysler AG

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    Automobiles

    Coordinate system and definition

    Variety of shapes in automobile aerodynamics

    Usually Drag reduction fuel consumption maximum speed pollutant emission

    Lateral forces, yaw mamentum, lift

    directional stability behaviour in curves sensitivity against cross wind

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    Automobiles

    Visualization of the flowfield on a VW-Golf 1 Streamlines with smoke smoke in separated region

    Flowfield around Mercedes-Benz A-Modell Visualization with smoke computed simulation

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    Automobiles

    Flow around single elements sound creation at sharp edges

    open windows lighter doors, roofs, etc. flutter Cooling air inlet (position) air condition acoustic level in the cabin acoustic level in the surrounding raindrops, mud

    Simple shapes of automobiles

    racing cars

    low drag

    negative lift optimum for each racing track

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    Automobiles

    Design vs. aerodynamics

    Droplet, Rumpler 1921 2 profiles, Jaray 1921 Profile + Rotational body, Jaray 1933 2 horizontal profiles, Lange 1937

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    Automobiles

    slight entering without separation

    cut off the contour immediately beforethe flow separation smaller tail area pressure increase smaller air drag

    Kamm tail, 1938-1939

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    Automobiles

    Streamlined Opel GT, 1969, cw = 0.41, A = 1.51 m2

    Detail optimized VW Scirocco, 1974, cw = 0.41, A = 1.73 m2

    2 possibilities

    initial start from design, aerody-namic optimization contours gettingrounder and fluent, drag is decreased

    base body with low drag, changes fromdesigner contours getting stronger,drag increased

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    Automobiles

    Development of cw coefficient of european cars compared with low drag bodies

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    Automobiles

    Cw histogramm of european passenger cars, 2003

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    Driving performance

    fuel consumption maximum speed ability to accelerate

    Traction force between the wheels and the road surface

    W: Air drag forceR: Rolling drag focem: mass of the car

    V: velocityt: timeg: gravitational acceleration: slope of the road

    Power Plane road without acceleration

    Air drag Facing surface

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    Driving performance

    Drag coefficient and facing surface fordifferent types of automobiles

    Facing surface Aa) Different types of automobilesb) Typical values for passenger cars

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    Driving performance

    Rolling drag

    o ng rag coe c en o passenger car yre

    as a function of the velocity

    Air and rolling drag as a function of thevelocity for a BMW 520 iCw = 0.27, A = 2.18 m

    2, G = 1570 kg

    Air drag is dominantAt 200 km/h: air drag is 80 % of the total drag

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    Reduction of fuel consumption

    If the drag coefficient can be reduced from cw0 aboutcw there are 2 possibilities

    1. increase of the maximum velocity Vmax2. reduction of fuel consumption b

    Number 2 should be modern, but number 1 is usual

    Efficiency of the drag reduction with respect to the reduction of fuel consumption

    : efficiency coefficient

    The efficiency coefficient depends on type of car fuel consumption map of the engine gear box adjustment operation profile

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    Reduction of fuel consumption

    Comparison between the old 1/3 mix and the new EU test cyclus (1996) City cycle is the same for both test curves high speed range is different

    800 s constant 90 km/h and 120 km/h

    Curve with accelerations and decelerations

    High speed part is only 50% of the city cycle Average velocity for 1/3 mix is 76.2 km/h Average velocity for new EU mix is 32.5 km/h

    Result:10 % reduction of c w

    3 % reduction of fuel consumption: = 0.3for the 1/3 mix

    2 % reduction of fuel consumption: = 0.2for the new EU mix

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    Reduction of fuel consumption

    More realistic results can be found, if if the efficiency of a drag reduction is measuredin a customer oriented driving operation.Fast highway part of the cycle increases with the class of the passenger carHigh class cars are often driving fast.

    Efficiency is higher for high class cars

    Typical values of for different car typesschwerer Kurs: mountanious track for passenger cars, city traffic for bussesAssumption: smaller drag, but the same maximum speed weaker engine

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    Increase of the maximum velocity

    P: PowerF: Traction forceV: Velocity

    Efficiency between entry of gearbox and thecontact area of the wheel

    P B does not include the power ofauxiliary units

    Simple rule of thumb:

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    Drag, flow around the car

    a) Edges which are normal to the flow directionedges which are inclined against the localflow direction

    b) Different separations in the tail region Fullback: dead water with large volume

    edges are normal to the localflow direction

    Fastback: strong vortex pair comingthe obli ue C-columns

    Notchback: combination of both

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    Drag, flow around the car

    Three longitudinal vortex systems strong vortex pair from theC-column with inward rotating

    direction counterrotating vortices fromthe A-column

    third vortex pair coming from thecowl. The flow separates at the

    ,others

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    Drag, flow around the car

    Assumption:Aober = flat plate of length lFully turbulent boundary layerU locally higher velocity

    Approximation of the friction drag for a passengercar and an overland bus

    Overland bus: cw = 0.5: friction is 8%

    Passenger car: cw = 0.3: friction i2 13%

    Cwf is an invariant for the friction coefficient

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    Drag, flow around the car

    Fundamental relationship between modifications of shape detailsand air drag

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    Drag, flow around the car

    Typical functions: saturation, asymptote, minimum, jump

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    Blunted leading edge

    Flow around the sharp edge of a flat platea) Streamlinesb) Pressure distributionc) Velocity profiles

    Influence of the edge radius on cw

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    Blunted leading edge

    Influence of the edge radius onto theflow pattern and the drag of a cuboid

    Influence of the radius on the critical Reynolds number

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    Blunted leading edge

    Influence of the edge radius on the critical Reynolds number

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    Saturation

    Saturation for the small bus VW LT 1City bus: U = 50 km/h: r = 140 mmTravel bus: U = 80 km/h: r = 89 mm

    Optimal radius when the curve is saturated

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    Asymptote

    inclination angle of front and rear window height of boot width of boot

    Examples for Asymptote for AUDI 100 III1983

    No clear optimumConflict between design and

    aerodynamics

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    Asymptote

    Mechanisms:

    inclination of the front window

    more fluid over the roof and lessaround the A-column, weaker vortices smaller drag

    inclination of the rear windowsimilar to a wing profile with smaller

    ,becomes weaker, smaller under pressureon the rear window smaller drag,higher lift

    height and length of the bootbackward facing step, benefit forreattachment

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    Minimum

    Two different effects that work in opposite direction

    Front spoiler and lower side of the car

    a) Lift and drag

    Type Minimum, schematic

    ressure str ut on

    Spoiler: normal plateLower side: rough flat plate

    The spoiler protects the rough plate.

    Decrease of the static pressure reduction ofthe lift on the front axisStronger pressure gradient increase of thevolume flux of cooling air (important for racing cars)

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    Jump

    Typical example: Hatchback

    Fullback: = 0:Separation on all 4 edges,large dead water

    Small angle:Vortex pair induces down windFlow coming from the roof movesmownward and reattaches on the rearwindow, for a well rounded edge theseparation bubble vanishes, the dead

    water becomes smaller with the base area

    The intensity of the vortices increases withthe angle . The under pressure in-creases larger drag.At 30: vortex break down of the vortices.

    The downwind also breaks down. Theseparation jumps from the lower edgeto the upper edge

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    Flow through channels

    Cooling unit, water, oil, charge air air condition in the passenger cabin cooling unit for front wheel brakes additional drag influence on lift measurement with open inlet and with closed inlet drag of the cooling system interference drag

    different flow around the front art(can be negative)

    stronger inclination of the front wheels

    higher velocity on the lower surface

    Face velocity uffor free and for covered

    cooling inlet as a function of theloss coefficient

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    Interference

    multiple bodies tractor-trailer passenger car with caravan geometric quantity

    width of gap

    Limited total length < 18 m manoeuverable

    height difference

    Influence of the correlation betweendrivers cab and container on the drag

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    Interference

    Head drag coefficient of a longitudinal cylinderwith a circular plate with different diameter ratiosand distances

    Head: circular plate plus support stick plus

    small distances: cw = 0.72 (coaxial cylinder) cw decrases with increasing distance minimum for all diameter ratios

    minimum depends on the diameter ratio absolute minimum for d1/ d2 = 0.75 cylinder with rounded leading edge for larger distances: sum of both single values

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    Interference

    I) extremely small drag cw* < 0.1Distance diameter of the plate are optimalideal body with rounded nose

    II) Distance too large, strong oscillationsIII) Plate is too small

    IV) Distance is too close

    A) Plate too small, distance too largeB) Plate still too small, distance too largeC) Plate and distance too smallD) Plate too large

    Triple-Point CBD is optimum

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    Interference

    Influence of a baffle on the driverscab of a tractor trailer, example for Minimum, butdifferent from front spoiler

    Comparison between the flowfields on a tractor-trailer with

    and without a baffle on the drivers cab

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    Inclined incoming flow

    Wind velocity Side slip (Yaw) angle different from air planes tangential force, coefficient c T

    Influence of the yaw angle on thetangential force coefficient of a tractor-trailer

    with rounded and with sharp edge drivers cabin

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    Inclined incoming flow

    The flow is going through the complex underbody underinclination Inclination in the gap flow between the cabin and thecontainer vertical plate in the center at the front of the container

    easy to handle if the truck is always in combination with thesame container fairing on both sides of the gap the tangential force is not very important in practice high yaw angles at high velocities are seldom high yaw angles at lower velocities are not relevant for fuel

    consumption Estimation:

    ~ 5for passenger cars on highways ~ 8for trucks (lower velocity)

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    Inclined incoming flow

    Ford Werke GmbH (2003)

    Pressure distribution for symmetric flow and for an angle of 20

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    Inclined incoming flow

    Flowfield through the gap between the cabinAnd the containe at inclined flow

    Increase of the optimum noseradius at inclination

    Lif d i hi

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    Lift and pitching moment

    Blunted bodies adjacent to the ground Upward lift momentum around the transverse axis additional effect: positive curvature positive lift (profile theory)

    only important for passenger cars unimportant for busses and trucks reduction of the lift force on both axes positive lift is usually unwanted lower side forces unbalanced forces on the axes self-steering properties

    Lift and pitching moment on a passenger car, schematic

    Di ti f ti t bilit

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    Direction of motion, stability

    inclined flow nonsymmetric flowfield side forces and additional moments change of course, if the driver does not navigate against these forces

    2 aspects for the reaction of a vehicle on side winds comfort safety

    o annoying and exhausting for the driver to react permanentlyon side winds

    o for larger course deviation it becomes dangerous, if thereactions during short gusts of wind or during outdistancehappens at the wrong moment

    Rear engine front engine: smaller side wind sensitivity ( center of gravity moved forward if the total weight of cars becomes smaller side wind sensitivity becomes more important

    Di ti f ti t bilit

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    Direction of motion, stability

    Driver plus car: closed loop system command variable: road the closed loop system should be stableunder all practical conditions type of control of the driver cannot bechanged easily (by training) type of control of the car itself is important

    mathematical model for the car mathematical model for the driver forces and momentums for all

    combinations of wind velocity and yawangle

    Linearised car model

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    Linearised car model

    Small cross acceleration ay/ g < 0.5linearised model All angles are small except the yaw angle cosine = 1 sine and tangent = angle one lane model No longitudinal forces (no acceleration, nobrake) variation of vertical forces is neglected (at first) model with 2 degrees of freedom (swimming

    neglection of side winds

    Linearised car model

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    Linearised car model

    Movement of the center of gravity in cross direction

    Rotation of the vehicle around the vertical axis

    Slip angles on front and rear axes

    Angle

    Side forces on front and rear axis

    cV and cH include the side stiffnes ofthe tyresand the elastic kinematicproperties of the axesand the steering mechanism

    Acceleration

    Equations of the movement

    Linearised car model

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    Linearised car model

    Sidewind included unsymmetric flow change of tangential force T, lift A, pitching moment M new: side force S, yawing moment N, rolling moment R

    Wind velocity U has two parts wind velocity VW

    Simplified one-lane model including side wind

    Linearised car model

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    Linearised car model

    New components

    Yawing moment : side force x lever arm

    To keep the course with steady side wind

    Resulting equations of movement

    Elimination of leads to the steer angle

    Side force and yawing moment

    Equations of the movement

    Linearised car model

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    Linearised car model

    The steering angle remains small, if

    the aerodynamic coefficient k is small, can be influenced by the shape of the body

    Interesting: steer angle is zero

    Linearised car model

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    Linearised car model

    Usually: passenger cars understeer

    Distance xs0 between the pressure point and the center of

    gravity: preasure point must be behind cog.

    Only possible with a large finMovement of the center of gravity is limitedEven cars with front engine have a positive x

    http://en.wikipedia.org/wiki/Understeer

    Linear only for small anglesStiffness = slope of the curves,

    decreases if thewheel load decreases

    Lift influences the wheel loadPitching moment distributes the liftSwitch from understeering to over-steering more dangerous

    Over- and Understeering

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    O e a d U de stee g

    Drivers model

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    2-plane model normal tour without disturbances, anticipating, control stabilising, stochastic disturbances (wind), reduction of course deviation , adjustment control

    Control

    Compensatory partCritical es eciall for drastical chan es s uall wind

    T1 : reaction time

    stable

    lateral deviation from course yaw angle yaw angle velocity yaw angle acceleration

    roll angle (high drivers positions in buses or vans

    T , Ty , reaction times A , Ay, driver coefficients, experiments

    Side winds

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    fixed steering wheelL = 0 released steering gear active control

    Open loop: only the characteristicsof the car itselfSub ective feelin b interviewin

    V: driving speedVW : Wind velocity Small yaw angle linear behaviour of cS and cN

    Measurement of the yaw angle velocityIntegration: y(t)Differentiation: yaw angle accelertaion

    Side winds

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    From many experiments:Large side wind sensitivity from yaw angle acceleration at the beginning

    From interviews with test persons Large cN high side wind sensitivity large c

    Swithout yawing is good to be handled

    For Aerodynamic people: on a conflict side force vs. Yaw moment smaller yawing moment and higher side force

    System driver + carTry to keep the direction constantMeasurement of average and RMS ofL (t)

    usually no standard experimental conditions different length of the test section different velocitites experiments cannot be compared

    Side winds

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    frequency range natural side wind ration of the yaw angle velocity and the side wind

    Aerodynamics at inclination

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    Main values: Yawing moment andside force important for side instabilities where do they come from how can they be influenced

    Similar to lift force and pitchingmoment on airfoils

    Yaw angle = angle of attack

    Overpressure on the windward

    side (luv)

    Underpressure on the leeward side

    Side force (car) = lift (airfoil)

    For well rounded front part (topview) attached flow with aleeside pressure peak Yawing or pitching moment

    Comparison of the pressure distribution on an airfoil witha horizontal cut through a car

    Aerodynamics at inclination

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    Usually the aerodynamic yaw moment isunstableTends to increase the yaw angle

    a) streamlined body:

    no separation, small side force, large yawingmomentb) Sharp tail:

    flow separation, approximately the same

    Dependency of the yawing moment of the yaw angle

    ,large side force and smaller moment

    c) Sharp nose and tail:separation at the nose, larger sider force,

    smaller moment, but very large drag

    All three are unstable

    d) Tail fin on the slender tail:large side force and stable moment,but, tail fins are not suitable for passenger

    cars, because they make the car longer

    Aerodynamics at inclination

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    Side view is also important for side forces and yawing moment

    hatchback: small side force, large yawing moment, sensitive against side winds variant: large side force, smaller yawing moment, relatively unsensitive notchback: moderate force and moment

    Aerodynamics at inclination

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    Smaller yaw moment for an intended flow separation at the nose for large inclination

    Large inclination are only important for short times (squally wind)Drag force is not very important

    Optimal rounded nose attached floaw and small drag for small yaw angles

    Real flow

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    Except for calm air: athmospheric boundary layer twisted velocity profile unsteady flow

    Overtake

    squally wind coming up against another car side wind jets

    Stochastic and deterministic time dependency

    From high to lower frequencies transition from laminar to turbulent, modifiedseparation changed forces and moments by aeroelasticeffects excitation of eigenfrequencies (yawing atsqually wind additional wind noise

    Real flow

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    Overshooting of side forceand yawing moment atimmersion into a sidewind jet

    Typical problems in windtunnels andcomputers steady flow thin boundary layer

    non twisted boundary layer degree of turbulence is small in windtunnels the question of the errors due to thestron idealization are not et answered

    Flow on surfaces

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    Not only forces and moments, i.e. integral valuesDetails: location of vents in the car body forces on single parts of the car body; leak tightness

    keep windows and mirrors free from mud and water reduction of wind noise

    Vents: cooling air for engine, aggregates, brakes combustion air for motor fresh air for air condition in the cabin

    Opening

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    Sun roofs large scale connection between innerroom and outer flow low frequent resonance

    humming can be reduced with kerfs in the winddeflector but slightly increased sound at higherfre uencies

    Cabriolets: avoid the backward flow behind the

    seats wind separation

    Acoustics

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    wind noise becomes more important, since theengine and the tyres have already been dampedin the last years noise in the cabin is in the focus, but outer noisebecomes more important

    leakages

    whistling noise

    optimization ofseals turbulent boundary layers air frame noise A-columns outer mirror opt m ze t e s ape o t e m rror an ts x ng tokeep the turbulent small and to avoid that it hitsthe side windows; windows have a smallerdamping

    Acoustics

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    Single tones are very aggravating cylindrical and prismatic parts

    Acoustics on a telescope antenna, BMW

    Multi phase flow

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    self contamination air includes particles, wet and dry particles are heavier than air cannotfollow the streamlines

    settle down on surfaces 2 Aspects: safety and aesthetics drip moulding at A-column or on top ofthe tail window

    Photo: Daimler Chrysler AG

    Multi phase flow

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    Avoiding of mud sedimentation is more complex stagnation points, head light side windows, tail aerodynamic forces are not strong enough

    windshield wiper, water jets

    a) Sedimentation of mud, particles are dispersed from the rear wheels,enter the dead water region, sediment on the base

    b) Dust shield across the total width increase of the drag force, isreasonable for city buses, because of the small velocity

    c) Additional wing, avoids mud in the upper part of the window, butmore mud in the lower region (licence tag) , effective wing must beoutside of the boundary layer increased drag force

    Multi phase flow

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    Contamination of other motorists and cyclists important for passenger cars covering of uncontrolled wheels free moving space for front wheels reduced drag, especially for inclined flow angles protection for the underbody