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RESEARCH ARTICLE Experimental investigation into wing span and angle-of-attack effects on sub-scale race car wing/wheel interaction aerodynamics S. Diasinos A. Gatto Received: 29 October 2007 / Revised: 9 March 2008 / Accepted: 22 March 2008 / Published online: 13 April 2008 Ó Springer-Verlag 2008 Abstract This paper details a quantitative 3D investiga- tion using LDA into the interaction aerodynamics on a sub- scale open wheel race car inverted front wing and wheel. Of primary importance to this study was the influence of changing wing angle of attack and span on the resulting near-field and far-field flow characteristics. Results obtained showed that both variables do have a significant influence on the resultant flow-field, particularly on wing vortex and wheel wake development and propagation. 1 Introduction Current open wheel race car performance depends heavily on the effectiveness and efficiency of its aerodynamics. Appendages such as inverted wings, diffusers, barge boards and splitter plates are currently used to enhance perfor- mance, but the physics and mechanisms through which this is achieved, particularly via various component interac- tions, remains poorly understood. From a design perspective, the ultimate goal of the designer is to con- tribute to the downforce produced by a race car while minimizing drag. This enhances the mechanical grip of the tires on the track, allowing the vehicle to corner at speeds which would otherwise be impossible. On modern open wheeled race cars, approximately 30% of the total down- force produced originates from the front wing (Metz 1987; Dominy 1992). However, the close proximity of the front wheels to the front wing can have a significant influence on this performance metric (Katz 2006; Agathangelou and Gascoyne 1998). Surprisingly, very little information relating to open wheel/inverted wing interaction exists in the open source literature. This is most probably due to the sensitive nature of this information in the extremely competitive and lucra- tive businesses at the pinnacle of motor racing, particularly Formula 1. There are however, an ever increasing number of investigations appearing in the literature concerned specif- ically with investigating an inverted wing or wheel in isolation (Zerihan and Zhang 2000; Katz 1986; McManus and Zhang 2006). Two such investigations for the isolated wing case were conducted recently by Zerihan and Zhang (2000) and Ranzenbach and Barlow (1996). Independently, they both found that a ‘‘downforce loss phenomenon’’ can occur with a small, subsequent reduction beyond a critical ride height. This was later found to be fundamentally caused by the development of severe adverse pressure gradients on the wing undersurface as the ride height was reduced. Ze- rihan and Zhang (2003) followed up this work with an additional 3D experimental analysis, using LDA, to deter- mine the effect of varying ride height and front wing angle of attack (AOA) on the overall wake structure, together with the formation and displacement of tip vortices. Results from this analysis showed that as the wing approached the ground, the region of separated flow and the size of the wake increased, moving towards the ground plane as it travelled downstream. With subsequent further reductions in ride height, the vortex strength was found to increase up until a critical ride height at which a loss of downforce, and con- sequently wing tip vortex strength, occurred. S. Diasinos Toyota F1, Koln, Germany e-mail: [email protected] A. Gatto (&) Department of Mechanical Engineering, School of Engineering and Design, Brunel University, UB8 3PH Uxbridge, England e-mail: [email protected] 123 Exp Fluids (2008) 45:537–546 DOI 10.1007/s00348-008-0499-z

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Experimental Investigation Into Wing Span and Angle-Of-Attack Effects on Sub-scale Race Car Wing:Wheel Interaction Aerodynamics

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  • RESEARCH ARTICLE

    Experimental investigation into wing span and angle-of-attackeffects on sub-scale race car wing/wheel interaction aerodynamics

    S. Diasinos A. Gatto

    Received: 29 October 2007 / Revised: 9 March 2008 / Accepted: 22 March 2008 / Published online: 13 April 2008

    Springer-Verlag 2008

    Abstract This paper details a quantitative 3D investiga-

    tion using LDA into the interaction aerodynamics on a sub-

    scale open wheel race car inverted front wing and wheel.

    Of primary importance to this study was the influence of

    changing wing angle of attack and span on the resulting

    near-field and far-field flow characteristics. Results

    obtained showed that both variables do have a significant

    influence on the resultant flow-field, particularly on wing

    vortex and wheel wake development and propagation.

    1 Introduction

    Current open wheel race car performance depends heavily

    on the effectiveness and efficiency of its aerodynamics.

    Appendages such as inverted wings, diffusers, barge boards

    and splitter plates are currently used to enhance perfor-

    mance, but the physics and mechanisms through which this

    is achieved, particularly via various component interac-

    tions, remains poorly understood. From a design

    perspective, the ultimate goal of the designer is to con-

    tribute to the downforce produced by a race car while

    minimizing drag. This enhances the mechanical grip of the

    tires on the track, allowing the vehicle to corner at speeds

    which would otherwise be impossible. On modern open

    wheeled race cars, approximately 30% of the total down-

    force produced originates from the front wing (Metz 1987;

    Dominy 1992). However, the close proximity of the front

    wheels to the front wing can have a significant influence on

    this performance metric (Katz 2006; Agathangelou and

    Gascoyne 1998).

    Surprisingly, very little information relating to open

    wheel/inverted wing interaction exists in the open source

    literature. This is most probably due to the sensitive nature

    of this information in the extremely competitive and lucra-

    tive businesses at the pinnacle of motor racing, particularly

    Formula 1. There are however, an ever increasing number of

    investigations appearing in the literature concerned specif-

    ically with investigating an inverted wing or wheel in

    isolation (Zerihan and Zhang 2000; Katz 1986; McManus

    and Zhang 2006). Two such investigations for the isolated

    wing case were conducted recently by Zerihan and Zhang

    (2000) and Ranzenbach and Barlow (1996). Independently,

    they both found that a downforce loss phenomenon can

    occur with a small, subsequent reduction beyond a critical

    ride height. This was later found to be fundamentally caused

    by the development of severe adverse pressure gradients on

    the wing undersurface as the ride height was reduced. Ze-

    rihan and Zhang (2003) followed up this work with an

    additional 3D experimental analysis, using LDA, to deter-

    mine the effect of varying ride height and front wing angle

    of attack (AOA) on the overall wake structure, together with

    the formation and displacement of tip vortices. Results from

    this analysis showed that as the wing approached the

    ground, the region of separated flow and the size of the wake

    increased, moving towards the ground plane as it travelled

    downstream. With subsequent further reductions in ride

    height, the vortex strength was found to increase up until a

    critical ride height at which a loss of downforce, and con-

    sequently wing tip vortex strength, occurred.

    S. Diasinos

    Toyota F1, Koln, Germany

    e-mail: [email protected]

    A. Gatto (&)Department of Mechanical Engineering,

    School of Engineering and Design,

    Brunel University, UB8 3PH Uxbridge, England

    e-mail: [email protected]

    123

    Exp Fluids (2008) 45:537546

    DOI 10.1007/s00348-008-0499-z

  • As one of the first investigations to consider the realistic

    flow conditions over an isolated rotating wheel, Fackell and

    Harvey (1975) published both qualitative and quantitative

    experimental results using a moving ground at a Reynolds

    Number (based on wheel diameter) of 5.3 9 105. In this

    work, it was demonstrated that spinning the wheel and

    having it in contact with the ground is of vital importance

    to obtain appropriate lift and drag values. In previous

    studies this was not, necessarily, considered critical

    (Stapleford and Carr 1970). Perhaps, the most striking of

    the results presented by Fackrell (1974) was the detection

    of surface pressure coefficients greater than two in the

    upstream region of the contact patch (i.e the cross-sectional

    area of the wheel in contact with the ground) due primarily

    to the effects of viscous jetting (Fackrell 1974). This jetting

    effect was found to be a bi-product of the interaction

    between the oncoming airstream and the wheel/road junc-

    ture, producing an effective and significant pumping of

    the air out into the freestream from either side of the wheel.

    Considering the specific case of a front wing and wheel

    operating in close proximity, Thisse (2004) conducted a

    small number of computational investigations using Flu-

    ent on differing endplate designs with the front wheelincluded. The analysis was compiled at fixed wing span,

    chord, ride height, and AOA with results obtained indi-

    cating as much as a 36% reduction of wing downforce

    with the wheel present over the isolated wing case. This

    was thought to be due to lower wing surface exposure to

    the high pressure region formed forward of the wheel

    contact patch. Curiously, results also showed that the flow

    separation position on the wheel occurred aft of the

    position of maximum wheel height with the wing instal-

    led. Mortel (2003) and Cumming (2002) also presented

    results for the wing/wheel interaction case with the former

    investigating improved endplate designs and the later, the

    effect of wing sweep. Unfortunately, neither offered any

    great insight into the aerodynamic interaction of a wing

    and wheel, but they did indicate that the inclusion of the

    wheel made the flow over the wing significantly more

    three-dimensional.

    2 Experimental setup and apparatus

    2.1 Inverted wing and wheel geometry

    For all experimental investigations, the wing comprised a

    single element, constant chord (c = 0.075 m), NACA 4412

    aerofoil profile. A rectangular endplate with a rounded

    leading edge and a tapered trailing edge was fitted at the

    wing tip. For all AOA conditions considered, the base of

    the endplate was fixed at a position 0.04c below the lowest

    vertical position of the wing surface. The lowest vertical

    position of the wing surface was also used as a reference

    for ride height which was defined as the distance from this

    position to the ground plane. For this investigation, ride

    height was fixed at h = 0.13 c. The overall wheel diameter

    and width were 1.17 and 0.631 c, respectively, with both

    wheel edges incorporating shoulder radii of 0.067 c to

    more accurately depict a real tire cross-section. The mini-

    mum distance between the endplate and the front of the

    wheel was maintained at 0.087 c for all cases investigated,

    with the wing span adjustable from O = 0100% overlap

    of the wheel width. The range of AOA investigated was

    from 0 to 12 with increments of 4. A picture of the setupused is shown in Fig. 1.

    2.2 Experimental setup

    All experimental results were obtained using a 225 mm by

    340 mm open circuit, closed test section, wind tunnel. A

    moving ground was also built and installed in the wind

    tunnel with a belt span of 200 mm (93% of the tunnel

    width) and an overall length of 990 mm. A purpose built

    duct, located upstream of the belt (Fig. 2a), was used to

    remove the boundary layer formed over the tunnel floor to

    accurately simulate moving model conditions. An example

    of the velocity profile at a location -2 c upstream of the

    model station, under operating conditions without the

    model installed, is shown in Fig. 3. The nominal freestream

    turbulence level in the wind tunnel was measured at 0.15%,

    with all experiments conducted at a freestream velocity

    (Vo) of 10 ms-1 0.05 ms-1. This gave a test Reynolds

    number, based on wing chord, of 5.11 9 104.

    The wing, wheel, and endplate used for all experimental

    testing was manufactured from polished acrylic to ensure a

    smooth, transparent surface (Fig. 1). The wheel was

    mounted in position via a faired sting connected to the test

    section wall and incorporated deep groove ball bearings to

    allow free rotation from contact with the moving ground

    Fig. 1 Inverted wing and wheel setup

    538 Exp Fluids (2008) 45:537546

    123

  • belt. The scale of the experimental wind tunnel model was

    approximately 1:7.5.

    The support system for the wing/endplate combination

    allowed an AOA adjustment resolution of 0.05, with thespan of the wing, wheel track, ride height of the endplate,

    and distance between the endplate and the wheel all posi-

    tioned to better than 0.1 mm. Under experimental test

    conditions, the belt of the moving ground, at no stage, was

    observed to lift up and was operated at 10 ms-1 0.2 ms-1.

    The maximum test section blockage for the wing/wheel

    combination was calculated at 9.5%. At this level, it is

    envisaged that blockage effects will cause a certain degree

    of flow constrainment (i.e reduced vortex expansion and

    artifical delay of flow separation) on the flowfield. It should

    be noted, however, that the main focus of this work is

    considered comparative, thereby reducing somewhat the

    significance of blockage effects on the overall trends and

    correlated results.

    To obtain all experimental data, LDA surveys were

    performed over four planes located, between, and aft of the

    wing and wheel combination. As indicated in Fig. 2b, the

    location of these planes were referenced to the wheel center

    plane and staggered at x = -0.63 c, x = 0.75 c, x =

    1.50 c, and x = 3.00 c, respectively. All LDA results were

    taken in an area of interest 1.63 c high by 2.1 c wide ref-

    erenced 2 mm from the left test section wall (Fig. 1) and

    Fig. 2 a Overall layout of testrig, b LDA measurement planes

    Exp Fluids (2008) 45:537546 539

    123

  • 1 mm off the belt surface. LDA measurements within these

    planes, were taken at approximately 400 points within

    these boundaries, with measurement points selected to be

    more densely packed in close proximity to the wing and

    wheel. For the plane located at x = -0.63 c, access of the

    LDA beams was inhibited by the model, allowing there-

    fore, only partial data collection at this measurement

    station.

    The 3D Dantec LDA system used to measure all

    velocities comprised a 5 W ArIon laser and was config-

    ured to operate in coincident, backscatter mode. The LDA

    probes were mounted on a computer controlled traverse

    which was adjustable to within 0.01 mm over identical

    translation ranges in the X, Y, and Z directions of

    1,010 mm. Procedures outlined by Benedict and Gould

    (1996) were used to estimate the 95% confidence interval

    for the LDA results with the accuracy of non-dimensional

    velocity magnitude found to be better than 0.03. A single,

    Laskin type atomizer, using vegetable oil to generate

    seeding particles, was incorporated into the test setup to

    seed the flow and obtain all velocity data. At each mea-

    surement point analyzed, within each measurement plane,

    the final value for the three components of velocity

    obtained was acquired from averaging more than 2,000

    instantaneous samples.

    3 Results and discussion

    3.1 Wheel without wing, comparison of stationary

    and rotating wheel

    Results obtained from the rotating and stationary isolated

    wheel cases are presented in Fig. 4. As with all following

    results, to aid in both qualitative and quantitative analy-

    ses, both constant non-dimensional streamwise velocity

    iso-contours (Vx/Vo) as well as the in-plane flow direction

    and relative magnitude (arrows indicate Vyz) are presented.

    On first inspection, the two main wheel vortex structures

    found in previous investigations are clearly evident in all

    but the foremost measurement plane (Fackrell 1974; Axon

    1998). These vortices are setup in the recirculation zone

    behind the wheel from flow entrained from the freestream

    (McManus and Zhang 2006; Zhang et al. 2006). Clearly

    visible also at the measurement plane X = -0.63, is a

    stagnation region located at approximately mid-height for

    both wheel configurations. Flow physics dictate that flow

    stagnation also occur at the junction of the wheel/road

    interface (i.e the contact patch), however the proximity of

    the measurement plane to this region gives very little

    indication of its existence. The high pressure region gen-

    erated at this location is known to accelerate and eject the

    flow cross-stream, where a complex interaction with the

    freestream occurs around the wheel edge (McManus and

    Zhang 2006).

    Considering more closely the development of the wheel

    vortices, from Fig. 4ch, the general trend is for the vortex

    size and separation distance to increase with further

    propagation downstream. The wheel vortex separation

    distance is particularly evident when comparing Fig. 4c

    (0.9 \ Y \ 1.55) to Fig. 4g (0.75 \ Y \ 1.9) and Fig. 4d(0.85 \ Y \ 1.65) to Fig. 4h (0.5 \ Y \ 1.9). Theseresults show that through rotating the wheel, decreases in

    wheel vortex separation distance by up to 20% (at X = 3)

    can be achieved over the stataionry wheel configuration.

    Also clear from comparing Fig. 4c, e to d, f is that the

    general wheel vortex shape appears significantly flatter

    in the non-rotating case than that observed for the rotating

    configuration. This result has been inferred by past publi-

    cations (Fackell and Harvey 1975; McManus and Zhang

    2006) and is thought to result from the differing amounts of

    the viscous jetting flow and the different flow separation

    positions between the two configurations.

    Further comparisons between the rotating and stationary

    cases in Fig. 4 also show subtle differences in the complex

    near wake structure directly behind the wheel (Fig. 4c, d).

    First, the results indicate that the wheel wake for the rotating

    case is thinner and marginally higher (0.95 \ Y \ 1.6,Z = 1.5) than that found for the stationary configuration

    (0.8 \ Y \ 1.65, Z = 1.4), indicating delayed separationover the top of the wheel. This finding is further supported by

    differences found in the degree of flow entrainment down the

    centre of the rear of the wheel at this measurement location.

    From direct comparison of the in-plane velocity results

    between the two cases, velocity magnitudes of up to 10%

    greater where found for the stationary case. Supplimental to

    this result is that this increased degree of flow entraiment is

    seen to extend closer to the ground plane for this case

    (indicated in Fig. 4d). In previous work, (Fackell and Harvey

    Fig. 3 Velocity profile -2 c upstream of wheel centreline; emptytest section, mid-span

    540 Exp Fluids (2008) 45:537546

    123

  • 1975; McManus and Zhang 2006), this increased entrain-

    ment for the stationary case was found to be due to the

    decelerating flow on the rear surface of the wheel being

    energized by the entrained main streamwise flow around the

    sides. This promotes the central region of attached flow as it

    is directed down the rear face of the wheel and toward the

    ground. Additionally, this characteristic of flowfield, and

    the subsequent bi-furcation of the flow as proximity to the

    ground increases, clearly implies the existence of a down-

    stream stagnation line on the ground plane (Fig. 4f).

    Fig. 4 Comparison ofstationary and rotating isolated

    wheel results

    Exp Fluids (2008) 45:537546 541

    123

  • 3.2 Wheel and wing, wing span 100%

    From Figs. 5 and 6, it is immediately apparent that the flow

    characteristics have become much more complex with the

    addition of the front wing at full span (silhouette indicated).

    This is particularly the case in the flowfield directly behind

    and around the wheel boundaries. In this region, the overall

    flowfield is clearly more asymmetric with an additional

    primary wing vortex clearly visible at the wingtip (i.e

    Fig. 5g at Y = 1.4, Z = 0.15). This vortex is generated via a

    pressure differential setup around the wing tip/endplate

    structure through wing undersurface suction (Zerihan and

    Zhang 2003). This vortex rotates in an anti-clockwise

    direction and when comparing Fig. 5e, g, as expected,

    clearly becomes larger with increasing angle of attack.

    Together with these characteristics, increasing wing angle

    of attack also produces more significant crossflow across

    the wheel face as can be most vividly shown when com-

    paring Fig. 5a, g. For these two particular cases, a change in

    angle of attack of 12 has increased the local in-plane non-dimensional velocity magnitude Vyz/Vo, from essentially

    zero at Y = 1.25, Z & 0 to Vyz/Vo = 0.4. As the angle ofattack is reduced however, the ability of this vortex to

    promote crossflow velocity and overcome the high pressure

    region within the contact patch clearly diminishes with

    Vyz/Vo at Y = 1.25, Z & 0 for AOA = 4 and 8 beingVyz/Vo & 0 and Vyz/Vo = 0.1, respectively. The primaryvortex, under these conditions, would posses an enhanced

    ability to move around the outside of the wheel rather than

    along the front face, and finally, on its inside.

    Further to the previous discussion, increasing the AOA

    of the wing up to 12 is seen to fundamentally shift theaerodynamics in the vicinity of the contact patch. At these

    extreme conditions, the enhanced crossflow generated

    creates conditions where the initially symmetric viscous

    jetting (Fig. 4a, c) becomes highly asymmetric (Fig. 5ch).

    The primary effect of this resulting asymmetry is seen both

    at this measurement station (X = 0.75) as well as further

    downstream. From comparing Figs. 6 to 4, a significantly

    increased degree of wake asymmetry is also clearly evi-

    dent. The resultant wake, with the wing installed, leads to a

    general bias toward the inside of the wheel, entraining the

    flow to this side, and ultimately setting up the predominant,

    final anti-clockwise flow rotation condition as shown in

    Fig. 6b, d, f, h. In Fig. 6b, d, f, h, the flowfield has become

    much less distinct to individual flow characteristics,

    effectively being now, only a mixture of the more specific

    flow features shown upstream.

    Another interesting aspect of note with the addition of

    the front wing is the movement of the stagnation position at

    mid-wheel height as angle of attack is increased. From an

    AOA = 012, the height of the stagnation position wasfound to move from Z = 0.5 to Z = 0.55. Adjacent to this

    region, at mid-wheel height, evidence also exists for a

    substantial degree of flow acceleration (Vyz/Vo = 0.70.9)

    over the top of the endplate and into the mainstream flow

    along the outside of the wheel (Fig. 5a, c, e, g). This flow

    characteristic, which intensifies with AOA increase, is also

    prominent when the AOA = 0o (Fig. 5a), which would be

    expected due to the proximity of the stagnation region at

    mid-wheel height.

    On further comparison of results from Figs. 4 and 5, the

    wake behind the wheel with the addition of the front wing

    was also found to be significantly more compact than that

    shown for the isolated wheel case (both stationary and

    rotating) shown in Fig. 4. Additionally, the wake height

    with the addition of the front wing seems to have reduced

    slightly to approximately the top of the wheel between

    1.2 \ Z \ 1.3 (Fig. 5b, d, f, h) when compared to bothwheel alone cases (1.4 \ Z \ 1.5). In this instance, thewing clearly assists the flow in overcoming the obstacle of

    the wheel thereby tending to reduce the likelihood of pre-

    mature flow separation over the top of the wheel and the

    subsequent higher wheel wake. As can be seen in Fig. 5b, d,

    f, h, this decrease in wake height with the wing installed was

    also found to reduce the flow velocity entrained to the floor

    by upwards of 30% compared to the isolated wheel cases.

    3.3 Wheel and wing, wing span 0%

    Results for the wing/wheel combination as the front wing

    angle of attack is increased for the minimum span condi-

    tion are shown in Fig. 7. At first inspection, there exists a

    much larger vortex located at Y = 0.5, Z = 0.2 (Fig. 7c)

    which travels on the inside of the wheel and towards the

    wind tunnel wall (symmetry plane). This larger vortex,

    which is now augmented by the high pressure region of the

    contact patch, is also shown to translate vertically upwards

    from Z = 0.2 to Z = 0.3 (Fig. 7d) with change in wing

    AOA. This result was thought to be due mainly to the

    added contribution of flow upwash with increase in wing

    AOA. Additionally, as can be seen from Fig. 7eh, this

    flow feature also remains one of the dominant flow features

    for both angles of attack, and together with the left wheel

    vortex, produces a general clock-wise rotation on the

    overall downstream wake field (Fig. 7g, h). This final result

    is in direct opposition to the result found at the same

    measurement locations for the full span condition shown in

    Figs. 5 and 6.

    Another interesting contrast with the results presented

    for the longest wing span tested, is that for the shortest

    wing span configuration, for the largest angle of attack,

    there is a clear absence of any dominant crossflow within

    the contact patch region (Figs. 5g, 7b). Additionally, the

    mid-wheel height stagnation position remains relatively

    unaffected with AOA change at this decreased wing span

    542 Exp Fluids (2008) 45:537546

    123

  • condition. However, the acceleration of the flow over the

    end plate clearly remains, albeit, now moving inboard

    instead of outboard as described in Sect. 2. Interestingly,

    for the short wing span, the maximum in-plane velocity

    magnitude within this region was found to be measurably

    smaller with Vyz/Vo = 0.8 at AOA = 12 compared toVyz/Vo = 0.9 found in Fig. 5. Under these conditions, the

    high pressure regions at both the mid-height of the wheel

    and on the upper wing surface now tend to react against

    each other, leading to lower flow velocities.

    4 Conclusion

    An investigation into the effect of changing wing span and

    angle of attack on the interaction aerodynamics of a sub-

    Fig. 5 Comparison of resultsfor maximum wing span;

    X = -0.63 and X = 0.75

    Exp Fluids (2008) 45:537546 543

    123

  • scale inverted wing and wheel, in ground effect, is pre-

    sented. Experimental results obtained using 3D LDA are

    presented and were used to show various component

    interaction aerodynamic phenomenon in an attempt to

    broaden understanding of this complex interaction. It was

    demonstrated that when the wing span is adjusted across

    Fig. 6 Comparison of resultsfor maximum wing span;

    X = 1.5 and X = 3

    544 Exp Fluids (2008) 45:537546

    123

  • Fig. 7 Comparison of resultsfor minimum wing span

    Exp Fluids (2008) 45:537546 545

    123

  • the width of a wheel at different AOA, the primary wing

    vortex plays a significant role in the resulting flow physics.

    Primarily, at low wing spans the primary wing vortex

    travels on the inside of the wheel producing a complex

    asymmetric wake structure with general rotational char-

    acteristics in the clockwise direction when viewed from in

    front of the combination. At larger spans the reverse was

    found. The primary mechanism for changing wing AOA

    was to change the size, strength and degree of movement of

    the tip vortex generated from the main wing element. It is

    hoped that while the conditions specified in this paper are

    specific and sub-scale, there are clearly defined trends and

    characteristics in the results presented that may give the

    designer an initial, useful, and macroscopic insight into this

    highly complex flow phenomenon.

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    Experimental investigation into wing span and angle-of-attack effects on sub-scale race car wing/wheel interaction aerodynamicsAbstractIntroductionExperimental setup and apparatusInverted wing and wheel geometryExperimental setup

    Results and discussionWheel without wing, comparison of stationary and rotating wheelWheel and wing, wing span 100%Wheel and wing, wing span 0%

    ConclusionReferences

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    /Description >>> setdistillerparams> setpagedevice