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Aerodynamics-in-Motorsports-
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-
Abstract--
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-
1.-Introduction-
%
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50
100
150
200
250
21
21.5
22
22.5
23
23.5
24
24.5
25
1900 1920 1940 1960 1980 2000 2020
Indy, One Lap Record, Mph
100m-Dash, Men, Mph
Year
Indy 500, one lap record
100m Dash, Men, Mph
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CD=Drag Force
0.5
ρ
U2SCL=Lift Force
0.5
ρ
U2S
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2.-Generic-trends-(Aerodynamic-vs-Vehicle-shape)-
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[$% I9><=><=% #% />F>E#9% =0<09>:% I.H$% :E./0% 4.% 420% 9.#HB% %>4/% D1109% /D97#:0% >/% :#FI090HB%
90/DE4><=% ><% 7#/409% 7E.K% .A09% 420% 4.1% !#<H% E.K09% 190//D90B% #/% [09<.DEE>% 190H>:40H,(%
C.</0GD0<4E$B%E>74%#<H%#HH>4>.<#E%H9#=%>/%=0<09#40H%#<H%:.FI><0H%K>42%420%#HH0H%K200E/%420%
H9#=% ><:90#/0/% <0#9E$%a% 4>F0/%!/00% :#/0% h)% ><% T>=(% &,(% O2>/% :.<7>=D9#4>.<%90190/0<4% #<%
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I.42% H9#=% #<H% E>74% ><:90#/0% />=<>7>:#<4E$%!#/% ><% T>=(% &B% /2#10% h&,(% V.KB% /.F0% .7% 420% F./4%
1.1DE#9% 9#:><=% /09>0/% #90% I#/0H% .<% .9H><#9$% /0H#</B% /.% #7409% F.H>7>:#4>.</%!0(=(B% #HH><=% #%
90#9% K><=% #<H% #% 79.<4% /1E>4409% 1E#40,% 420 % E>74%4D 9</% ><4.% F.H09#40% H.K<7.9:0% #<H% 420% H9#=%
><:90#/0/% .<E$% /E>=24E$%!ha% ><% T>=(% &,(% O20% /F#EE09% 42#<% 0P10:40H% H9#=% 10<#E4$% :#<% I0%
:.<49>ID40H% 4.% 420% #HH>4>.<#E% /490#FE><><=% .7% 420% 9#:><=% /0H#<%A09/>.<(% T><#EE$B% #% 2>=2%
H.K<7.9:0%19.4.4$10%9#:09%>/%/2.K<%4.%H0F.</49#40%420%D1109%E>F>4/%.7%H.K<7.9:0(%U>=209%
A#ED0/% K>EE% 90GD>90% 0P490F0E$% /4>77% /D/10</>.<% !HD0% 4.% 420% E#9=0% H.K<7.9:0% #4% 420% 2>=209%
/100H/,B%K2>:2%K>EE%F#J0%420%:#9%A09$%D<1E0#/#<4%4.%H9>A0(%V.K#H#$/B%90=DE#4.9/%#440F14%4.%
:2#<=0%420%9DE0/%/.%42#4%H.K<7.9:0%E0A0E%K>EE%<.4%0P:00H%#119.P>F#40E$%Ce%i%N)(Y(%
%
3.-Ground-effect--
-
O20%7>9/4%4K.%0P#F1E0/%><%T>=(%&% /D==0/4%42#4%=9.D<H% 19.P>F>4$%2#/%#% />=<>7>:#<4%0770:4%.<%#%
A02>:E0Q/% #09.H$<#F>:/(% %O2>/% 0770:4% K#/%7D94209% ><A0/4>=#40H% I$% :.F1#9><=% 420% =9.D<H%
19.P>F>4$%0770:4%.7%4K.%=0<09>:%0EE>1/.>H/B%#/%/2.K<%><%T>=(%a(%[.42%0EE>1/.>H/%2#A0%420%/#F0%
79.<4#E% #90#% #<H% A.EDF0B% #<H% 90190/0<4% 4$1>:#E% /4$E><=% 490<H/% /00<% ><% #D4.F.I>E0% !#<H%
9#:0:#9,% H0/>=<(% O20% 7DEE% 0EE>14>:% /2#10% #EE.K/% 7900% 7E.K% D<H09% 420% A02>:E0B% K2 >E0%42 0% /0F>%
0EE>1/.>H% /2#10% #110#9/% 4.% IE.:J% 420% 7E.K% D<H09% 420% :#9(% [.42% /4$E><=% #119.#:20/%:#<%
0A0<4D#EE$%90/DE4%><%E.K%H9#=%:.<7>=D9#4>.</(%U.K0A09B%K20<%#EE.K><=%F.90%7E.K%D<H09%420%
A02>:E0B%E#9=09% H.K<7.9:0% E0A0E/% :#<% I0% =0<09#40H(% _>42% 420/0% />F1E0% =0.F049>0/B% 420%
/$FF049>:% 0EE>1/.>H% #EE.K/% 7#/409% 7E.K% D<H09% >4B% 90/DE4><=% ><% ><:90#/0H% H.K<7.9:0% !K>42%
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=9.D<H%:E0#9#<:0B%I.42%E>74%#<H%H9#=%K>EE%><:90#/0(%%?.F0%9#:0:#9/%2.K0A09%90E$%.<%420%/0F>N
0EE>1/.>H%19><:>1E0%#<H%49$%4.%/0#E%420%7E.K%D<H09%420%:#9%!0(=(B%D/><=%E#9=0%/1.>E09%><%79.<4,(%M7%
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E.K%190//D90%42090%K>42%/.F0%#DP>E>#9$%7#<%!E>J0%><%#%A#:DDF%:E0#<09,(%O2>/%>H0#%K#/%40/40H%
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%
%%%%
% % %
Figure-4-;770:4%.7%=9.D<H%:E0#9#<:0%.<%420%E>74%#<H%H9#=%:.077>:>0<4/%.7%4K.%=0<09>:%0EE>1/.>H/%
2#A><=% 420% /#F0% K>H42b20>=24% 9#4>.% !'()Y,% #<H% E0<=42b20>=24% 9#4>.% !&(Z,(% 8E/.% F#P>FDF%
42>:J<0//%>/%E.:#40H%#4%'b&9H%E0<=42(%87409%\07(%a(%
%
4.-Vortices-and-flow-separation-
%
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4.% #% /E#<4% #<=E0% .7% #I.D4% &*% H0=B% #4% K2>:2% 1.><4% 420% 490<H% >/% 90A09/0H% !HD0% 4.% A.940P%
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><:90#/0H%/>=<>7>:#<4E$%I$%#HH><=%70<:0/%.<%I.42%/>H0/%!#/%><%T>=%Y:,B%#%19><:>1E0%K>H0E$%D/0H%
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'*,(%O20% 7E.K% ><%H>77D/09/% E>J0% 420% .<0%H01>:40H%><%T>=(% Y:% 7#/:><#40H% 90/0#9:209/% 7.9% F#<$%
$0#9/%#<H%/.F0%F.90%90:0<4%90/DE4/%K090%901.940H%><%\07/(%''%j%'&(%8%:E./09%.I/09A#4>.<%.7%
420% <DF09>:#E% A#ED0/% ><% 42>/% 7>=D90%><H>:#40 % 42#4%H.K <7.9:0% ><:90#/0/% 0A0<% 7.9%A09$% /F#EE%
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420% H9#=% .7% #% :$E><H09%!#<H% 7E.K% /01#9#4>.<,B% ID4%><% :#/0% .7% A02>:E0% #09.H$<#F>:/B% 42>/%
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49#</>4>.<%4.%4D9IDE0<4%7E.K%:#<%90HD:0% 7E.K% /01#9#4>.<% #<H% 42090I$% 90HD:0% H9#=B%4..(%O2>/%
F0#</% 42#4% 420% 0770:4% .7% #% A02>:E0% /2#10% .<% >4/% #09.H$<#F>:% >/% <.4% 0#/>E$% H0409F><0H(%
8<.4209%>F1.94#<4% GD0/4>.<B% K20<% /F#EE09% /:#E0% F.H0E%40/4><=%>/%D/0H%>/R%how will a lower
Reynolds number test compare with actual full-scale performance? A generic answer suggests
that if the flow is attached in the lower Reynolds number case, then it will be attached in the
higher Reynolds number case, too. Therefore the expected effects on automobile aerodynamics
will be fairly small and limited to boundary layer friction effects. However, if the flow is
separated from curved surfaces (such as wheels, wings, etc.) in the lower Reynolds number case,
then, due to reattachments, large differences are possible when comparing this to the larger
Reynolds number case. To demonstrate this sensitivity to the Reynolds number let us use two
simple examples. For the first case, consider the lift coefficient of the symmetric airfoil in Fig. 6
(After Ref. 14, p. 496). Note that the lift slope is not affected and initially, the lift increases in a
linear manner with increasing angle of attack, until a point called “stall” where the flow separates,
resulting in a reduction in the lift of the airfoil. The interesting observation is that with an increase
in the Reynolds number the flow separation (stall) is delayed, and considerably larger lift
coefficients can be generated. The significance of this information can be interpreted as follows:
suppose that a race car wing is developed at a Re number of 0.3 x 106 (using the wing chord for
the length - L in the Reynolds number definition). The maximum lift coefficient is obtained just
before the wing stalls, and the corresponding value in Fig. 6 is about 0.8. However, at a higher
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
*%@/D#EE$B%r%>/%#>9%H0</>4$B%e%>/%#%E0<=42%/:#E0B%@%>/%420%A0E.:>4$%#<H%µ%>/%A>/:./>4$(%
(a) Slanted upper surface
(b) Tapered lower surface
(c) Basic venturi
(d)
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
00.05 0.1 0.15 0.2 0.25 0.3
-CL
CD
h/L
U!
L
h
10o
speed and scale (e.g., at Re = 3.0 x 106) the maximum value of the lift coefficient can be as high
as 1.5! This, of course, is not reflected by the low Reynolds number tests and the vehicle based on
these experiments may end up generating only half of the potential downforce of its wing.%
% % % %
%
Figure 6 Effect of the Reynolds number on the lift coefficient of a NACA 0012 airfoil. After Ref.
14.
The second example, in Fig. 7, shows an isolated stationary wheel placed on the wind tunnel
floor, tested through the critical range (for flow over cylinders) of Re = 0.1 x 106 to 0.3 x 106.
This interesting variation in both the lift and drag coefficients can be related to the changes in the
size of the separated flow region behind the wheel, due to the flow turning fully turbulent. It is
quite remarkable that such a small Reynolds-number increment can change the lift and drag by
more than 50%. So when testing a 1/4-scale model in a wind tunnel at 150 km/hr, and making
decisions about a race car traveling at 300 km/hr, then those two points (based on the wing’s
chord) are exactly at the opposite edges of this Reynolds number range. Consequently, the 1/4-
scale based wing design will be too conservative.
%
% %
Figure 7. Trends in the variation of drag and lift for a stationary wheel versus Reynolds number.
Coefficients are based on wheel frontal area (after Ref. 15).
5.-Methods-to-Generate-Downforce-
%
O20%F#<$%7.9F/% .7% F.4.9%9#:><=%><A.EA0%/49#>=24NE><0%H9#=% /49>1/B%I#<J0H%.A#E/%49#:J/% #<H%
9.#H% :.D9/0/% K>42% FDE4>1E0% 4D9</(% M<% #EF./4% #EE% 420/0% A0<D0/B% /.F0% E0A0E% .7% H.K<7.9:0% >/%
<00H0H%4.%>F19.A0% 4>90%!#<H%A02>:E0,%1097.9F#<:0(% U.K0A09B%420%7.90b#74%#PE0%H>/49>ID4>.<%
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d#=0']B% ><% 2>/% H0/:9>14>.<% .7% #<% .10<NK200E% M<H$% 4$10% 9#:><=% :#9/% E>/4/%420% 7.EE.K><=%
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H.K<7.9:0B%7.9%A#9>.D/%9#:049#:J/R%
%
Downforce(lb@200Mph)- - %F-
\.#H%:.D9/0%%%Y***%%%aY%
?2.94%LA#E%%%%&Y**%%%&Y%
e.<=%LA#E%%%)Y**%%%&Y%
?D109%/100HK#$% % 'Y**%%%&&%
%
Table-1:%O$1>:#E%4.4#E% H.K<7.9:0%#<H%109:0<4%.7%79.<4% H.K<7.9:0% 90GD>90F0<4%7.9%A#9>.D/%
9#:0%49#:J%:.<H>4>.</(%
%
V.KB%420%<DFI09/%><%O#IE0%'%#90%GD>40%E#9=0B%ID4%#4%E.K09%/100H/B%E>J0%'**"12B%H.K<7.9:0%
E0A0E/%K>EE%I0%90HD:0H%I$% a% !90:#EE%42#4%#09.%7.9:0/%><:90#/0%K>42%420%/GD#90% .7% /100H,(%O20%
I#E#<:0%<DFI09/%/2.K<%2090%><%409F/%.7%7.9K#9H%H.K<7.9:0%109:0<4%#90% GD>40%4$1>:#EB%ID4%
#4%E.K09%/100H/%#<H%1#94>:DE#9E$%.<%D<1#A0H%:>9:D>4/B%>4%:#<%90#:2%Y*k(%%\04D9<><=%4.%T>=(%&B%
K2>:2% /2.K/% 42#4% 4$1>:#E% #D4.F.I>E0% /2#10/% 2#A0% 1./>4>A0% E>74B% .<0% :#<% #/J% 420% GD0/4>.<R%
2.K% :#<% E>74% I0% 90HD:0H% .9% 0A0<% 4D9<0H% ><4.% />=<>7>:#<4% E0A0E/% .7% H.K<7.9:0l% O20% F./4%
:.FF.<%F042.H/%D/0H%><%420%9#:><=%><HD/49$%#90R%
0.50 3 5 1•1053
Re
3
51•106
0.60
0.55
0.8
Separation
Point
Width
Diameter
0.6
= 0.28
=
0.2
0.4
CDCD
CL
CL
U!
'( 8HH>4>.<%.7%><A0940H%K><=/%j%42>/%>/% 420%F./4%E.=>:#E%#119.#:2%#<H%K#/%D/0H% .<%420%
7>9/4%9#:0%:#9%42#4%:90#40H%H.K<7.9:0%!O20% 'WZZ%C2#1#99#E%%);%%N%/00%\07(%&B% C2#1409%
Y(,%
)( @/><=% =9.D<H% 0770:4% #<H% D<H09I.H$% H>77D/09/B% #/% /2.K<% ><% T>=(% YH(% V.40% 42#4% 42>/%
K.9J/%I04409%K>42%#%/F..42%D<H0949#$g%
&( C90#4><=%/D:4>.<%D<H09%420%:#9%I$%/0#E><=%420%=#1%I04K00<%420%A02>:E0%I.H$%#<H%420%
9.#H%!#EE%#9.D<H,(%"#<$%/0H#<%I#/0H%9#:0:#9/%!F./4E$%K>42.D4%#%/F..42%D<H0949#$,%
D/0%42>/%19><:>1E0B%#<H%420%E.K%190//D90%>/%.I4#><0H%I$%E0#A><=%420%#74%#90#%.10<%!.7%
:.D9/0% 42>/% #E/.% ><:90#/0/% 420% H9#=,(% 8<% 0E0=#<4% /.ED4>.<% 7.9% 42>/% F042.H% >/% 4.% D/0%
/D:4>.<%7#</% 4.%:90#40%E.K%190//D90%D<H09%420%:#9B%ID4%#/%<.40HB% %>4%>/%<.4%#EE.K0H%><%
F./4%7.9F/%.7%9#:><=(%
a( ?>F1E0%#HHN.</%E>J0%/1.>E09/B%H>A0%#<H% /1E>4409%1E#40/B%A.940P% =0<09#4.9/B%!/.F0%K>EE%
I0%H0/:9>I0H%E#409,B%.9%0A0<%D/><=%420%0P2#D/4%IE.K><=g%
%
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I0/4%H0/:9>I0H%I$%D/><=%/.F0%4$1>:#E%9#:0:#9%0P#F1E0/(%
%
6.-Examples:-Typical-racecar-shapes-
%
d9>.9%4.%/4#94><=%42>/%H>/:D//>.<B%.<0%FD/4%90F0FI09%42#4%#EF./4%#EE%/0:4>.</%.7%F.4.9/1.94/%
#90%=.A09<0H% I$%/.F0%/.94%.7%#%9DE0I..JB%K2>:2%F#$%.9%F#$% <.4%I0%:.F1E040E$%E.=>:#E(%T.9%
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.4209% 2#<H% 420% A02>:E0/% ><% 420% A#9>.D/% :.F104>4>.</% #90% />=<>7>:#<4E$% H>77090<4% ><%
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%
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fans blew air backward thereby reducing the vehicle’s drag. Needless to say that the idea worked
immediately and the car appeared to be significantly faster that the competition. Ironically, the 2J
didn’t win any races (due to mechanical gremlins) and was banned, after only four entries, on
ground of ‘using movable aerodynamic devices’. A few years later the Brabham BT46B suction
car using the same principles (but fans were driven by the engine) entered the 1978 Swedish GP
to win directly out of the box. The story repeats itself and the suction car was banned from racing
in F1 immediately.%
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CL CD
Upper bodywork 0.26 0.09
Undertray+diffusor -1.63 0.14
Front wing -0.89 0.18
Rear wing -0.78 0.26
Front wheels + suspension 0.01 0.10
Rear wheels + suspension -0.06 0.17
Total -3.09 0.94
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As expected the upper bodywork produces a small amount of lift and drag, while wheels drag is
also moderate (indicating a well developed design). In case of the front wing, the numerous
deflector surfaces mounted on the wing and on its side plates probably reduce the separated flow
area behind the front wheel. Similar deflector vanes and plates also reduce the drag on the larger
rear wheels. The undertray downforce, however has the same order of magnitude as the combined
downforce contribution of the front and rear wings. This high level of the undertray downforce is
achieved simply because this is the largest aerodynamic surface and by careful tailoring the
underbody vortex flow, ground clearance and rake. In Ref. 30, Toet also shows a force
breakdown for the rear wing components, which consists of a two element upper and a single
element lower surfaces. Quite interestingly, the forward, upper wing element is generating 71%
of the assembly downforce and its flap is responsible for 44% of the assembly drag (only 10% of
downforce). The data also indicates that the lower (rear) wing is producing only 14% of the
assembly’s downforce, but in fact it has a positive effect on the diffuser flow. This is again an
interesting observation, because without the low pressure induced by this lower wing the flow
under the car would be reduced and the undertray/diffuser contribution to downforce will be
reduced, as well.
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15. Cogotti, A., “Aerodynamic Characteristics of Car Wheels,” Int. J. of Vehicle Design,
Technological Advances in Vehicle Design Series, SP3, Impact of Aerodynamics on Vehicle
Design, pp. 173–196, 1983.
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