The force acting on the soccer ball was measured by
the Sting-type 6-component force detector (LMC-
61256, Nissho Electric Works). The aerodynamic
force measured in this experiment was converted
into the drag coefficient (C
d
), lift coefficient (C
l
) and
side force coefficient (C
s
) as shown in equations (1),
(2) and (3).
=
(1)
=
(2)
=
(3)
Here, the density of air was taken to be ρ = 1.2
kg/m
3
, U is the flow velocity and the projected area
of the soccer ball was taken as A = π × 0.112 =
0.038m
2
.
3 RESULTS
Figure 2: Change in Cd values for the 6 types of soccer
balls having different surface forms.
Figure 2 shows the drag characteristic curve of the
ball for soccer balls consisting of 32, 12 and 6
panels. From the aerodynamic coefficients of the
balls it is seen that the aerodynamic drag tends to
drop faster in the case of the dimple type soccer
balls than in the case of the no dimple type. Further,
the 32 panel dimple type soccer ball showed the
smallest value of about 0.10 (Re = 2.3 × 10
5
) for the
supercritical drag coefficient and the 12 panel
dimple type ball showed a value of about 0.15 (Re =
2.1 × 10
5
). In the case of the no dimple type ball, the
value for the 32 panel ball was about 0.13 (Re = 3.5
× 10
5
) and for the 12 panel ball it was about 0.12 (Re
= 3.5 × 10
5
). The 6 panel ball without dimples
showed a value of about 0.12 (Re = 3.4 × 10
5
).
Figure 3: Force variation in lift and side forces due to
wind speed (30 m/s).
In a powerful shot at wind speed as high as 30 m/s
(Figure 3), the variation in lift force and side force in
the case of the 32 panel no dimple type ball is 2.5 N
and 2.6 N respectively, while it is 1.3 N and 1.7 N in
the case of the 32 panel dimple type ball. Thus, the
value is smaller for the dimple type than the no
dimple type ball and is believed to provide a
relatively greater sense of stability. Further, the
variation in lift force and side force is smaller for the
12 panel type of ball compared to other types,
showing relatively greater stability.
4 DISCUSSION
First, with regard to the impact of dimples on the
drag of the soccer ball, it was found that the drag
acting on the ball changed depending on the wind
speed interval (Figure 2). In the intermediate speed
interval (10 m/s ~ 20 m/s), the dimple type of soccer
ball has a relatively smaller drag (resistance)
compared with the no dimple type and therefore the
dimple type ball is perceived to be faster. On the
contrary, in the high speed interval (25 m/s ~ 35
m/s) such as while taking a shot, the no dimple type
showed a smaller drag value. Thus it is conceivable
that the dimple type ball flies faster in the
intermediate speed and the no dimple type flies
relatively faster in the high speed interval. Further,
with regard to the impact of dimples on the lift and
side forces of the ball, the dimple type ball was
observed to have relatively less force variation than
the no dimple type (Figure 3). In particular, this
study has made clear the fact that changing the
texture of the ball surface changes the aerodynamic
characteristics of the ball. This suggests that, by
considering the change in aerodynamic
characteristics obtained thus far by modifying the
number and shape of the panels together with the
modification in the surface form, soccer balls with
even more diverse aerodynamic characteristics can
be developed.