著者

浅井 武 瀬尾 和哉 小林 修

出版者

一般社団法人 日本体育学会

雑誌

体育学研究 (ISSN:04846710)

巻号頁・発行日

vol.52, no.1, pp.29-38, 2007-01-10 (Released:2007-04-19)

参考文献数

24

被引用文献数

3 3

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When the boundary layer of a sports ball undergoes the transition from laminar to turbulent flow, a drag crisis occurs whereby the drag coefficient (Cd) rapidly decreases. However, the aerodynamic properties and boundary-layer dynamics of a soccer ball are not well understood. Here we showed that the critical Reynolds number (Recrit) of a soccer ball was 2.2 - 3.0 × 105. Wind-tunnel testing, along with visualization of the dynamics of the boundary layer and the trailing vortex of a ball in flight clearly demonstrated that both non-spinning and spinning curved balls had low Cd values in the supercritical region. We also showed that the Recrit of a soccer ball was lower than that (approximately 3.5 - 4 × 105) of a smooth sphere, due to the effects of its panels; this indicated that the aerodynamic properties of a soccer ball were between those of a smooth ball and a golf ball. Lateral images taken during high-speed kicking of a spinning curve ball (26 m/s; 8 rps) revealed that the separation point was approximately 120° from the front-stagnation point. In addition, the boundary layer between the top and bottom surfaces of the ball became turbulent. Top-view images taken during curved kicking (27 m/s; 7 rps) showed vortex deflection due to the effects of a relative difference in fluid speed caused by the spinning. The curvature of the ball was largely attributed to a lateral force generated by vortex counteraction. However, although the separation point showed left-right asymmetry in relation to the direction of travel (top-bottom symmetry on the images), it was approximately 116° from the front-stagnation point, which was similar to the separation angle during high-speed kicking of a non-spinning ball. In addition, the boundary layer became turbulent and the vortex region shrank during high-speed kicking of a spinning ball.