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Introduction to Sports Biomechanics: Analysing Human Movement ...

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Lift forces<br />

CAUSES OF MOVEMENT – FORCES AND TORQUES<br />

dimension of the object perpendicular <strong>to</strong> the flow direction <strong>to</strong> the dimension along the<br />

flow direction. Long, thin wings on gliders minimise the induced drag whereas a javelin<br />

has entirely the wrong shape for this purpose.<br />

If an asymmetry exists in the fluid flow around a body, the fluid dynamic force will act<br />

at some angle <strong>to</strong> the direction of motion and can be resolved in<strong>to</strong> two component<br />

forces. These are a drag force opposite <strong>to</strong> the flow direction and a lift force perpendicular<br />

<strong>to</strong> the flow direction. Such asymmetry may be caused in three ways. For a discus<br />

and javelin, for example, it arises from an inclination of an axis of symmetry of the<br />

body <strong>to</strong> the direction of flow (Figure 5.8(a)). Another cause is asymmetry of the body<br />

(Figure 5.8(b)); this is the case for sails, which act similarly <strong>to</strong> the aerofoil-shaped wings<br />

of an aircraft, and the hands of a swimmer, which function as hydrofoils. The Magnus<br />

effect (Figure 5.8(c)) occurs when rotation of a symmetrical body, such as a ball,<br />

produces asymmetry in the fluid flow.<br />

Swimmers use a mixture of lift and drag forces for propulsion, with their hands<br />

acting as rudimentary hydrofoils. A side view of a typical path of a front crawl<br />

swimmer’s hand relative <strong>to</strong> the water is shown in Figure 5.9(a). In the initial and final<br />

portions of the pull phase of this stroke (marked ‘i’ and ‘f’ in Figure 5.9(a)) only the lift<br />

force (L) can make a significant contribution <strong>to</strong> propulsion. In the middle region of the<br />

pull phase (marked ‘m’), the side view would suggest that drag (D) is the dominant<br />

contribu<strong>to</strong>r. However, a view from in front of the swimmer (Figure 5.9(b)) or below<br />

(Figure 5.9(c)) shows an S-shaped pull pattern in the sideways plane. These sideways<br />

movements of the hands generate significant propulsion through lift forces perpendicular<br />

<strong>to</strong> the path of travel of the hand (Figure 5.9(c)). Swimmers need <strong>to</strong> develop a<br />

‘feel’ for the water flow over their hands, and <strong>to</strong> vary the hand ‘pitch’ angle with respect<br />

<strong>to</strong> the flow of water <strong>to</strong> optimise the propulsive forces throughout the stroke. The shape<br />

of both oars and paddles suggests that they also can behave as hydrofoils. In rowing, for<br />

example, the propulsive forces generated are a combination of both lift and drag<br />

components and not just drag. The velocity of the oar or paddle relative <strong>to</strong> the water is<br />

the crucial fac<strong>to</strong>r. If this is forwards at any time when the oar is submerged, the drag is<br />

in the wrong direction <strong>to</strong> provide propulsion. Only a lift force can fulfil this function<br />

(see Figure 5.9). The wing paddle in kayaking was developed <strong>to</strong> exploit this propulsive<br />

lift effect.<br />

Many ball sports involve a spinning ball. Consider, for example, a ball moving<br />

through a fluid, and having backspin as in Figure 5.8(c). The <strong>to</strong>p of the ball is moving<br />

in the same direction as the air relative <strong>to</strong> the ball, while the bot<strong>to</strong>m of the ball is<br />

moving against the air stream. The rotational motion of the ball is transferred <strong>to</strong> the<br />

thin boundary layer adjacent <strong>to</strong> the surface of the ball. On the upper surface of the ball<br />

this ‘circulation’ imparted <strong>to</strong> the boundary layer reduces the difference in velocity<br />

across the boundary layer and delays separation. On the lower surface of the ball, the<br />

boundary layer is moving against the rest of the fluid flow, known as the free stream.<br />

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