Biomechanics and Medicine in Swimming XI
Biomechanics and Medicine in Swimming XI
Biomechanics and Medicine in Swimming XI
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Aquatic Space Activities – Practice Needs Theory<br />
ungerechts, B., Klauck, J².<br />
University of Bielefeld, Germany<br />
2 German Sport University Cologne, Germany<br />
Aquatic Space Activities (ASA) is a collective term for activities <strong>in</strong><br />
water such as: Competitive – Recreational – Masters swimm<strong>in</strong>g, F<strong>in</strong>swimm<strong>in</strong>g,<br />
Triathlon, Scuba-div<strong>in</strong>g or Water-exercises. ASA must obey<br />
flow physics. Traditionally, flow physics <strong>in</strong> aquatic sports is conf<strong>in</strong>ed to<br />
steady conditions assum<strong>in</strong>g that the flow velocity is constant <strong>and</strong> the<br />
body is rigid. It is not new <strong>in</strong>formation that this is not <strong>and</strong> was never the<br />
case <strong>in</strong> human swimm<strong>in</strong>g. The fact is that the limbs change motion <strong>in</strong><br />
all ASA which causes unsteady flow conditions. Unsteady flow dem<strong>and</strong>s<br />
closer consideration of water-motion <strong>in</strong>duced by motion of the limbs’.<br />
The purpose of this paper is to <strong>in</strong>troduce some challeng<strong>in</strong>g <strong>in</strong>formation<br />
concern<strong>in</strong>g unsteady flow conditions <strong>and</strong> consequences for practise.<br />
Key words: unsteady flow, momentum-<strong>in</strong>duced propulsion, jet-flow<br />
IntroductIon<br />
Aquatic Space Activities (ASA) focuses attention on the <strong>in</strong>teraction<br />
between the actively mov<strong>in</strong>g body (or its parts) <strong>and</strong> water-mass set <strong>in</strong><br />
motion. ASA also deals with the mutual effects of buoyancy <strong>and</strong> the<br />
reaction to <strong>in</strong>duced water-motion. Buoyancy is a natural reaction due to<br />
displacement of water-mass of any body, submerged <strong>in</strong> water. Induced<br />
water-motion or water flow is a physical reaction due to displacement<br />
of water-mass of any submerged body mov<strong>in</strong>g relative to the surround<strong>in</strong>g<br />
water.<br />
Reactions to <strong>in</strong>duced water-motion have some contra-<strong>in</strong>tuitive features.<br />
A simple drag approach suggested by most books on swimm<strong>in</strong>g<br />
does not expla<strong>in</strong> swimm<strong>in</strong>g speed sufficiently. The h<strong>and</strong>s’ actions are not<br />
most effective if water resistance is at a maximum (the term effective<br />
focuses on the result of an action). Intuition may tell us that e.g. a h<strong>and</strong><br />
is mov<strong>in</strong>g the same block of water either back or mov<strong>in</strong>g new blocks<br />
by chang<strong>in</strong>g h<strong>and</strong> motion. This is not the complete story. What really<br />
happens is (completely) different. Accord<strong>in</strong>g to the law of conservation<br />
of mass, <strong>in</strong> a flow, water cannot be pushed away <strong>in</strong> relation to the surround<strong>in</strong>g<br />
water-mass. Nevertheless it is true that, where there is one<br />
solid body (like a swimmer’s h<strong>and</strong>) there cannot be another body. However,<br />
where does mass of displaced water go? The aim of this paper is to<br />
<strong>in</strong>troduce some facts of flow physics, beyond our underst<strong>and</strong><strong>in</strong>g of the<br />
exist<strong>in</strong>g biomechanical aspects, <strong>and</strong> relevant for a better underst<strong>and</strong><strong>in</strong>g<br />
of aspects of aquatic space activities <strong>and</strong> the reaction of water-set-<strong>in</strong>motion.<br />
Methods<br />
Swimm<strong>in</strong>g text books mostly provide a chapter related to biomechanical<br />
background of activities <strong>in</strong> aquatic space. It is curious that over the<br />
decades, the content of this chapter, <strong>in</strong>clud<strong>in</strong>g pictures has not really<br />
changed from the very first publication of the author <strong>and</strong> coach “Doc”<br />
Counsilman. Obviously these text books were so conv<strong>in</strong>c<strong>in</strong>g worldwide<br />
that later authors had no reason to change this. In nearly the same<br />
decades numerous studies have been presented <strong>in</strong> the congress series of<br />
biomechanics <strong>and</strong> medic<strong>in</strong>e <strong>in</strong> swimm<strong>in</strong>g, it seems as if their outcome<br />
is of m<strong>in</strong>or relevance.<br />
Dur<strong>in</strong>g the same time period <strong>in</strong> parallel, much research was done <strong>in</strong><br />
the field of swimm<strong>in</strong>g animals. Researchers <strong>in</strong> this field, start<strong>in</strong>g with<br />
similar assumptions to their colleagues <strong>in</strong> human swimm<strong>in</strong>g, soon became<br />
aware that the steady flow approach was not helpful <strong>in</strong> answer<strong>in</strong>g<br />
their questions. The alternative approach, mostly based on concepts published<br />
by Lighthill, opened a quite new route to structur<strong>in</strong>g the research<br />
<strong>and</strong> to study unknown hydrodynamic features related to self-<strong>in</strong>duced<br />
chaPter2.<strong>Biomechanics</strong><br />
propulsion. Some of these results have held <strong>and</strong> can act as a guidel<strong>in</strong>e <strong>in</strong><br />
swimm<strong>in</strong>g literature, because the myths <strong>and</strong> the impact on swimm<strong>in</strong>g<br />
technique are considerable. Coaches <strong>and</strong> researchers may mislead their<br />
swimmers when still follow<strong>in</strong>g the ancient concepts.<br />
results<br />
Let’s consider the properties of water mass. It has long been known that<br />
aquatic space is characterized, like any body, by mass <strong>and</strong> other features.<br />
Firstly, water has the property to change shape. Any body, e.g. the h<strong>and</strong>s<br />
or feet, even when mov<strong>in</strong>g relative to water, displaces some water-mass.<br />
This means the motion of the water (<strong>in</strong> the vic<strong>in</strong>ity to the mov<strong>in</strong>g body)<br />
is changed <strong>and</strong> flow is created: if water is at rest (before it is displaced)<br />
this is also true: what counts is the relative change of motion. S<strong>in</strong>ce the<br />
relative motion between the body <strong>and</strong> water is essential, research on<br />
aquatic activities executed <strong>in</strong> a flume also applies to activities <strong>in</strong> a pool.<br />
Pressure is an important feature of water at rest <strong>and</strong> <strong>in</strong> motion: the<br />
weight of the water mass displaced by a body submerged <strong>in</strong> water exerts<br />
a force due to water pressure <strong>in</strong> an upward direction, called buoyancy.<br />
A body, submerged <strong>and</strong> mov<strong>in</strong>g relative to water produces a change<br />
of pressure <strong>and</strong> due to that change “some” particles are set <strong>in</strong>to motion.<br />
Based on the cont<strong>in</strong>uity-pressure-concept, the pressure causes <strong>and</strong><br />
ma<strong>in</strong>ta<strong>in</strong>s a flow, a cont<strong>in</strong>uous movement of the fluid from one place to<br />
another. Accord<strong>in</strong>g to Euler (1707 - 1783) particles-<strong>in</strong>-motion (i) possess<br />
mass, weight, acceleration, velocity, etc. <strong>and</strong> (ii) occupy some space<br />
<strong>in</strong> the vic<strong>in</strong>ity of the mov<strong>in</strong>g body (whereas the rest of the water-mass<br />
rema<strong>in</strong>s undisturbed).<br />
This space of particles-<strong>in</strong>-motion is full of vectors <strong>and</strong> scalars, form<strong>in</strong>g<br />
vector fields.<br />
Fig 1 Flow<strong>in</strong>g water: sketch by Leonardo Da V<strong>in</strong>ci, <strong>and</strong> today:<br />
cm.math.uniuc.edu/242syl.php<br />
Vector fields allow for transitional <strong>and</strong> rotational motion of the particles<br />
(the particle itself does not rotate, but follows a circular path), <strong>in</strong>dicat<strong>in</strong>g<br />
that vorteses form <strong>and</strong> the effects <strong>in</strong>duced by vortex forms are likely<br />
to occur. By <strong>in</strong>dependent variations <strong>in</strong> time <strong>and</strong> space, the flow is to a<br />
certa<strong>in</strong> extent “unpredictable” (also when the displac<strong>in</strong>g action causes<br />
“un-steady” flow conditions). From practical experience it is known that<br />
swimmers claim they sometimes feel a “different slip” although us<strong>in</strong>g the<br />
same biomechanical actions.<br />
Internal friction exists between particles, measured as viscosity,<br />
which is the cause of pressure change. The change of pressure is mediat<strong>in</strong>g<br />
between any displac<strong>in</strong>g action of any body <strong>and</strong> particles-<strong>in</strong>-motion;<br />
hence, the <strong>in</strong>teraction of the limbs <strong>and</strong> water-mass means pressurechange.<br />
In addition, viscosity causes repulsive actions. The reaction to<br />
this repulsive action is mostly measured by the established u²-law of resistance<br />
– provided that the flow rema<strong>in</strong>s unaffected by any body (called<br />
a steady situation).<br />
Momentum-<strong>in</strong>duced propulsion <strong>in</strong> aquatic space ie the act of displac<strong>in</strong>g<br />
a whole body <strong>in</strong> aquatic space, is related to a change of motion<br />
of water-mass. The change of motion of any mass is called momentum.<br />
Galileo (1565-1642) already po<strong>in</strong>ted out that momentum is the property<br />
by which the motive agency moves <strong>and</strong> the body resists. Newton<br />
(1642-1727) claimed that displacement means impart<strong>in</strong>g momentum to<br />
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