Fluid Dynamics summary

Fluid Dynamics summary

 

 

Fluid Dynamics summary

Fluid Dynamics

  •  All athletic events take place in a fluid environment
  • water (swimming), air (cycling), both (water polo)
  •  
  • Drag and lift forces are perpendicular to each other, produce different effects, and are affected by different factors

 

 

 

 

 


  • Flow velocity

 

Fluid Drag Forces

  • Two types:

 

  • Both skin friction and profile drag are proportional to relative flow velocity, cross-sectional area, shape of object, smoothness of surface, and density of liquid

Skin Friction Drag

  •  Caused by the fluid tending to rub (shear) along the surface of the body
  •  
  • The layer of fluid next to the skin sticks to the body; however, the next layer is towed along and therefore slides relative to the innermost layer
  •  
  •  
  •  

 

Laminar flow

  • The smooth, layered, flow pattern of a fluid around an object with no disturbance
  •  

 

 

 

Profile Drag

  • The main form of drag in skiing, cycling, running , all projectiles events, and swimming
  •  

 

  • Characterized by turbulent flow in which the pressure on the leading surface of a body is greater than the pressure on the trailing surface 

Turbulent flow

  •  

 

  • This causes a large, turbulent, low-pressure zone to form behind the object
  • The region of low pressure increases the amount of work done on the object
  •  

 

Fluid Lift Forces

  •  Always directed perpendicular to the flow velocity
  •  
  • More air flows over the upper curved surface than the lower flat surface, such that the difference in velocity across the surfaces results in a pressure difference between the two sides
  • The external force resulting from the pressure difference is perpendicular to the direction of flow velocity, and can change the motion of the object
  • Bernoulli’s principle

 

 

Angle of Attack

  • Refers to the tilt of an object relativeto the flow velocity
  •  
  • Function of the shape of an object and the flow velocity

  • If the angle of attack increases too much, it approaches a critical maximum angle (stall angle), beyond which the lift force decreases as the drag force becomes dominant

 

The Magnus Effect

  •  

 

 

  • The changes in flight path are always perpendicular to the flow velocity of the projectile

 

Why a Curveball Curves (topspin, under spin, sidespin)

Body Balance and Stability Control
 

  •  
  • Generally depends upon the location of the centre of mass and how stable that centre of mass is
  • The stick figure model is useful

 

 

Equilibrium

  • The state of a system that is not experiencing any change in its direction or speed
  • Static Equilibrium:
  • Dynamic Equilibrium:

 

Balance

  • Process whereby the body’s state of equilibrium is controlled for a given purpose
  •  

 

  • If the line of gravity passes through some part of the body’s base of support, the body will be balanced

Stability

  • A measure of the difficulty with which equilibrium can be disturbed
  •  

 

  • There is a trade-off between maximizing stability and acquiring speed off a mark

 

 

 
Increasing Stability in Static Equilibrium

  •  
  • Increase the inertia of the body
  •  

 

  • Increase the distance between the point where a vertical line from the centre of mass intersects the base of support

Increasing Stability in Dynamic Equilibrium

  • Enlarge the body’s base of support in the direction of the external horizontal forces
  • Adopt a starting position in which the centre of pressure is close to the edge of the base of support whenever a quick acceleration is important
  • When slowing down or reversing directions in running, lean backwards but keep normal frictional forces high to prevent slipping
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Source: http://www.dpcdsb.org/NR/rdonlyres/BB1CF9BA-5940-4CBF-A562-ACF4181E6853/106220/OH5FluidDynamicsstudent.doc

Web site to visit: http://www.dpcdsb.org/

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Fluid Dynamics summary

 

Fluid Dynamics summary

 

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Fluid Dynamics summary

 

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Fluid Dynamics summary