PEP 294: Lecture Notes

XV. Fluid Biomechanics

1. Buoyancy (pp. 510-514)

Buoyant force:

- vertical force (upward) acting on an object immersed in a fluid

 

Archimedes' Principle:

- buoyant force is equal to the weight of the fluid displaced by the body

- (volume)(density of fluid)

 

- standard unit: N

- center of volume = center of buoyancy

 

Flotation:

- flotation: max buoyant force >= weight

- equilibrium when buoyant force = weight

- center of gravity vs. center of buoyancy

 

2. Drag (pp. 514-523)

Drag vs. Lift:

- drag: braking force acting on the object in the direction opposite to the motion

- lift: force acting on the object in the direction perpendicular to motion

 

Drag:

- proportional to (velocity)2

 

- surface drag:

(a) due to skin friction

(b) smoothness of the surface: texture, hair, etc.

(c) viscosity

 

- form drag:

(a) due to pressure differential

(b) streamlining

 

3. Lift (pp. 523-530)

Lift:

- force acting in the direction perpendicular to the motion

- proportional to (velocity)2

 

Angle of Attack:

- lift/drag ratio

- example: ski jumping

 

Magnus Effect:

- lift force created by spin

- causes curved path