1. Fluid Flow Hydrodynamics Aerodynamics
Bernoulli’s Principle
Poiseuille’s Law

2. Wind tunnel visualization of air flow
streamlines
AIR
FLOW

3. Streamlines and fluid flow
The black lines are the paths that the fluid takes as it flows.
Wider spacing indicates low speed flow, narrow spacing indicates high speed flow
Color indicates pressure
High Low
pressure pressure

4. Bernoulli’s Principle
Fluid flow velocity = v
Fluid pressure = P
 where v is high, P is low
 where v is low, P is high

5. Blowing air over the top of the tube lowers the
air pressure on that side allowing the fluid to rise

6. Bernoulli's Principle

7. Streamlines around a wing
From the perspective of the jet, the air is moving past it
wing
High speed  low pressure
Low speed  high pressure

8. Flow over an airplane wing

9. 11.10 Applications of Bernoulli’s Equation

10. The volume flow rate is given by:
11.11 Viscous Flow
POISEUILLE’S LAW
The volume flow rate is given by:
h is a constant called the viscosity- it is a measure
of the resistance of the liquid to flowing (i. e., “thickness”)

11. POISEUILLE’S LAW