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

Wind tunnel visualization of air flow streamlines AIR FLOW

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

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

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

Bernoulli's Principle

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

Flow over an airplane wing

11.10 Applications of Bernoulli’s Equation

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”)

POISEUILLE’S LAW