Conservation of momentum

1
Introduction
2
Conservation of momentum
3
Flows and force balances

• 1. Slow flow in a slot
• 2. Oscillating slow flow
• 3. Small-amplitude waves
• 4. Fast flow away from an object
• 5. Fast flow near an object

• a. inertia pressure/gravity
• b. viscous inertia pressure
• c. viscous inertia
• d. viscous pressure

4
Viscous flow in a slot or pipe
U
Flow driven by a pressure gradient
Flow driven by a moving wall
5
Viscous slot flow extensions
Glacier movement
Groundwater
Flow in the mantle
6
Viscous slot flow extensions
Particle settling
Swimming of organisms
Sediment transport
7
Turbulent flow in a slot or pipe
Transition to turbulence
Law of the wall
8
Turbulent pipe flow extensions
Open channel flow
Glacier movement
Municipal hydraulics
Flow in vegetated channels
9
Unsteady viscous flow
U
U
Oscillating plate
Impulsively started plate
10
Unsteady viscous flow extensions
River mixing
11
Waves
Surface waves of small amplitude
12
Waves extensions
Wave spectra
Internal waves
Solitary waves
13
Boundary layers
14
Boundary layers extensions
Gravity currents and salt wedges
Biofilms
Jets plumes
Diffusive BL in a lake