Fluid dynamics continued

1
Fluid dynamics continued

• Comments about flow viz lab
• Conservation of energy, continued
• Examples
• Other forms
• Example of rotation, if possible

2
Lab visualization experiments

• Laminar/turbulent pipe flow
• Flow moves from left to right in pipe
• Dye is continuously injected at the left while
  flow velocity steadily increases
• Re?
• Watch transition
  to turbulence

3
Lab visualization experiments

• Streaklines (streamlines if steady) over shapes
• Flow moves from right to left
• Dye is continuously injected at points on the
  right
• First cylinders
• Then, airfoil
  Watch dependence on
  
  attack angle

4
Visualization helps us understand natural
phenomena

• Movies shown
• Flow past cylinder
• Oscillating sign

5
Back to conservation of energy

• Conservation of momentum
• Conservation of energy

6
Pulling cons. of energy together

• e energy/mass
• net heat into system / control
  volume (cv)
• net work by system / cv on
  surroundings

7
Visualization
8
Back to conservation of energy

• For steady state flow
• With no work/heat in or out
• And no internal change of energy (change in
  temperature, etc.)

9
Careful energy treatment across pipe with
viscosity
Consider a bit more honest (mathematically
correct) form (CScontrol surface)
10
Careful energy treatment across pipe with
viscosity
Consider a bit more honest (mathematically
correct) form (CScontrol surface)
11
Careful energy treatment across pipe with
viscosity
Consider a bit more honest (mathematically
correct) form (CScontrol surface)