1. Fluids in Motion
Includes equation of continuity (mass flow rate) and Bernoulli’s equation

2. Fluids in Motion: ideas for an “ideal fluid”
Nonviscous: no friction between adjacent layers
Incompressible: density is constant
Motion is steady: velocity, density, pressure at a given point don’t change
Moves without turbulence

3. Fluids in Motion: “continuity”
Equation of continuity
A1v1 = A2v2 where A = cross-sectional area and v = fluid velocity.
This just means that the amount of fluid moving in any “section of pipe” must remain constant.
Av = volumetric flow = m3/sec

4. Fluid Continuity

5. Fluids in motion: Bernoulli’s equation
As a fluid moves along if it changes speed or elevation then the pressure changes and vice versa.
Bernoulli’s equation is really just conservation of energy for the fluid

6. Fluids in motion Bernoulli’s equation. P + ½ ρv2 + ρgh = constant
Bernoulli’s equation shows that as the velocity of a fluid speeds up it’s pressure goes down…..this idea used in airplane wings and frisbees (difference in pressure leads to upward force we call Lift)

7. Bernoulli’s Equation
Faster moving air = less pressure on top

8. Bernoulllie’s Equation
Using Bernoulli’s

9. Burnoooi’s Principle
Toricelli’s Theorem