PHYS 1750: SELECTED TOPICS in PHYSICS
LECTURE 20. Fluid Dynamics.
11.i. | Flow: | ||
Laminar vs. turbulent flow | |||
11.1. | The Continuity Equation | ||
1. | Flow rate: FV = V / Δt m3/s | ||
or, more properly Fm = m / Δt = ρV / Δt kg/s | |||
2. | V = Δs A, where Δs = distance along flow, A = area of flow | ||
3. | Δs / Δt = v | ||
4. | ρvA = Constant | ||
11.2. | Bernoulli's equation: P + ρv2/2 + ρgh = Constant | ||
a. | Conservation of energy | ||
b. | Static fluids: v = 0; becomes hydrostatic equilibrium | ||
c. | Dynamic "Lift" | ||
11.3. | General Applications: Pipes, dams, and holes |