Bernoulli's Principle

#Physics

$\displaystyle P_{1}+\frac{1}{2}\rho v_{1}^{2}+\rho gh_{1}=P_{2}+\frac{1}{2}\rho v_{2}^{2}+\rho gh_{2}$

Essentially states that faster flowing fluids experience lower pressure
Only for low viscosity/laminar flow systems where conservation of energy applies
$\displaystyle P$ is the absolute pressure of the fluid
$\displaystyle \rho$ is the fluid density
$\displaystyle v$ is the fluid velocity
$\displaystyle g$ is the gravitational acceleration constant
$\displaystyle h$ is the fluid height above some reference point
$\displaystyle \frac{1}{2}\rho v^{2}$ is the dynamic pressure of the fluid
$\displaystyle P+\rho gh$ is the static pressure or gauge pressure of the fluid

Pitot Tubes
Venturi Flow Meter
Airfoils
- Airplane wing lift
- Automotive wing
  - Increases downforce for more normal force/traction
Spoiler
- Disrupts airflow over the top of the car to prevent lift from being generated by fast airflow over the top of the car and slow airflow at the bottom
Drafting
- Cars get sucked together due to airflow being faster between them (less area to travel through, which is the application of the continuity equation), so a lower static pressure is created between the cars