Bernoulli's Principle
P1 + (1/2)·ρ·v1^2 + ρ·g·h1 = P2 + (1/2)·ρ·v2^2 + ρ·g·h2
What it says
Bernoulli's principle states that for a steady, incompressible, inviscid flow an increase in fluid speed is accompanied by a decrease in pressure or height.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
P2 | Downstream pressure (Pa) | M L^-1 T^-2 |
P1 | Upstream pressure (Pa) | M L^-1 T^-2 |
ρ | Fluid density (kg/m^3) | M L^-3 |
v1 | Upstream speed (m/s) | L T^-1 |
v2 | Downstream speed (m/s) | L T^-1 |
h1 | Upstream height (m) | L |
h2 | Downstream height (m) | L |
g | Gravitational acceleration (9.80665 m/s^2) | L T^-2 |
Work it out
Enter what you know. No account needed.
Connects to
Filed under Fluid dynamics · derive through it in the explorer