How to Calculate Bernoulli
What is Bernoulli?
Bernoulli's equation relates pressure, kinetic energy, and potential energy in flowing fluids. It explains how airfoils generate lift and how pumps function.
Formula
The calculator applies P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂
Step-by-Step Guide
- 1Enter pressure, velocity, height, and fluid density at two points
- 2The calculator applies P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂
- 3Results show energy conservation in fluid flow
Worked Examples
Input
P₁ = 101.3 kPa, v₁ = 0, z₁ = 0, P₂ = ?, v₂ = 10 m/s, ρ = 1 kg/m³
Result
P₂ ≈ 101.3 - 50 = 101.25 kPa
Lower pressure in moving fluid
Common Mistakes to Avoid
- ✕Applying Bernoulli to compressible gases without corrections
- ✕Neglecting elevation terms in vertical flow
Frequently Asked Questions
Why does faster-moving water have lower pressure?
Energy is conserved; faster kinetic energy means less pressure potential energy.
How do airplane wings use Bernoulli's principle?
Wings are curved to make air flow faster on top, creating lower pressure and generating lift.
Ready to calculate? Try the free Bernoulli Calculator
Try it yourself →