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Bernoulli Equation Calculator — Pressure, Velocity & Elevation Head
Compare two points in steady incompressible flow with Bernoulli’s equation and solve the missing downstream pressure or velocity from pressure, speed and elevation.
Last updated: September 17, 2026
Results
Enter P1, v1, both elevations and positive density
Formula, example and assumptions
P₁+½ρv₁²+ρgz₁=P₂+½ρv₂²+ρgz₂ for the ideal no-loss model.
For equal elevations, increasing flow speed requires lower static pressure when losses and machine work are neglected.
- The base equation assumes steady, incompressible, inviscid flow along a streamline.
- Pump/turbine work and friction/head losses are not included in this ideal form.
Frequently asked questions
When is Bernoulli’s equation inaccurate?
Real systems with substantial friction, pumps, turbines, compressibility or unsteady flow require additional energy terms or a different model.
Can this explain pressure drop through a restriction?
It captures the ideal pressure-velocity tradeoff, but real restrictions also create irreversible losses that must be modeled separately.