The Bernoulli Equation Calculator applies Bernoulli’s equation between two stations of an incompressible, steady, inviscid flow and solves for whichever variable is left blank.
How to Use Bernoulli Equation Calculator
- Choose the unknown — any of P1, P2, v1, v2, h1, h2.
- Enter the remaining variables — pressures in Pa, velocities in m/s, elevations in m and density in kg/m³.
- Read the unknown — the calculator solves Bernoulli’s equation algebraically.
- Verify the energy balance — total head should be equal at both stations under the ideal assumption.
Formula & Theory — Bernoulli Equation Calculator
P1 + ½·ρ·v1² + ρ·g·h1 = P2 + ½·ρ·v2² + ρ·g·h2
Total head: H = P/(ρ·g) + v²/(2·g) + hUse Cases for Bernoulli Equation Calculator
- Pipe flow analysis — relate pressure changes to velocity and elevation.
- Aerodynamics — explain lift on wings and venturi effects.
- Hydraulic engineering — design weirs, spillways and pump intakes.
- Education — illustrate the conservation of mechanical energy in fluids.