Compute the total pressure of a flowing fluid at a point with Bernoulli's equation P + ½ρv² + ρgh — enter the pressure, density, velocity and height, in any units, and see each term (static, dynamic, hydrostatic) broken out.
Bernoulli's equation expresses conservation of energy for an ideal (incompressible, frictionless) fluid along a streamline: the sum of the static pressure P, the dynamic pressure ½ρv², and the hydrostatic pressure ρgh stays constant. This calculator adds the three at one point to give the total pressure (the Bernoulli constant).
Because the total is fixed, where a fluid speeds up (higher ½ρv²) its static pressure P must fall — the principle behind aerofoil lift, venturi meters and carburettors. Enter values in any units and the calculator converts to SI, showing how each term contributes.
Bernoulli's equation states that for an ideal fluid, P + ½ρv² + ρgh is constant along a streamline — static plus dynamic plus hydrostatic pressure stays the same as the fluid flows.
Because the total P + ½ρv² + ρgh is constant. If velocity v rises, the dynamic term ½ρv² grows, so the static pressure P must fall to keep the sum fixed. This is the Bernoulli effect behind wing lift.
Static pressure P, dynamic pressure ½ρv² (from motion), and hydrostatic pressure ρgh (from height). All three have units of pascals and sum to the total pressure.
It assumes steady, incompressible, frictionless (non-viscous) flow along a single streamline with no energy added or removed. Real flows with turbulence or viscosity deviate from it.