Bernoulli Equation Calculator

Balance pressure, kinetic, and elevation heads

Bernoulli's equation conserves pressure energy, kinetic energy, and gravitational potential per unit volume along an ideal streamline. This calculator solves pressure at point two from pressure at point one, fluid density, both speeds, both elevations, and gravity. It provides a fast check for nozzles, ideal pipes, and fluid-mechanics exercises before pumps and losses are included.

With upstream pressure 200000 pascals, water density 1000 kilograms per cubic meter, speed rising from two to five meters per second, and equal elevations, downstream pressure is 189500 pascals. The 10500 pascal decrease converts pressure energy into additional kinetic energy. Raising point two would reduce its pressure further under the same stated speeds.

Use Bernoulli only along a valid flow path

The calculation assumes steady, incompressible, inviscid flow along one streamline with no pump, turbine, or heat-work addition between points. Real piping usually needs friction and minor-loss terms, while gases may require compressible-flow analysis. Values are handled in your browser. Use gauge or absolute pressure consistently, because the equation preserves differences but inconsistent references corrupt the result.