Physics

Bernoulli Pressure Calculator

Find downstream pressure from upstream pressure, velocities and elevations.

SI units shown beside each fieldIdeal model explained below
Physics lab
Physics lab

Use the units beside each input and review the model assumptions.

See the method

Define your system

Runs on your device

Your calculated quantity

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter upstream pressure, fluid density, upstream speed, downstream speed, upstream elevation, downstream elevation.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

P2=P1+ρ(v1²−v2²)/2+ρg(z1−z2), using g=9.80665 m/s².

A WORKED EXAMPLE

Using upstream pressure = 200000 Pa, fluid density = 1000 kg/m³, upstream speed = 2 m/s, downstream speed = 4 m/s, upstream elevation = 0 m, downstream elevation = 1 m, the result is 184193.35 Pa. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Steady incompressible flow along a streamline with no pumps or losses. Keep gauge or absolute pressure convention consistent.

What to keep in mind

Steady incompressible flow along a streamline with no pumps or losses. Keep gauge or absolute pressure convention consistent. An idealized educational model using the stated SI units. Real systems may need additional forces, losses or experimental measurements. Not a safety or equipment specification.

Common questions

How do I use this bernoulli pressure calculator?

Find downstream pressure from upstream pressure, velocities and elevations. Enter upstream pressure in Pa, fluid density in kg/m³, upstream speed in m/s, downstream speed in m/s, upstream elevation in m, downstream elevation in m. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Steady incompressible flow along a streamline with no pumps or losses. Keep gauge or absolute pressure convention consistent.

Methodology maintained by ClarityKit. How these tools are built and checked.