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Bernoulli Equation Calculator

Find pressure change when fluid speed changes between two points.

Inputs

Results

Pressure drop P1−P27,500Pa
Pressure drop7.5kPa

Chart

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How to use the bernoulli equation calculator

Find pressure change when fluid speed changes between two points. Enter density, speed at point 1, speed at point 2, height gain in the fields above; the pressure drop p1−p2, pressure drop are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Pressure drop P1−P2 (Pa) = 0.5 × rho × (v2 × v2-v1 × v1)+rho × GRAV × dh
Pressure drop (kPa) = [Pressure drop P1−P2] / 1000

Variables

  • rho — Density (kg/m³)
  • v1 — Speed at point 1 (m/s)
  • v2 — Speed at point 2 (m/s)
  • dh — Height gain (m)

Worked example

With density = 1000 kg/m³, speed at point 1 = 1 m/s, speed at point 2 = 4 m/s, height gain = 0 m, the calculator gives pressure drop p1−p2 ≈ 7,500 Pa; pressure drop ≈ 7.5 kPa.

Frequently asked questions

What is the formula for the bernoulli equation calculation?

Pressure drop P1−P2 (Pa) = 0.5 × rho × (v2 × v2-v1 × v1)+rho × GRAV × dh. Pressure drop (kPa) = [Pressure drop P1−P2] / 1000. Here rho is density (kg/m³), v1 is speed at point 1 (m/s), v2 is speed at point 2 (m/s), dh is height gain (m).

What inputs do I need for the bernoulli equation calculator?

You need density in kg/m³, speed at point 1 in m/s, speed at point 2 in m/s, height gain in m. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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