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Bernoulli Pressure Change

Estimate downstream pressure from speed and elevation changes.

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Local calculations. Results are estimates, not professional advice.

Downstream pressure

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Steady, incompressible, inviscid flow along one streamline; no pump, turbine or pipe loss. Does not check cavitation.

Formula

P₂=P₁+½ρ(v₁²−v₂²)−ρg(h₂−h₁)

Estimate downstream pressure from speed and elevation changes.

Worked example

Density (kg/m³)
1000
Upstream absolute pressure (Pa)
200000
Upstream speed (m/s)
2
Downstream speed (m/s)
4
Downstream elevation minus upstream (m)
1
Gravity (m/s²)
9.80665
Downstream pressure
184,193.35 Pa

Scope and limitations

Steady, incompressible, inviscid flow along one streamline; no pump, turbine or pipe loss. Does not check cavitation.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 4e08cbeb364e · Example checked:

Methodology

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