Science
Hydrostatic pressure
Calculate the pressure increase below the surface of a stationary liquid from density and depth; atmospheric pressure is excluded from this gauge value.
Calculators / Science / Bernoulli pressure difference
Bernoulli pressure difference calculator
Estimate pressure change from fluid speed and elevation changes along a streamline.
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Final minus initial pressure-6,000Pa
Calculator controls
How to calculate
Estimate pressure change from fluid speed and elevation changes along a streamline.
Final minus initial pressure =
rho*((v1^2-v2^2)/2+g*(z1-z2)) PaWorked example
- Fluid density (kg/m³): 1000
- Initial speed (m/s): 2
- Final speed (m/s): 4
- Initial elevation (m): 0
- Final elevation (m): 0
- Gravity (m/s²): 9.80665
- Final minus initial pressure: -6,000 Pa
Assumptions and limits
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Flow is steady, incompressible and inviscid; pump work, friction and turbulence losses are excluded.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Estimate pressure change from fluid speed and elevation changes along a streamline. The sign describes a pressure rise or drop. Supply both elevations relative to the same reference level.
When this tool is useful
The sign describes a pressure rise or drop. Supply both elevations relative to the same reference level.
Understanding your inputs
| Input | Example |
|---|---|
Fluid density (kg/m³) rho | 1000 |
Initial speed (m/s) v1 | 2 |
Final speed (m/s) v2 | 4 |
Initial elevation (m) z1 | 0 |
Final elevation (m) z2 | 0 |
Gravity (m/s²) g | 9.80665 |
Frequently asked questions
Which assumptions matter for this result?
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Flow is steady, incompressible and inviscid; pump work, friction and turbulence losses are excluded.
How can I check the worked example?
Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.