Bernoulli Equation Velocity Calculator
Explore the ideal pressure/elevation relationship for a flowing incompressible fluid. The tool shows the method and key assumptions so you can inspect how the input values lead to the estimate.
How to use this calculator
- Enter inlet pressure (pa) using the unit and definition shown beside the input.
- Enter outlet pressure (pa) using the unit and definition shown beside the input.
- Enter inlet velocity (m/s) using the unit and definition shown beside the input.
- Check that all values refer to the same time period and scenario.
- Review the outputs alongside the assumptions before using them in a decision.
Formula and assumptions
v₂²=v₁²+2(p₁−p₂)/ρ+2g(z₁−z₂), with positive heightDrop meaning the inlet is higher.
- Ideal Bernoulli assumes steady, incompressible, inviscid flow along a streamline and omits pumps, turbines and losses. Real pipe systems need loss terms and suitable engineering methods.
- The estimate is calculated from values you enter. It does not connect to external accounts, obtain live prices, or validate local regulations or engineering specifications.
Worked examples
Worked example
The result is rejected if the stated pressures and elevation imply a negative downstream velocity squared.
Enter absolute or consistently referenced pressures, velocity, height difference and density.
Do not use this simplified result as a detailed piping design.
Understanding the result
Ideal Bernoulli assumes steady, incompressible, inviscid flow along a streamline and omits pumps, turbines and losses. Real pipe systems need loss terms and suitable engineering methods.
Change one input at a time to see how sensitive the output is to that assumption.
Important notes
Ideal Bernoulli assumes steady, incompressible, inviscid flow along a streamline and omits pumps, turbines and losses. Real pipe systems need loss terms and suitable engineering methods.
Frequently asked questions
What formula does the Bernoulli Equation Velocity Calculator use?
v₂²=v₁²+2(p₁−p₂)/ρ+2g(z₁−z₂), with positive heightDrop meaning the inlet is higher.
What should I verify before relying on the result?
Ideal Bernoulli assumes steady, incompressible, inviscid flow along a streamline and omits pumps, turbines and losses. Real pipe systems need loss terms and suitable engineering methods.
Can I compare different scenarios?
Yes. Change one assumption at a time, keep units and definitions consistent, and save the inputs used for each comparison.
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Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.