Velocity from Darcy Pressure Drop Calculator: worked example
This example is generated from PROFENG's own default input set and the implemented relationship. It is not copied from a cited publication.
Relationship
v = √(2ΔPD / fLρ)
This calculator determines velocity from pressure drop, inside diameter, darcy friction factor, pipe length, density. Use it for preliminary hydraulic screening, sanity checks and transparent comparison of operating cases before detailed equipment or piping design.
Inputs
- Pressure drop (dp) = 40,000 Pa
- Inside diameter (diameter) = 0.1 m
- Darcy friction factor (f) = 0.02
- Pipe length (length) = 100 m
- Density (rho) = 998 kg/m³
Working
Math.sqrt(2*(40000)*(0.1)/((0.02)*(100)*(998))) = 2.002 m/s
Velocity: 2.002 m/s
Assumptions and limits
- Inputs describe one consistent operating case and use the displayed units.
- Fluid properties are represented by the entered values and are treated as uniform for the calculation.
- Steady-state behavior is assumed unless the formula explicitly includes time dependence.
- A formula-level published source has not yet been confirmed for this exact implementation.
- Until the source is confirmed, use the displayed relationship only as a transparent screening implementation and independently check the method before engineering decisions.
Formula source and acknowledgement
Source being confirmed. No candidate title is displayed until the exact relationship is confirmed against an approved published source.
Automated verification passed – 30 September 2026 – six numerical cases checked, with dimensional checks and an independent implementation where applicable.
This worked example is for engineering screening and education. Replace defaults with traceable project data and confirm the method, assumptions, standards and equipment information before design, procurement or operation.