PlumbingAdvancedPressure Transients

Water-Hammer Surge Screening Calculator

Apply the ideal Joukowsky relationship to a user-entered density, wave speed, and signed velocity change.

Why it matters: A visible equation keeps the calculation boundary and user-entered criteria available for technical review.

User inputs

Enter field measurements

4 inputs
Select I-P or SI display units; convert the complete input set before calculating.
lb/ft³ or kg/m³Density at the evaluated condition.
ft/s or m/sUser-entered effective wave speed.
ft/s or m/sPositive for an ideal pressure rise and negative for a reduction.

Calculated result

Engineering evaluation

Calculation complete—verify project criteria
Ideal surge-pressure change (ΔP_s)269.369 psi
Velocity change (Δv)
5 ft/s

Engineering interpretation

The ideal instantaneous velocity change produces a signed surge screen of 269.3686 psi.

Important limitations

  • Joukowsky screening only. Closure time, pipe restraint, elasticity, entrained air, wave reflections, cavitation, vapor pressure, branch geometry, surge devices, and transient analysis are omitted.

Engineering knowledge center

Understand the calculation—not just the answer

2026-08-07 · Free Library
Governing relationships
ΔP_s=ρaΔv (SI)
ΔP_s=ρaΔv/(g_c·144) (I-P)
Current substitution

ΔP_s=62.4×4000×5/(32.174×144)=269.3686.

Calculation sequence

Step-by-step method

  1. Confirm the input boundary, formula symbols, and unit system.
  2. Apply the displayed equation to the user-entered values.
  3. Compare the screening result with project criteria, manufacturer data, and applicable standards.

Equation legend

Inputs and calculated quantities

ρ
Fluid density — lb/ft³ or kg/m³
a
Pressure-wave speed — ft/s or m/s
Δv
Signed velocity change — ft/s or m/s
ΔP_s
Ideal surge-pressure change — psi
Δv
Velocity change — ft/s

Engineering calculation disclaimer

These engineering tools are provided for educational, preliminary evaluation, field verification, and commissioning support. Results depend on the accuracy of user-entered information and the assumptions stated for each calculation. Every colored status and comparison is a screening indicator only; project criteria, contract requirements, applicable codes, manufacturer instructions, measurement uncertainty, and authorized engineering judgment govern. The tools do not replace project-specific engineering analysis or the judgment of a licensed professional engineer.

Read the full use and limitation statement