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Water Hammer Risk Estimator

Joukowsky surge analysis — pipeline period, closure time assessment, and surge mitigation guidance

System Parameters

Distance from the closing valve to the nearest tank, large header, or pump

Method: Joukowsky relation dP = rho x a x dV for instantaneous closure; linear-closure attenuation (dP x 2L/a divided by closure time) when closure exceeds the pipeline period 2L/a. Wave speeds are typical values — actual wave speed depends on pipe wall thickness, diameter, restraint, and entrained gas.

Limits: screening estimate for single-pipe liquid systems. Column separation, branched networks, pump trip transients, and condensate-induced steam hammer require transient simulation. Verify with a qualified engineer.

Pipeline Period 2L/a
0.83 s
Full Joukowsky Surge
24.0 bar
Estimated Surge (This Closure)
10.0 bar
Peak Transient Pressure
20.0 bar g
dP = rho(1000) x a(1200) x V(2) = 24.0 bar | closure 2s > period 0.83s
SLOW CLOSURE — BUT SURGE STILL SIGNIFICANT

Closure is slower than the pipeline period (0.83 s), so reflections partially relieve the surge. The attenuated surge estimate is 10.0 bar — still more than half the operating pressure.

Engineering Warnings
  • Check the transient total against the pipe and valve design pressure including the occasional-load allowance (typically 33 percent over design per ASME B31.4).
Recommendations
  • -Extending closure to 8.3 s or more would reduce the surge further
  • -Verify check valves on connected pump discharges are non-slam type (dual-plate or axial)
Reviewed by Engineering Applications Team, Vajra Industrial SolutionsDiscipline: Flow-Control Engineering CalculationsLast reviewed: 20 June 2026

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