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Water Hammer Surge

Joukowsky surge head and pressure for sudden valve closure with slow-closure (Michaud) check based on closure time vs 2L/a.

Inputs

Method — Joukowsky
  • Critical (instant) closure: ΔH = a·V/g.
  • If tc > 2L/a, closure is “slow”: ΔH ≈ 2·L·V/(g·tc).
  • Surge pressure: ΔP = ρ·a·V (Pa). Total max head = H₀ + ΔH.

Results

2L/a (critical time)
Closure type
Joukowsky ΔH
Slow closure ΔH
Surge ΔP
Max total head