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Joukowsky Surge Pressure

Water-hammer pressure rise from instantaneous valve closure. Δp = ρ · c · Δv.

HydraulicsWater hammer
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Formula, assumptions, and limits

Δp=ρcΔv\Delta p = \rho \cdot c \cdot \Delta v
SymbolMeaningUnit
ρρFluid densitykg/m³
ccPressure-wave speed in pipe (depends on pipe modulus)m/s
ΔvΔvAbrupt velocity changem/s
ΔpΔpPeak surge pressurePa → bar

Source: Joukowsky (1898)

In short

Water-hammer pressure rise from instantaneous valve closure.

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