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Water hammer pressure is defined as a transient surge of pressure inside pipe with full flowing liquid caused by the sudden change in flow velocity. Its formula: Ph= ρΔva, where ρ is the mass density of the liquid, Δv is the velocity change of the liquid and a is the pressure wave velocity.
In a "rapid closure" in a long pipe when the closing time tc is < 2L/a, where L is the length of the pipe, the induced surge is highest.
The pressure wave a is a function of the volume modulus elasticity Ev of the liquid. For water, it is about 2.2 x 106 kn/m 2 at 20°C. This value is about 1% that of the thick steel pipe it is flowing through. The formula for a is a=√(Ev/ρ). For water at 20°C, it is about 1400m/s. This is an intrinsic property of liquid water.
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