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Critical Valve Closure

Wave celerity, t_c = 2L/c, and Joukowsky surge for rapid vs slow closure

Inputs

Critical Valve Closure / Joukowsky

Wave celerity, critical closure time t_c = 2L/c, and peak surge for rapid vs slow valve closure.

Pipe length L

m

Diameter D

m

Wall thickness t

m

Fluid bulk modulus K

Pa

Water ≈ 2.2e9

Pipe modulus E

Pa

Steel ≈ 2.1e11

Density ρ

kg/m³

Initial velocity V

m/s

Closure time t

s

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