Water hammer with fluid–structure interaction in thick-walled pipes

A one-dimensional mathematical model is presented which describes the acoustic behaviour of thick-walled liquid-filled pipes. The model is based on conventional water-hammer and beam theories. Fluid–structure interaction (FSI) is taken into account. The equations governing straight pipes are derived...

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Veröffentlicht in:Computers & structures 2007-06, Vol.85 (11), p.844-851
1. Verfasser: Tijsseling, A.S.
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description A one-dimensional mathematical model is presented which describes the acoustic behaviour of thick-walled liquid-filled pipes. The model is based on conventional water-hammer and beam theories. Fluid–structure interaction (FSI) is taken into account. The equations governing straight pipes are derived by the cross-sectional integration of axisymmetric two-dimensional basic equations. The resulting FSI four-equation model has small correction terms and factors accounting for the wall thickness. Exact solutions of this model show that these corrections are important only for very thick pipes, with, say, a radius/thickness ratio smaller than 2.
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subjects Applied sciences
Compressible flows
shock and detonation phenomena
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fluid transients
Fluid–structure interaction (FSI)
Fundamental areas of phenomenology (including applications)
Mechanical engineering. Machine design
Physics
Pipe flow
Pipe vibration
Pipings, valves, fittings
Shock-wave interactions and shock effects
Solid mechanics
Steel design
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Water hammer
Wave speed
title Water hammer with fluid–structure interaction in thick-walled pipes
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