2011
DOI: 10.1016/j.crme.2011.02.003
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Numerical modeling of phenomena of waterhammer using a model of fluid–structure interaction

Abstract: Mécanique des fluides numérique Coup de bélier Fluides-structures Méthodes des caractéristiques Éléments finisWe present a numerical code for fluid-structure interactions to solve the problem of waterhammer in pipes with thin walls. The pipe is modeled by planar beams theory of Bernoulli-Euler in longitudinal and transverse vibrations. This code is the coupling of the finite element method combined with the Newmark algorithm for movement of the pipe wall, and, for the fluid, the method of characteristics. Unli… Show more

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Cited by 15 publications
(9 citation statements)
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“…1), compared to only E 0 in classical viscoelastic water-hammer (N KV = 0), makes the pipe softer and results in a slower first mode of vibration. Viscoelasticity definitely smoothes the waterhammer transients caused by FSI by progressively eliminating higher frequencies of vibration (Rachid and Stuckenbruck, 1989;Achouyab and Bahrar, 2011).…”
Section: 23mentioning
confidence: 99%
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“…1), compared to only E 0 in classical viscoelastic water-hammer (N KV = 0), makes the pipe softer and results in a slower first mode of vibration. Viscoelasticity definitely smoothes the waterhammer transients caused by FSI by progressively eliminating higher frequencies of vibration (Rachid and Stuckenbruck, 1989;Achouyab and Bahrar, 2011).…”
Section: 23mentioning
confidence: 99%
“…Hachem and Schleiss (2011) modelled viscoelasticity and FSI to determine wave speeds in steel-lined rock-bored tunnels. Most recently, Achouyab and Bahrar (2011) published a numerical study on water hammer with FSI and viscoelasticity − similar to ours − in which the MOC-FEM approach was used to solve the equations. All cited simulations of water hammer in viscoelastic pipes did not consider the issue of support and elbow motion, something that can hardly be avoided in practice (Heinsbroek and Tijsseling, 1994;Tijsseling and Heinsbroek, 1999;Hambric et al, 2010).…”
Section: Introductionmentioning
confidence: 99%
“…Chung and Cheng optimized the pipe structure and added the vibration damping device, the lower-end boundary conditions are set as free end and fixed end, and the study shows that the dynamic response of the mining pipe caused by external excitation is weakened after the addition of the vibration damping device [8]. Achouyab and Bahrar used the FEM to analyze the pipe displacement offset under the fluid-solid coupling action [9]. e Korean scholar Hong et al used the concentrated mass method to analyze the three-dimensional dynamics of the deep sea mining pipe and obtained the mining pipe towing motion law [10].…”
Section: Introductionmentioning
confidence: 99%
“…Chung concentrated on the mechanical properties of the three-dimensional nonlinear, axial bending, and torsional coupling of the mining pipe [8]. Achouyab and Bahrar simplified the pipe into a plane beam and used Newmark algorithm to calculate the pipe transverse displacement [9]. Japanese research scholar Aso used the analytical method to study the dynamic characteristics of equal-diameter mining pipe under the variable speed towing conditions [10].…”
Section: Introductionmentioning
confidence: 99%