The dynamics of a piping system with internal unsteady flow

Lee, U.; Pak, Chol Hui; Hong, Sung Chul

doi:10.1006/jsvi.1995.0080

Cited by 76 publications

(39 citation statements)

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“…From equations (11) and (12), it can also be seen that the Poisson coupling and the dilation due to the change of hydrodynamic pressure are considered. If the non-linear terms associated with displacements, w K , ¹ and c in equation (7), the second to fourth and "fth to seventh terms in equation (8), the fourth term in equation (12) and the third and fourth terms in equation (15) are neglected, these equations become identical to the analytical model used by Lee et al [11].…”

Section: Model Formulationmentioning

confidence: 74%

“…For the numerical calculation, the pipeline system used by Lee et al [11] was followed. The pipeline is inclined and simply supported at both ends.…”

Section: A Numerical Examplementioning

confidence: 99%

“…Also, the equations of the waterhammer e!ect are not fully coupled with the vibration of the #uid-conveying pipe in both the lateral and logitudinal directions in this model. Recently, a more general set of equations governing the motion of the pipe and #uid has been obtained by Lee et al [11]. However, the partial di!erential equations derived are not fully coupled, and the mechanism of the #uid}structure interaction is only partially illustrated.…”

Section: Introductionmentioning

confidence: 99%

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Vibration of a Flexible Pipe Conveying Viscous Pulsating Fluid Flow

Gorman

Reese

Zhang

2000

Journal of Sound and Vibration

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The non-linear equations of motion of a #exible pipe conveying unsteadily #owing #uid are derived from the continuity and momentum equations of unsteady #ow. These partial di!erential equations are fully coupled through equilibrium of contact forces, the normal compatibility of velocity at the #uid} pipe interfaces, and the conservation of mass and momentum of the transient #uid. Poisson coupling between the pipe wall and #uid is also incorporated in the model. A combination of the "nite di!erence method and the method of characteristics is employed to extract displacements, hydrodynamic pressure and #ow velocities from the equations. A numerical example of a pipeline conveying #uid with a pulsating #ow is given and discussed.

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Section: Model Formulationmentioning

confidence: 74%

“…For the numerical calculation, the pipeline system used by Lee et al [11] was followed. The pipeline is inclined and simply supported at both ends.…”

Section: A Numerical Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vibration of a Flexible Pipe Conveying Viscous Pulsating Fluid Flow

Gorman

Reese

Zhang

2000

Journal of Sound and Vibration

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“…Erath et al [38] explained this behavior in terms of two idealized and coupled mass-spring systems, where one system represented the liquid and the other the solid. Additional parametric analyses were performed by Tijsseling and Heinsbroek [44] using the Delft rig data to determine the effect of [48]. Both models included lateral as well as axial motions, in contrast to the formerly discussed fourequation axial models; in that respect, they were more inclusive.…”

Section: Numerical and Parametric Studiesmentioning

confidence: 99%

“…Lee et al [48,93] combined the dynamic equations of Pal do us sis and Issid [94] describing lateral pipe vibration with the dynamic equations for axial vibration (pipe and fluid) ofWiggert et al [6], thereby neglecting Poisson coupling. Compared with Equation 7.l, the lateral equations allowed for flow unsteadiness.…”

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confidence: 99%

Fluid transients and fluid-structure interaction in flexible liquid-filled piping

Wiggert

Tijsseling

2001

Applied Mechanics Reviews

179

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Fluid-structure interaction in piping systems (FSl) consists of the transfer of momentum and forces between piping and the contained liquid during unsteady flow. Excitation mechanisms may be caused by rapid changes in flow and pressure or may be initiated by mechanical action of the piping. The interaction is manifested in pipe vibration and perturbations in velocity and pressure of the liquid. The resulting loads imparted on the piping are transferred to the support mechanisms such as hangers, thrust blocks, etc. The phenomenon has recently received increased attention because of safety and reliability concerns in power generation stations, environmental issues in pipeline delivery systems, and questions related to stringent industrial piping design performance guidelines. Furthermore, numerical advances have allowed practitioners to revisit the manner in which the interaction between piping and contained liquid is modeled, resulting in improved techniques that are now readily available to predict FSI. This review attempts to succinctly summarize the essential mechanisms that cause FSI, and present relevant data that describe the phenomenon. In addition, the various numerical and analytical methods that have been developed to successfully predict FSI will be described. Several earlier reviews regarding FSI in piping have been published; this review is intended to update the reader on developments that have taken place over the last approximately ten years, and to enhance the understanding of various aspects of FSI. Tables (1-2) 79

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References

2009

Spectral Element Method in Structural Dynamics

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The dynamics of a piping system with internal unsteady flow

Cited by 76 publications

References 0 publications

Vibration of a Flexible Pipe Conveying Viscous Pulsating Fluid Flow

Vibration of a Flexible Pipe Conveying Viscous Pulsating Fluid Flow

Fluid transients and fluid-structure interaction in flexible liquid-filled piping

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