Overview of Mechanics of Pipes Conveying Fluids—Part I: Fundamental Studies

Abstract

This two-part review article presents an overview of mechanics of pipes conveying fluid and related problems such as the fluidelastic instability under conditions of turbulence in nuclear power plants. In the first part, different types of modeling, dynamic analysis, and stability regimes of pipes conveying fluid restrained by elastic or inelastic barriers are described. The dynamic and stability behaviors of pinned-pinned, clamped-clamped, and cantilevered pipes conveying fluid together with curved and articulated pipes will be discussed. Other problems such as pipes made of viscoelastic materials and active control of severe pipe vibrations are considered. This part will be closed by conclusions highlighting resolved and nonresolved controversies reported in literature. The second part will address the problem of fluid-elastic instability in single-and two-phase flows and fretting wear in process equipment such as heat exchangers and steam generators. Connors critical velocity will be discussed as a measure of initiating fluid-elastic instability. Vibro-impact of heat exchanger tubes and the random excitation by the cross-flow can produce a progressive damage at the supports through fretting wear or fatigue. Antivibration bar supports used to limit pipe vibrations are described. An assessment of analytical, numerical, and experimental techniques of fretting wear problem of pipes in heat exchangers will be given. Other topics related to this part include remote impact analysis and parameter identification, pipe damage-induced by pressure elastic waves, the dynamic response and stability of long pipes, marine risers together with pipes aspirating fluid, and carbon nanotubes conveying fluid.

Temperature modulation of the vibrational responses of a flexible fluid-conveying pipe

“…1 = HG /3 the second foundation parameter multiplied by the displacement experienced by the loaded area, H the depth of foundation and G the soil shear modulus.…”

“…Within this context, the transverse vibration and stability of such pipes have been studied while the problems of undamped pinned-pinned, clampedpinned and fixed end fluid-conveying pipe have also been tackled numerically. Ibrahim [1], in fact, recently gave a comprehensive review on the subject. Housner [2] studied the problem of the Trans-Arabian pipeline and, derive the governing differential equation.…”

Effect of Open Crack on Vibration Behavior of a Fluid-Conveying Pipe Embedded in a Visco-Elastic Medium

“…Dynamic behavior of the fluid-conveying pipes has significant importance due to its extensive application in different industries such as petrol and gas transportation systems (Païdoussis 1998, Ibrahim 2010, Ghaitani and Esmaeili 2013. These pipes often lie on a foundation and would be cracked as a result of various internal and external loads while conveying fluid.…”

Steady-state response of a fluid-conveying pipe with 3:1 internal resonance in supercritical regime

“…Paï-doussis [2] summarized the fruits before 1987. In 2010, the achievements during the past 60 years, especially the progresses of nonlinear vibrations and bifurcations, were overviewed by Ibrahim [3,4].…”

“…As the velocity of the fluid is bigger than the critical value, the straight configuration will be bended [3]. Chen and Zhang obtained the dynamic properties of a supercritical pipe with 2:1 internal resonance in 2012 [23] and 2014 [24].…”