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REVIEW ARTICLES

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

[+] Author and Article Information
David C Wiggert

Department of Civil and Environmental Engineering, Michigan State University, East Lansing MI 48824

Arris S Tijsseling

Department of Mathematics and Computing Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands

Appl. Mech. Rev 54(5), 455-481 (Sep 01, 2001) (27 pages) doi:10.1115/1.1404122 History:
Copyright © 2001 by ASME
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References

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Figures

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Sources of excitation and interaction between liquid and piping
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Instantaneous closure of unrestrained valve in reservoir-pipe-valve-system: a) pressure head at valve; b) axial displacement of valve. Uncoupled (dotted line), junction coupling (dashed line), Poisson and junction coupling (solid line) 8
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Instantaneous closure of unrestrained valve in reservoir-pipe-valve-system: a) boundary conditions in frequency domain; b) axial pipe velocity spectra; c) pressure spectra, with FSI (solid line), without FSI (broken line) 7
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Instantaneous closure of unrestrained valve in reservoir-pipe-valve-system: pressure time history at valve 3
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Instantaneous closure of valve in reservoir-pipe-valve-system: tested and simulated pipeline system 13
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Instantaneous closure of valve in reservoir-pipe-valve-system: (upper) measured and computed dynamic pressure near the shut-off valve 13; (lower two) computed pressure waveforms in the time-distance plane without FSI (upper) and with FSI (lower) 14
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Moving water-filled pipe with column separation: experimental and theoretical results 15
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Moving water-filled pipe with column separation: wave paths in distance-time diagram 15
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Experimental piping system: (upper) schematic: dimensions are in meters; (lower) dimensions and material properties of the system: D and d are outer and inner diameters 22
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Pressure spectra at valve: (upper) calculations without FSI, without damping; (lower) calculations with FSI (with damping, and without damping) 22
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Complex system: (left upper) schematic of the experiment; (left lower) node diagram used in calculation; (right) experiment parameters 1719
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Pressure spectra at free closed end divided by the pressure excitation spectra. Comparison between theory and experiment. The ordinate is the pressure 1719.
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Nuclear piping system: (upper) layout, (lower) structural model 39.
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Pump shutdown with valve closure in nuclear piping system: comparisons between calculation (solid line) and measurement (broken line); (left upper three diagrams) pressures, (left lower three diagrams) moments, (right three diagrams) displacements 38.
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Instantaneous closure of valve in reservoir-pipe-valve-system: main frequency of pressure wave versus rigidity of bend supports 43
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Vibration of a Z-shaped pipe section: prediction showing fully coupled modes 57
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Evolution of the lowest natural frequency of lateral vibration of simply supported straight pipe: (solid line) theory, (symbols) experiment, where ωV̄=0 is the natural frequency corresponding to V̄=0, and V̄c is the critical velocity. The symbols ○ and □ refer to experiment and the symbol ▵ refers to numerical results 89
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Instantaneous closure of valve in reservoir-pipe-valve-system: prediction of dynamic pressure at elbow; (square wave) no FSI, (solid line) with FSI including centrifugal and Coriolis effects, (dashed line) with FSI only 97
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Flexibility factors for elbows as a function of the bend characteristic λ and the internal pressure parameter ψ 108
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Discrete model of uniformly curved pipe 21
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Pipe-elbow system: a) pipe-elbow system geometry (dimensions are in mm); b) admittance spectrum for two models (from errata, 21)
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Predicted pressure wave form in the conduit showing the main waterhammer wave traveling at speed c1 accompanied by the precursor wave traveling at speed c2123

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