This is a description of the deposited research data in "Experimental Measurement of Large-Amplitude Intermittent Vibrations of an Inclined Bendable Riser Transporting Unsteady Multiphase Flows"

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Nomenclature



d	Inner diameter

dP	Pressure drop

dPavg	Averaging of pressure difference

fn	Natural frequency

fo	Pipe oscillation frequency

fp	Frequency of pressure

fs	Slug frequency

L	Pipe length

Lf	Film length

Ls	Liquid slug length

P1	Outlet pressure

P2	Inlet pressure

PDF	Probability density functions

PSD	Normalized power spectral density

Pstd	Standard deviation of pressure

RGL	Gas-to-liquid flow rate ratio

s	Pipe arclength coordinate

t	Time

u	Pipe horizontal dynamic displacement from its static equilibrium

ugs	Gas superficial velocities

uls	Liquid superficial velocities

um	Mean pipe horizontal velocity

urms	Root-mean-squared pipe horizontal velocity

v	Pipe vertical dynamic displacement from its static equilibrium

vm	Mean pipe vertical velocity

vrms	Root-mean-squared pipe vertical velocity

x-y	Global coordinate system

z	Pipe out-of-plane displacement from its static equilibrium

σu	Horizontal bending stress

σv	Vertical bending stress





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Dataset description



Fig. 2. Time histories and frequency spectra of free decay tests for (a-c) air-filled and (d-f) water-filled riser in (u, v) in-plane and (z) out-of-plane directions.



Fig. 3. Selected gas-liquid superficial velocities for Set 1-3 vs. flow maps (with circles denoting flow pattern borders) of Spedding and Nguyen (1980) for horizontal (0º), inclined upward-flow (45º, 70º) and downward-flow (-45º) pipes: SL, S, A, D and B denote slug, stratified, annular, droplet and bubbly flow, respectively.



Fig. 4. Spatial distributions of total RMS responses inclusive of mean and oscillatory components for (a, b) C2-C5, (b, d) C7-C10 and (e, f) C12-C15.



Fig. 5. Spatial distributions of RMS responses of oscillatory components for (a, b) C2-C5, (b, d) C7-C10 and (e, f) C12-C15.



Fig. 6. Spatial distributions of mean drift profiles for (a, b) C2-C5, (b, d) C7-C10 and (e, f) C12-C15.



Fig. 7. Space-time varying (a, b, c, d) u and (e, f, g, h) v total responses due to SIV for (a, e) C7, (b, f) C8, (c, g) C9 and (d, h) C10.



Fig. 8. Space-time varying (a, b, c, d) u and (e, f, g, h) v responses exclusive of mean drifts due to SIV (a, e) C7, (b, f) C8, (c, g) C9 and (d, h) C10.



Fig. 9. Response time histories of (a, c, e, g) u and (b, d, f, h) v responses at markers M14 and M24 for (a, b) C7, (c, d) C8, (e, f) C9 and (g, h) C10.



Fig. 10. Phase plane trajectories at (a, b) M14, (c, d) M24, (e, f) M30 and the associated (g, h) Poincar´e maps at M14 for C10.



Fig. 11. Wavelet contour plots associated with response time histories in Figure 9.



Fig. 12. Space-time varying profiles in two oscillation cycles of (a, c) u and (b, d) v responses for (a, b) C8 and (c, d) C10.



Fig. 13. Space–time varying (a, b, c, d) σu and (e, f, g, h) σv inclusive of mean components (units in kPa) for (a, e) C7, (b, f) C8, (c, g) C9 and (d, h) C10.



Fig. 14. Space–time varying (a, b, c, d) σu and (e, f, g, h) σv exclusive of mean components (units in kPa) for (a, e) C7, (b, f) C8, (c, g) C9 and (d, h) C10.



Fig. 16. Histogram of probability density functions of (a, c, e) Ls and (b, d, f) Lf for RGL = 3 (a, b), 4 (c, d) and 5 (e, f), based on combined data from different case studies.



Fig. 17. Errors of fs predicted by different empirical correlations versus experimental values associated with Table 5: triangles, circles and crosses denote Set 1, 2 and 3, respectively.



Fig. 18. Selected responses for (a, b) 30 < t < 42 s and (e, f) 55 < t < 70 s for C10 and the associated flow information at different time instants (Section A: t = 34 s (c), Section B: t = 37.5 s (d), Section C: t = 56.4 s (g), Section D: t = 65.5 s (h)): arrows denote slug units with the estimated Lf/d and Ls/d.



Fig. 19. Pressure fluctuations at (a) riser top P1 and (c) riser bottom P2, and (e) pressure drop (dP) of C10, with Pstd of (b) P1 and (d) P2, and (f) dPavg associated with Set 1 to 3 for RGL = 2-5.



Fig. 20. Wavelet contour plots of flow pressure fluctuations at (a, c, e, g) riser top P1 and (b, d, f, h) bottom P2 for (a, b) C7, (c, d) C8, (e, f) C9 and (g, h) C10.