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Research Papers: Fluid-Structure Interaction

Pitch and Mass Ratio Effects on Transverse and Streamwise Fluidelastic Instability in Parallel Triangular Tube Arrays

[+] Author and Article Information
Marwan Hassan

School of Engineering,
University of Guelph,
Guelph, ON N1G 2W1, Canada

David Weaver

Department of Mechanical Engineering,
McMaster University,
McMaster, ON L8S 4L8, Canada

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received February 8, 2017; final manuscript received August 14, 2017; published online October 4, 2017. Assoc. Editor: Reza Adibiasl.

J. Pressure Vessel Technol 139(6), 061302 (Oct 04, 2017) (7 pages) Paper No: PVT-17-1026; doi: 10.1115/1.4037717 History: Received February 08, 2017; Revised August 14, 2017

The simple tube and channel theoretical model for fluidelastic instability (FEI) in tube arrays, as developed by Hassan and Weaver, has been used to study the effects of pitch ratio and mass ratio on the critical velocity of parallel triangular tube arrays. Simulations were carried out considering fluidelastic forces in the lift and drag directions independently and acting together for cases of a single flexible tube in a rigid array and a fully flexible kernel of seven tubes. No new empirical data were required using this model. The direction of FEI as well as the relative importance of fluid coupling of tubes was studied, including how these are affected by tube pitch ratio and mass ratio. The simulation predictions agree reasonably well with available experimental data. It was found that parallel triangular tube arrays are more vulnerable to streamwise FEI when the pitch ratio is small and the mass-damping parameter (MDP) is large.

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References

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Figures

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Fig. 1

Tube bundle layout

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Fig. 2

Response of a single flexible tube in a rigid array at various flow velocities, restrained to vibrate in the transverse direction: (a) subcritical −Ur = 57, (b) critical−Ur = 59, and (c) supercritical−Ur = 61

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Fig. 3

The effect of the flow velocity on the vibration frequency and damping ratio for single flexible tube cases (MDP = 100) vibrating in the transverse (a) and (b) and streamwise (c) and (d) directions

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Fig. 4

Transverse vibration response for a single flexible tube and a multiple flexible tube array, P/D = 1.4, MDP = 100

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Fig. 5

Comparison between the prediction of the transverse stability threshold using a single flexible tube and multiple flexible tubes models for P/D = 1.4

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Fig. 6

Effect of the P/D on the single flexible tube to multiple flexible tubes stability ratio

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Fig. 7

The effect of the tube pitch ratio, P/D, and MDP on the stability threshold of a tube bundle vibrating in the (a) transverse direction only (b) streamwise direction only, and (c) transverse and streamwise directions

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Fig. 8

Stability contours for the case of multiple flexible tubes. The contour labels indicate the directional stability ratio (UcL/UcD), i.e., (Ucr from Fig. 7(a))/(Ucr from Fig. 7(b)).

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Fig. 9

Stability contours for the case of multiple flexible tubes. The contour labels indicate the directional stability ratio (UcL/Uc), i.e., (Ucr from Fig. 7(a))/(Ucr from Fig. 7(c)).

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Fig. 10

Comparison between the prediction of the present model with the experimental data for the case of multiple tubes vibrating in the streamwise direction at MDP = 100 for various pitch to diameter ratios, P/D

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Fig. 11

Comparison between the prediction of the present model with the experimental data for the case of multiple flexible tubes vibrating in the streamwise direction for various MDP

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