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Research Papers: Fluid-Structure Interaction

Modeling of Streamwise and Transverse Fluidelastic Instability in Tube Arrays

[+] Author and Article Information
Marwan Hassan

School of Engineering,
University of Guelph,
Guelph, ON N1G 1Y4, Canada
e-mail: mahassan@uoguelph.ca

David S. Weaver

Mechanical Engineering Department,
McMaster University,
Hamilton, ON L8S 4L7, Canada
e-mail: weaverds@mcmaster.ca

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received October 23, 2015; final manuscript received February 11, 2016; published online April 29, 2016. Assoc. Editor: Tomomichi Nakamura.

J. Pressure Vessel Technol 138(5), 051304 (Apr 29, 2016) (9 pages) Paper No: PVT-15-1229; doi: 10.1115/1.4032817 History: Received October 23, 2015; Revised February 11, 2016

The development of a theoretical model for fluidelastic instability (FEI) in tube arrays is presented. Based on the simple model of Lever and Weaver, it considers a group of seven tubes which move in both the streamwise and transverse directions. The analysis does not constrain either tube frequency or relative mode shape so that the tubes' behavior evolves from a perturbation naturally. No additional empirical input is required. A particular case is used to evaluate the model's performance and the ratio of streamwise-to-transverse natural frequency is varied. Both streamwise and transverse directions of FEI are predicted and the results agree well with experimental observations.

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Figures

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Fig. 1

Tube bundle layout

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Fig. 2

Representative control volume for flow channel: (a) transverse area perturbation and (b) streamwise area perturbation

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Fig. 3

Examples for flow channels with their surrounding tubes for: (a) tube 1 and (b) tube 5

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Fig. 4

Pressure over the length of the channel in contact with the tube

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Fig. 5

Transverse response of the center tube in multiple flexible tube array (a) stable response and (b) unstable response

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Fig. 6

RMS transverse vibration response for a single and a multiple flexible tube array

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Fig. 7

Phase relationship for tube transverse motion for Ur = 40 (a) transverse response time trace and (b) orbits of the tube motion (flow from top to bottom)

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Fig. 8

Streamwise response of the center tube in multiple flexible tube array (a) stable response and (b) unstable response

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Fig. 9

Phase relationship for tube streamwise motion for Ur = 40 (a) streamwise response time trace and (b) orbits of the tube motion (flow from top to bottom)

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Fig. 10

RMS streamwise vibration response for a single and multiple flexible tube array

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Fig. 11

Critical flow velocity versus tube frequency ratio

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Fig. 12

Predicted FEI threshold versus experimental data from Weaver and Fitzpatrick [2] for axisymmetric flexible parallel triangle tube arrays: (a) single flexible tube and (b) multiple flexible tubes

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