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A viscous damping model for piston mode resonance

Published online by Cambridge University Press:  24 May 2019

L. Tan Open the ORCID record for L. Tan [Opens in a new window] ,
L. Lu ,
G.-Q. Tang ,
L. Cheng  and
X.-B. Chen Open the ORCID record for X.-B. Chen [Opens in a new window]
L. Tan
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China
L. Lu*
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China International Joint Laboratory on Offshore Oil & Gas Engineering, Dalian University of Technology, Dalian 116024, PR China
G.-Q. Tang
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China International Joint Laboratory on Offshore Oil & Gas Engineering, Dalian University of Technology, Dalian 116024, PR China
L. Cheng
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China International Joint Laboratory on Offshore Oil & Gas Engineering, Dalian University of Technology, Dalian 116024, PR China School of Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009 Australia
X.-B. Chen
Affiliation:
Deepwater Technology Research Centre, Bureau Veritas, 117674 Singapore
*
†Email address for correspondence: lulin@dlut.edu.cn
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Abstract

A viscous damping model is proposed based on a simplified equation of fluid motion in a moonpool or the narrow gap formed by two fixed boxes. The model takes into account the damping induced by both flow separation and wall friction through two damping coefficients, namely, the local and friction loss coefficients. The local loss coefficient is determined through specifically designed physical model tests in this work, and the friction loss coefficient is estimated through an empirical formula found in the literature. The viscous damping model is implemented in the dynamic free-surface boundary condition in the gap of a modified potential flow model. The modified potential flow model is then applied to simulate the wave-induced fluid responses in a narrow gap formed by two fixed boxes and in a moonpool for which experimental data are available. The modified potential flow model with the proposed viscous damping model works well in capturing both the resonant amplitude and frequency under a wide range of damping conditions.

JFM classification

Waves/Free-surface Flows: Surface gravity waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 871 , 25 July 2019 , pp. 510 - 533
Copyright
© 2019 Cambridge University Press 

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