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Research Papers: Offshore Technology

Effects of Fluid Motions in Liquid Tanks on Vessel Motions Using a Simple Panel Method1

[+] Author and Article Information
Yusong Cao

Marintek USA, Inc.,
Houston, TX 77057
e-mail: yusong.cao@czmarine.com

Fuwei Zhang

Marintek USA, Inc.,
Houston, TX 77057
e-mail: fuwei.zhang@czmarine.com

2Corresponding author.

3Present address: C-Z Marine Technology, LLC, 3323 Bingham Manor Lane, Houston, TX 77056.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received September 9, 2009; final manuscript received October 16, 2015; published online December 10, 2015. Editor: Solomon Yim.

J. Offshore Mech. Arct. Eng 138(1), 011301 (Dec 10, 2015) (11 pages) Paper No: OMAE-09-1094; doi: 10.1115/1.4031925 History: Received September 09, 2009; Revised October 16, 2015

This paper presents a simple and fast method to include the effect of liquid tanks of a vessel in the prediction of the vessel motions. The effects are expressed in terms of modifications to the added mass and stiffness matrices of the vessels calculated with the liquids in the tanks assumed being rigid. The flows in the liquid tanks are solved using a panel method based on the desingularized boundary integral equations (DBIEs). The numerical results were validated by the experiments of a square tank partially filled. An application example for a vessel with two internal liquid tanks is demonstrated.

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Figures

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Fig. 1

Example tank panels and collocation points

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Fig. 2

Sketch of the test setup

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Fig. 3

Added mass a11 of the rectangular tank

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Fig. 9

Tank added mass a15

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Fig. 10

Tank added mass a22

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Fig. 11

Tank added mass a24

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Fig. 13

Tank added mass a44

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Fig. 14

Tank added mass a55

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Fig. 15

Tank added mass a66

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Fig. 16

Effect on added mass A11

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Fig. 17

Effect of tank sloshing on added mass A22

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Fig. 4

Added mass a55 of the rectangular tank

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Fig. 5

Comparison of the moments ((h/B)= 0.08)

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Fig. 6

Comparison of the moments ((h/B)= 0.1)

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Fig. 7

The vessel with two internal liquid tanks (from Ref. [4])

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Fig. 8

Tank added mass a11

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Fig. 12

Tank added mass a33

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Fig. 18

Effect of tank sloshing on added mass A33

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Fig. 19

Effect of tank sloshing on added mass A44

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Fig. 20

Effect of tank sloshing on added mass A55

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Fig. 21

Effect of tank sloshing on added mass A66

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Fig. 22

Vessel surge RAOs

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Fig. 24

Vessel heave RAOs

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Fig. 26

Vessel pitch RAOs

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