Abstract

Tank sloshing in a liquid cargo ship will cause instability or even overturning of its carrier if the external wave frequency is close to the natural frequency of the tank. The inherent damping of a tank without inner structures has been found to be insufficient for suppressing violent sloshing motion. A variety of damping plates have been designed to increase the inherent damping of the tank. Of them, a horizontal perforated plate (HPP) has been proved to be effective for dissipating energy in a swaying tank through experiments. In this study, the sloshing problem in a tank with an HPP under swaying and rolling excitation is analytically studied based on the potential theory. The quadratic pressure loss boundary at the perforated plate is adopted, and the matched eigenfunction expansion method (MEEM) with iterative calculations is used to develop the analytical model. Based on the different porosities and submerged depths of the plate, both the free surface elevations and the hydrodynamic coefficients are carefully examined. The results give a better understanding in the effect of the inner HPP on the sloshing motion in the ship tank.

References

References
1.
Faltinsen
,
O. M.
, and
Timokha
,
A. N.
,
2009
,
Sloshing
,
Cambridge University Press
,
Cambridge
.
2.
Faltinsen
,
O. M.
, and
Timokha
,
A. N.
,
2010
, “
A Multimodal Method for Liquid Sloshing in a Two-Dimensional Circular Tank
,”
J. Fluid Mech.
,
665
, pp.
457
479
. 10.1017/S002211201000412X
3.
Nezami
,
M.
,
Oveisi
,
A.
, and
Mohammadi
,
M. M.
,
2014
, “
Standing Gravity Waves in a Horizontal Circular Eccentric Annular Tank
,”
ASME J. Press. Vessel Technol
,
136
(
4
), p.
041301
. 10.1115/1.4026978
4.
Rebouillat
,
S.
, and
Liksonov
,
D.
,
2010
, “
Fluid-Structure Interaction in Partially Filled Liquid Containers: A Comparative Review of Numerical Approaches
,”
Comput. Fluids
,
39
(
5
), pp.
739
746
. 10.1016/j.compfluid.2009.12.010
5.
Ueda
,
Y.
,
Ishii
,
T.
, and
Iguchi
,
M.
,
2007
, “
Numerical Simulation on a Horizontal Flow Pattern of Jet-Induced Rotary Sloshing in a Cylindrical Container
,”
ISIJ Int.
,
47
(
7
), pp.
940
944
. 10.2355/isijinternational.47.940
6.
Fediw
,
A. A.
,
Isyumov
,
N.
, and
Vickery
,
B. J.
,
1995
, “
Performance of a Tuned Sloshing Water Damper
,”
J. Wind Eng. Ind. Aerodyn.
,
57
(
2–3
), pp.
237
247
. 10.1016/0167-6105(94)00107-O
7.
Tait
,
M. J.
,
El Damatty
,
A. A.
, and
Iayumov
,
N.
,
2004
, “
Testing of Tuned Liquid Damper With Screens and Development of Equivalent TMD Model
,”
Wind Struct. An Int. J.
,
7
(
4
), pp.
215
234
. 10.12989/was.2004.7.4.215
8.
Evans
,
D. V.
, and
McIver
,
P.
,
1987
, “
Resonant Frequencies in a Container With a Vertical Baffle
,”
J. Fluid Mech.
,
175
(
1
), pp.
295
307
. 10.1017/S0022112087000399
9.
Cho
,
J. R.
,
Lee
,
H. W.
, and
Ha
,
S. Y.
,
2005
, “
Finite Element Analysis of Resonant Sloshing Response in 2-D Baffled Tank
,”
J. Sound Vib.
,
288
(
4–5
), pp.
829
845
. 10.1016/j.jsv.2005.01.019
10.
Wu
,
C. H.
,
Faltinsen
,
O. M.
, and
Chen
,
B. F.
,
2012
, “
Numerical Study of Sloshing Liquid in Tanks With Baffles by Time-Independent Finite Difference and Fictitious Cell Method
,”
Comput. Fluids
,
63
, pp.
9
26
. 10.1016/j.compfluid.2012.02.018
11.
Dodge
,
F. T.
,
2000
,
The New “Dynamic Behavior of Liquids in Moving Containers”
,
Southwest Research Inst
,
San Antonio
.
12.
Tait
,
M. J.
,
2008
, “
Modelling and Preliminary Design of a Structure-TLD System
,”
Eng. Struct.
,
30
(
10
), pp.
2644
2655
. 10.1016/j.engstruct.2008.02.017
13.
Firoozkoohi
,
R.
, and
Faltinsen
,
O. M.
,
2010
, “
Experimental and Numerical Investigation of the Effect of Swash Bulkhead on Sloshing
.”
14.
Faltinsen
,
O. M.
,
Firoozkoohi
,
R.
, and
Timokha
,
A. N.
,
2011
, “
Steady-State Liquid Sloshing in a Rectangular Tank With a Slat-Type Screen in the Middle: Quasilinear Modal Analysis and Experiments
,”
Phys. Fluids
,
23
(
4
), p.
042101
. 10.1063/1.3562310
15.
Nasar
,
T.
, and
Sannasiraj
,
S. A.
,
2019
, “
Sloshing Dynamics and Performance of Porous Baffle Arrangements in a Barge Carrying Liquid Tank
,”
Ocean Eng.
,
183
, pp.
24
39
. 10.1016/j.oceaneng.2019.04.022
16.
Crowley
,
S.
, and
Porter
,
R.
,
2012
, “
An Analysis of Screen Arrangements for a Tuned Liquid Damper
,”
J. Fluids Struct.
,
34
, pp.
291
309
. 10.1016/j.jfluidstructs.2012.06.001
17.
Crowley
,
S.
, and
Porter
,
R.
,
2012
, “
The Effect of Slatted Screens on Waves
,”
J. Eng. Math.
,
76
(
1
), pp.
33
57
. 10.1007/s10665-011-9529-6
18.
Molin
,
B.
, and
Remy
,
F.
,
2013
, “
Experimental and Numerical Study of the Sloshing Motion in a Rectangular Tank With a Perforated Screen
,”
J. Fluids Struct.
,
43
, pp.
463
480
. 10.1016/j.jfluidstructs.2013.10.001
19.
Molin
,
B.
, and
Remy
,
F.
,
2015
, “
Inertia Effects in TLD Sloshing With Perforated Screens
,”
J. Fluids Struct.
,
59
, pp.
165
177
. 10.1016/j.jfluidstructs.2015.09.004
20.
Poguluri
,
S. K.
, and
Cho
,
I. H.
,
2019
, “
Liquid Sloshing in a Rectangular Tank With Vertical Slotted Porous Screen: Based on Analytical, Numerical, and Experimental Approach
,”
Ocean Eng.
,
189
, p.
106373
. 10.1016/j.oceaneng.2019.106373
21.
Wang
,
J.
,
Wang
,
C.
, and
Liu
,
J.
,
2019
, “
Sloshing Reduction in a Pitching Circular Cylindrical Container by Multiple Rigid Annular Baffles
,”
Ocean Eng.
,
171
, pp.
241
249
. 10.1016/j.oceaneng.2018.11.013
22.
Biswal
,
K. C.
,
Bhattacharyya
,
S. K.
, and
Sinha
,
P. K.
,
2004
, “
Dynamic Response Analysis of a Liquid-Filled Cylindrical Tank With Annular Baffle
,”
J. Sound Vib.
,
274
(
1–2
), pp.
13
37
. 10.1016/S0022-460X(03)00568-6
23.
Kim
,
Y.
,
2001
, “
Numerical Simulation of Sloshing Flows With Impact Load
,”
Appl. Ocean Res.
,
23
(
1
), pp.
53
62
. 10.1016/S0141-1187(00)00021-3
24.
Biswal
,
K. C.
,
Bhattacharyya
,
S. K.
, and
Sinha
,
P. K.
,
2006
, “
Non-Linear Sloshing in Partially Liquid Filled Containers With Baffles
,”
Int. J. Numer. Methods Eng.
,
68
(
3
), pp.
317
337
. 10.1002/nme.1709
25.
Isaacson
,
M.
, and
Premasiri
,
S.
,
2001
, “
Hydrodynamic Damping Due to Baffles in a Rectangular Tank
,”
Can. J. Civ. Eng.
,
28
(
4
), pp.
608
616
. 10.1139/l01-022
26.
Goudarzi
,
M. A.
, and
Sabbagh-Yazdi
,
S. R.
,
2012
, “
Analytical and Experimental Evaluation on the Effectiveness of Upper Mounted Baffles With Respect to Commonly Used Baffles
,”
Ocean Eng.
,
42
, pp.
205
217
. 10.1016/j.oceaneng.2011.12.005
27.
Ünal
,
U. O.
,
Bilici
,
G.
, and
Akyıldız
,
H.
,
2019
, “
Liquid Sloshing in a Two-Dimensional Rectangular Tank: A Numerical Investigation With a T-Shaped Baffle
,”
Ocean Eng.
,
187
, p.
106183
. 10.1016/j.oceaneng.2019.106183
28.
Sanapala
,
V. S.
,
Rajkumar
,
M.
,
Velusamy
,
K.
, and
Patnaik
,
B. S. V.
,
2018
, “
Numerical Simulation of Parametric Liquid Sloshing in a Horizontally Baffled Rectangular Container
,”
J. Fluids Struct.
,
76
, pp.
229
250
. 10.1016/j.jfluidstructs.2017.10.001
29.
Lu
,
L.
,
Jiang
,
S. C.
,
Zhao
,
M.
, and
Tang
,
G. Q.
,
2015
, “
Two-Dimensional Viscous Numerical Simulation of Liquid Sloshing in Rectangular Tank With/Without Baffles and Comparison With Potential Flow Solutions
,”
Ocean Eng.
,
108
, pp.
662
677
. 10.1016/j.oceaneng.2015.08.060
30.
Jin
,
H.
,
Liu
,
Y.
, and
Li
,
H. J.
,
2014
, “
Experimental Study on Sloshing in a Tank With an Inner Horizontal Perforated Plate
,”
Ocean Eng.
,
82
, pp.
75
84
. 10.1016/j.oceaneng.2014.02.024
31.
Jin
,
H.
,
Liu
,
Y.
,
Li
,
H.
, and
Fu
,
Q.
,
2017
, “
Numerical Analysis of the Flow Field in a Sloshing Tank With a Horizontal Perforated Plate
,”
J. Ocean Univ. China
,
16
(
4
), pp.
575
584
. 10.1007/s11802-017-3369-6
32.
Temarel
,
P.
,
Bai
,
W.
,
Bruns
,
A.
,
Derbanne
,
Q.
,
Dessi
,
D.
,
Dhavalikar
,
S.
,
Fonseca
,
N.
,
Fukasawa
,
T.
,
Gu
,
X.
,
Nestegård
,
A.
,
Papanikolaou
,
A.
,
Parunov
,
J.
,
Song
,
K. H.
, and
Wang
,
S.
,
2016
, “
Prediction of Wave-Induced Loads on Ships: Progress and Challenges
,”
Ocean Eng.
,
119
, pp.
274
308
. 10.1016/j.oceaneng.2016.03.030
33.
Molin
,
B.
,
2011
, “
Hydrodynamic Modeling of Perforated Structures
,”
Appl. Ocean Res.
,
33
(
1
), pp.
1
11
. 10.1016/j.apor.2010.11.003
34.
Linton
,
C. M.
, and
McIver
,
P.
,
2001
,
Handbook of Mathematical Techniques for Wave/Structure Interactions
,
CRC Press
,
New York
.
35.
Faltinsen
,
O. M.
,
Firoozkoohi
,
R.
, and
Timokha
,
A. N.
,
2011
, “
Analytical Modeling of Liquid Sloshing in a Two-Dimensional Rectangular Tank With a Slat Screen
,”
J. Eng. Math.
,
70
(
1–3
), pp.
93
109
. 10.1007/s10665-010-9397-5
36.
Xue
,
M. A.
,
Lin
,
P. Z.
,
Zheng
,
J. H.
,
Ma
,
Y. X.
,
Yuan
,
X. L.
, and
Nguyen
,
V. T.
,
2013
, “
Effects of Perforated Baffle on Reducing Sloshing in Rectangular Tank: Experimental and Numerical Study
,”
China Ocean Eng.
,
27
(
5
), pp.
615
628
. 10.1007/s13344-013-0052-6
37.
Cho
,
I. H.
,
Choi
,
J. S.
, and
Kim
,
M. H.
,
2017
, “
Sloshing Reduction in a Swaying Rectangular Tank by an Horizontal Porous Baffle
,”
Ocean Eng.
,
138
, pp.
23
34
. 10.1016/j.oceaneng.2017.04.005
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