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Trans RINA, Vol 157, Part A3, Intl J Maritime Eng, Jul-Sep 2015


with 0.5 B and 1.0 B as an example, Figure 7 shows the variance of center of mass deviating from the bank for verical and sloped bank. The simulation results clearly indicates that for a constant ship speed, the center of mass deviating from the bank increases as the distance between the ship and the verical sloped bank.


or


According to the simulation results, the more obvious the eddy currents produced at the ship stern, the larger the bank effects on the ship. Figure 8 shows the eddy current phenomenon produced at the stern of Ship 1. When the ship navigated for 50 s, no eddy currents have yet produced at the ship stern; however, the effects of bank suction became increasingly obvious as navigation time increased. As obvious eddy currents


seen in the were figure, produced (in a


counterclockwise rotation) at t = 150 s. In the figure, the ship was influenced by the ship stern eddy current on the port side and its bow deviated towards the center of the navigating channel. Figures 9 and 10 are the pressure variations on the x-y plane 1 m below the surface of water for Ships 1 and 2, respectively, when navigating along


a vertical embankment. Red


represents high pressure zones and blue represents low pressure zones. The figures show that the area between the ship stern and the embankment was a low pressure zone; thus, as navigation time increased, the ship stern increasingly approached the embankment because of bank suction. The pressure waves at the bow moved forward, and the pressure on the starboard side became higher than that on the port side, producing a bank cushion effect and causing course deviation.


4. CONCLUSION


In this study, 3D physical modelling was applied to construct ship models and fluid dynamic computational methods were used to simulate two types of ships navigating in restricted waters for analyzing the induced bank effects. The simulation results revealed that the bank effects produced during the navigation of ships were influenced by the following factors: ship type, draft, under keel clearance, trim, list, navigation speed, water depth, channel geometry, distance to bank(BS), and wind pressure. This study only investigated two types of ships navigating at 3 kn along banks with a BS of 0.5 B and 1.0 B. Under such conditions, obvious bank effects were produced, both bank suction and bank cushion, during ship navigation


in regular restricted waters.


Intense bank effects were observed when the ship was close to the bank and far away from the center of the navigation channel, the channel width was narrow, and the navigation speed was fast. Only fixed water depths were simulated in this study; however, it is a fact that the squat effect also increases the intensity of the bank effects. Ship operators can also take advantage of the characteristics of bank effect to help operate ships when turning in channels.


5. 1.


REFERENCES


ITTC 2010. The Manoeuvring Committee, Final Report and Recommendations to the 26th ITTC.


2. LO, D. C., SU, D.T., CHEN, J.M., Application of Computational Fluid Dynamics Simulations to the Analysis of Bank Effects in Restricted Water, J Navigation, Volume 62, pp 477-491, 2009.


3. NORRBIN, N.H., Bank Effects on a Ship Moving Through a Short Dredged Channel, Proceedings 10th Symposium Hydrodynamics, pp 71–88, 1974.


on


4. CH’NG, P.W., An Investigation into Its Mathematics Modeling for a Mechanical and Manufacturing


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5. CH’NG, P.W., RENILSON, L.J., A Method of Calculating the Ship Bank Interaction Forces and Moments in Restricted International Shipbuilding Progress, 1993.


6.


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Procedures, Marine Structures, Volume 23, PP 241-262, 2010. LO,


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9. ZHOU M.G, MA S.J and ZOU Z.J, CFD-Based Hydrodynamic Analysis for a Ship Sailing Along a Bank in Restricted Waters, International Journal Maritime Engineering, Volume 155, Part A2, PP 49-58, 2013.


10. MA S.J, ZHOU M.G, ZOU Z.J, Hydrodynamic Interaction Among Hull, Rudder and Bank for a Ship Sailing Along a Bank in Restricted Waters, Journal


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12. WEI, G., A Fixed-Mesh Method for General Moving Objects, Flow Science, Inc, 2005. BAHA, M.S., Identification Finite-Degree-of-Freedom Models


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©2015: The Royal Institution of Naval Architects


A-193

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