A prediction method for squat in restricted and unrestricted rectangular fairways

Abstract The hydrodynamic behaviour of a vessel changes when sailing in shallow and/or confined water. The restricted space underneath and alongside a vessel has a noticeable influence on both the sinkage and trim of a vessel, also known as squat. To assess these influences an extensive model test program has been carried out in the Towing Tank for Manoeuvres in Shallow Water (cooperation Flanders Hydraulics Research — Ghent University) in Antwerp, Belgium with a scale model of the KVLCC2 Moeri tanker. This benchmark vessel was selected for its full hull form, to maximize the effects of the blockage. To thoroughly investigate the influences of the blockage on the squat of the vessel, tests have been carried out at different water depths, widths of the canal section and forward speeds (2 up to 16 knots full scale whenever possible). The squat observed during the model tests is compared with the squat predicted with a mathematical model based on mass conservation and the Bernoulli principle. The correlation between measured and modelled squat for each canal width for all tested speeds and water depths is very good, but shows a constant slope deviation. An improved model for the squat is proposed and takes into account the forward speed, propeller action, lateral position in the fairway, total width of the fairway and water depth.

[1]  R Sellmeijer,et al.  THE EFFECT OF MUD ON TANKER MANOEUVRES , 1984 .

[2]  M Vantorre,et al.  ON SINKAGE AND TRIM OF VESSELS NAVIGATING ABOVE A MUD LAYER , 1989 .

[3]  C C Hsiung,et al.  COMPUTING WAVE RESISTANCE, WAVE PROFILE, SINKAGE AND TRIM OF TRANSOM STERN SHIPS , 1991 .

[4]  Marc Vantorre,et al.  Prediction of squat for underkeel clearance , 2009 .

[5]  Tim Gourlay,et al.  Slender-body methods for predicting ship squat , 2008 .

[6]  T Constantine THE BEHAVIOUR OF SHIPS MOVING IN RESTRICTED WATERWAYS. , 1961 .

[7]  Y Page,et al.  MAXIMIZATION OF SHIP DRAFT IN THE ST. LAWRENCE SEAWAY: VOLUME 1, SQUAT STUDY , 2002 .

[8]  M. B. Rubin,et al.  On the Squat of a Ship , 1984 .

[9]  I W Dand FULL FORM SHIPS IN SHALLOW WATER: SOME METHODS FOR THE PREDICTION OF SQUAT IN SUBCRITICAL FLOWS , 1972 .

[10]  E. O. Tuck,et al.  SINKAGE AND TRIM IN SHALLOW WATER OF FINITE WIDTH , 1973 .

[11]  Tim Peter Gourlay Mathematical and Computational Techniques for Predicting the Squat of Ships , 2000 .

[12]  C B Barrass THE PHENOMENA OF SHIP SQUAT , 1979 .

[13]  Katrien Eloot,et al.  Squat prediction in muddy navigation areas , 2010 .

[14]  Jörg Reinking,et al.  Considerations on the squat of unevenly trimmed ships , 2009 .

[15]  Marc Vantorre,et al.  Advanced model testing techniques for ship behaviour in shallow and confined water , 2009 .

[16]  Katrien Eloot,et al.  AN OVERVIEW OF SQUAT MEASUREMENTS FOR CONTAINER SHIPS IN , 2008 .

[17]  A Millward,et al.  A Preliminary Design Method for the Prediction of Squat in Shallow Water , 1990 .

[18]  C. Brossard,et al.  Navigability in Channels Subject to Siltation Physical Scale Model Experiments , 1991 .

[19]  E. O. Tuck,et al.  Shallow-water flows past slender bodies , 1966, Journal of Fluid Mechanics.

[20]  Jörg Reinking,et al.  SHIPS: A new method for efficient full-scale ship squat determination , 2002 .

[21]  Robert F. Beck,et al.  HYDRODYNAMIC FORCES ON SHIPS IN DREDGED CHANNELS. , 1974 .