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260                                                            Chapter 8


                A rudder is more effective if its top is arranged with only a small clearance from
              the shell as this effectively increases the aspect ratio and reduces eddies.

              8.7.10 Ship manoeuvring calculations

              Like ship motions, ship manoeuvring has only become the subject of calculations
              in recent years. Considering how important a role a ship’s manoeuvring capability
              can have in the avoidance of  collisions or of  grounding in coastal waters,  it is
              surprising how long it has taken for statutory and classification societies to become
              interested in this capability as an essential safety feature in a ship’s design.
                In the past the interest of these authorities was limited to the time taken by the
              steering gear to put the rudder hard over and even owners seemed content to record
              the turning circle and rarely specified a maximum diameter except for ships where
              manoeuvring was of particular importance. This aspect of design was left almost
              entirely to the shipbuilder and they, in turn, contented themselves with providing a
              rudder area based on a coefficient related to the product of the ship length and draft
              that had given satisfactory performance for a previous ship of similar character-
              istics for which they had records.
                It is not  surprising that quite a number of  ships, particularly  those with high
              block coefficients, have had poor manoeuvring and/or poor course stability.
                Modern  computer-based calculation  methods  take  account of  a rudder force
              coefficient based on the aspect ratio of the rudder, the rudder position relative to
              midships, the flow velocity to the rudder based on the propeller race in which it
              operates and the rudderhull interaction based on the turning velocity of the ship. If
              necessary shallow water effects can also be evaluated.
                Results can be presented for the turning circle, for a zig-zag manoeuvre and for a
              reverse  spiral curve, the last of  these being  used to detect potential  directional
              instability.



                              8.8 THE LINES ABOVE THE WATER LINE

              8.8.1 Section shape
              Above the waterline the shape of the sections can be determined by a number of
              factors. The freeboard at bow, stern and amidships helps to determine the flare. If
              the freeboard is relatively small, the angle of flare must be large partly to achieve
              the required deck area and partly to help limit the water shipped on deck. If the
              freeboard is large both of these objectives can be obtained by a gentle flare.
                Flare at the bow and outward sloping sections aft have been practised for many
              years; more recently, however, the advantage of flaring the midship section has
              been pointed out. This advantage lies in the gain in large angle stability that flared
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