Page 246 - Practical Ship Design
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208                                                             Chapter 7


                - Large unfaired hubs of C.P. propellers. These can have quite a large drag, but
                  are not fitted when the resistance is measured and the effect may appear as a
                  reduction in propulsive efficiency
                - Bilge  keels  used  to  be  assumed  as  included  in  the  naked  power,  but  as
                  mentioned in $6.2 the resistance of these is now added as an increase in the
                  wetted  surface  area. The  importance  of  taking  great  care  to  align  these
                  appendages with the stream line flow in the region in which they are fitted
                  must be emphasised.
                - Fin stabilisers
                - Bow rudder andor bow propeller.  Bow  or stern thruster  openings.  These
                  must be carefully married into the lines, and indeed the lines may need to be
                  modified to accommodate them. It is worth noting that the additional resist-
                  ance of a bow propeller can be significantly less behind a bulbous bow than
                  behind a conventional bow.
                - Sonar domes on warships and research vessels
                - Cathodic protection anodes
                - Moon pools on oil exploration and offshore production vessels
                - Hopper doors and the ship side slides for the overboard suction pipe trunnions
                  on dredgers. All these can cause a considerable increase in resistance which
                  can, however, be minimised by careful design.


              7.3.2 Some approximate figures for appendage resistance

              Some approximate figures (regretfully as factors based on the naked resistance)
              which should be used with care are:
                Twin rudders                0.0 15
                Twin screw bossing          0.10
                Shaft brackets and open shafts  0.06
                Fin stabilisers             0.02
                Sonar dome                  0.01
              If there is more than one appendage the appropriate factors should be added.
                An alternative treatment of appendage resistance is suggested by Holtrop and
              Mennen in their papers to which reference has already been made. This calculates
              appendage resistance based on their wetted surface area using the C, value for the
              ship according to the 1957 ITTC formula.

                                        .
                                    .
                Rap, = 112 . c, . r. sapp v2 (1 + K*)                          (7.19)
              Approximate K2 values are quoted as follows:
                Rudder behind skeg          1.5-2.0
                Rudder behind stern         1.3-1.5
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