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      angle was carried on for both displacements and is shown in Figure 4. For the lower displacement the
      optimum wedge angle agreed with the designed hull while, for the higher one, the wedge angle should
      be increased to a = 10,9'.
      To verify the potentialities of the software for preliminary studies the flow lines were calculated and
      the positioning of the bilge keel checked. The results of this work is shown in Figure 5 were the
      numerical results are compared with two previous options, one suggested by a Brazilian shipyard and
      the  second, obtained by  flow analysis on towing tank.  It  is clear that  the  agreement between the
      numerical result and towing tank are consistent.


















                       Figure 4: CW vs. F,  for different stern wedge angles (a)

















                        I
                              Figure 5:  Positioning of Bilge Keels

      5.2 ITTC Model Results

      The total resistance coefficient, CT , the sinkage and trim obtained in the towing tank are compared
      with the values collected by Tanaka (1990) in Figure 6. The sinkage and trim agree reasonable well but
      the total resistance coefficient are lower as the appendages were not included.

      The numerical wave resistance coefficient is compared with the wave pattern term in Figure 7 and
      plotted  in  Figure 8  for  comparison with  the  residual resistance coefficient, CR, calculated by  the
      original Froude hypothesis. A second line was included in which the CW value was increased of the
      form factor (1 +k) = 1,4 as suggested by Tanaka (1 990). As expected for this speed range the spray
      component has a significant contribution on the total resistance.
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