Page 513 - Practical Design Ships and Floating Structures
P. 513

488

              2.2 Verification of the Method                            TABLE 1
                                                               PRINCIPAL PARTICULARS
              2.2.1 Comparison of estimated resistance with measured one   (M.S.NO. CA)
              Measurement.
              Yamano et al? show residual resistance coefficient  r,  curves on two   7.385
              conditions  Full-1  and  Full-2  of  a  ship  CA's  1136.3  scale model   0.8833
              (hereafter called M.S.NO.CA).  Principal particulars of M.S.NO.CA
              are shown in Table 1.  Comparison of model ship wave photographs
              taken at the model test between the two conditions reveals
              that the
               most different point in waves between the two conditions
              is  the  forward-oriented wave  breaking  just  behind  the
              transom  stem.  This  is  considered  to  mean  that  the  r,
              difference between the two conditions is mainly due to the
              difference  of  R,,,   . Let  the  difference  of  R,  obtained
              from  r,  between the two conditions be  6R,.
              Estimation.  We  can  estimate  R,  and  R,wbJ on  each  of
              the  two  conditions Full-1  and  Full-2  by  the  methods we
              have developed. Let the difference of estimated stern wave   0.20   F.   0.25
              resistance  R,=R,,wb,  +  R,  between  the  two  conditions  Figure 2:  Comparison of  estimated
              be  6R,.                                      stern  wave  resistance  6R,  with
                                                            measured
              Comparison.  Figure  2  shows  comparison  of  SR,  with
              SR, .  Both  results  agree  fairly  well  in  their  tendency  of  change   with   Froude  number
               F, = vo IK. In    Figure 2, we show also  SR,  and  6R,  besides  SRSw, where  6RSw=
              SR,,   +  CTR,~~. Figure 2 shows that most   part of  SR,  is occupied  by  SR,,   which
              confirms
              that above-described  our assumption regarding the components of  6r,  is correct.
              From above discussion, we  can say that we can use the method we have developed in this paper
              together with those developed in our previous study'.2 to study characteristics of stem waves including
              the forward-oriented wave breaking just behind a transom stem.


              3  SCALE  EFFECT  OF  STERN  WAVES  INCLUDING FORWARD-ORIENTED WAVE
              BREAKING JUST BEHIND A TRNSOM STERN
              3. I  Comparison of Following Wave Resistance with Forward-oriented Wave Breaking Resistance

              Figure 3  shows estimated scale effect of water flow just behind the transom stern of M.S.NO.CA  at
               F,  = 0.25  on Full-2 condition. At each of three similar hulls in Figure 3, water flow layer at the water
              depth from yo=- 6  to yo= - y,  does not break and propagates afterwards as following waves. We can
              estimate resistance due to the remained following waves from this water flow layer  R,-6-yt   by Eqn.
              (5) as follows:
                                                 -YC
                           R,,fi-8-y, = ( p  B,g3"  /2v,n)  l(roz / R"2){e2yn'R -(ro / R)2e4y0'R}dyo   (6)
   508   509   510   511   512   513   514   515   516   517   518