Wavemaking Resistanoe of Ships with Transom Stern 



{1 when m = 

 (20) 

 2 when m ^ 1 



Lw = tank width where the ship is tested, 

 P+lQ=r (r(x,y,z)expjkb(zb+ix) +i2Try^f dS(x,y,z) (22) 



'Substituting in Eq, (22) all the source distributions for the 

 bare hulls, the transom stern, and the bow bulb, and performing the 

 integration, we obtain 



^ SirYHlf i ^ 2 w^/ 



Vw / 



klD - 4Tr tik D L 



(24) 



^■=[{'--H{^?J:b-;;fir}^^^^^^]-<"' 



Pj = cos (kb) exp (kz,b^) (25) 



(26) 

 Qg = (27) 



Q3 = - sin (kb) exp (kz b^) (28) 



where subscripts 1, 2, and 3 correspond to the bare hull, transom 

 sink, and bow bulb, respectively, 



E = jl - exp (-kb^^j-iy (29) 



kb 



P = P, +aP2 +-^P3 (30) 



579 



