Yim 



0- = (Ti + OTg (14) 



with 



B = B, + B, (15) 



'I ' -"2 



where B is the beam of a superposed ship. 



For the transom stern, a triangular shape of stern draft is 

 considered as 



z=±Qry-Hs/L, in -^<y<^ (16) 



where a denotes the deadrise which takes on a negative value for 

 y < 0, and a positive value for y > 0, 



Hs L B 



(17) 



is the maximum stern draft; and a is a parameter to be determined 

 for the total optinaum wave resistance. Following Ref. 1 , the source 

 distribution for the trcinsom stern is taken as 



although actual shape of the transom stern corresponding to this 

 source distribution will be found later by streamiline plotting. In 

 addition, a point source located at bow stern, x=-i,y = 0,z = z, 

 with the strength <y^ is considered as a source type of bulb that con- 

 tributes to form a closed body with the sink distribution at the stern 

 as well as to reduce bow waves. 



IV. WAVE RESISTANCE 



The wave resistance due to the source distributions mentioned 

 previously can be written according to Sretensky [ 8] 



(19) 



where 



578 



