Yim 



As examples, we chose parabolic ship hulls with point doublet bulbs at the 

 bow and the stern. Considering the image system mentioned above we plotted 

 the body streamlines shown in Figs. 4 and 5. The interference between the ship 

 and the bulb in reducing the ship entrance angle seems to be important, although 

 this must be less severe than the case of the double model of the whole bulbous 

 ship where not only the regular waves but also the local disturbances on the 

 free surface are totally neglected. 



ACKNOWLEDGMENT 



Thanks are due to Mr. M. P. Tulin for his helpful discussions and for his 

 reading of the manuscript. 



REFERENCES 



1. Inui, T., "Wave Making Resistance of Ships," Trans. SNAME 70:283-353 

 (1962) 



2. Yim, B., "On Ships with Zero and Small Wave Resistance," International 

 Seminar on Theoretical Wave-Resistance, 1963 



3. Lunde, J.K., "On the Theory of Wave Resistance and Wave Profile," 

 Skipsmodelltankens Meddelelse No. 10, 1952 



4. Havelock, T.H., "Wave Patterns and Wave Resistance," TINA 76:430-443 

 (1934) 



5. Havelock, T.H., "The Calculation of Wave Resistance," Proc. Roy. Soc. 

 A144:514-521 (1934) 



6. Yim, B., "Some Recent Developments in the Theory of Bulbous Ships," in 

 "Fifth Symposium on Naval Hydrodynamics: Ship Motions and Drag Reduc- 

 tion," Office of Naval Research, Department of the Navy, ACR-112, 1964 



7. Yim, B., "Analysis of Spherical Bulbs on a Ship Bow," Hydronautics, Inc., 

 Technical Report 117-8, 1965 



8. Pien, P.C, "Some Experimental Results of Hull Form Research," David 

 Taylor Model Basin Report 2144, Nov. 1965 



698 



