76 



0.8 





_J 



t = 2 l-l 





-^ 





/ / *opt 



= 5,6 F = 0.354 



- 





"^^Cn/ 



/l \ 







^^"^^^ 



/ / \ 





^opt=l4.2^ 



'^— -A 



V^\ 



- 



1 1 1 



F= 0.408-^ 

 1 1 1 



,^^ 



0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 OS 1.0 



Figure 37a 



0.838 F = 0.408 



0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.6 0.9 1.0 



Figure 37b 



Figure 37 - Bodies of Revolution of Least Wave Resistance 



m({) is the doublet distribution (approximate sectional area curve). 



SUMMARY 



Pending a thorough tabulation of Mlchell's Integral, the relations 

 between ship form and wave resistance are of necessity discussed here only In 

 a rather broad way. 



1. The relations involved are generally complicated. Thus It Is not 

 surprising that two seemingly contrary basic properties can be stated: 



a. Under certain conditions the wave resistance can be very 

 sensitive to changes in lines; and 



b. Widely differing hulls can yield equivalent resistance re- 

 sults for given Proude numbers. Under the headings 2 to 8 below 

 some theoretical results are summarized and under 9 to l6 the re- 

 sults of experimental checks are discussed. 



