4o 



1.0 





f/L. * 0.125,17 = 1- 



7.l4f* + 

 II.95? 2 + 



18.93^- 



12. 79? 6 , 



i> = 0.58, 



\-- 15.30 

 t = 20.44 









f/L = 0.2 



5,17 = 1- 



3I.I2? 4 - 



20.I7? 6 , 



t - 0.36, 







0.8 



















t N 

























0.6 











































0.4 











































0.2 











s. f 



0.1 25/^ 











































































0.2 































\ f 

 \ L 



= 0.25/ 











04 























0.5 



0.6 



0.7 



0.8 



Figure 23 - Doublet Distribution for Least Resistance, 



Two-Parameter Forms, F = 0.408, y= 3 



o 



When ? = 3 the distributions shown on Figure 23 are obtained. We 

 note again the difference in the shapes when f/L = 0.125 and f/L = O.25. Ex- 



tending the calculations to y 



4 and y = 5» curves of more and more "rea- 



sonable" character are obtained as shown in Figures 24 and 25. 



The apparent failure of the theory to yield useful results in some 

 cases, is often due to lack of suitable conditions imposed. There is no 

 reason, for instance, to expect a solution which leads to a "normal" prismatic 

 coefficient if no restrictions as to this coefficient are made. On the con- 

 trary, it is rather fortunate that one obtains results which meet other re- 

 quirements of practice (i.-e. , are "reasonable"), without this restriction in 

 certain ranges of Froude numbers. 



5.2. ISOPERIMETRIC PROBLEMS, ONE- PARAMETER FORMS 



Introducing a condition 4> = const we obtain an isoperimetric pro- 

 blem. Then Equation [34] retains only one arbitrary parameter. This can be 



