4 5 



# 

 Equation [35] ca n be used for calculating the resistance, or still simpler, 

 R = k[a 3 rn + 4a 2 tt} + 9a 2 ??] + 4a a ?>? + 6a a #1 + 1 2a a 7»? ] 



2 11 4 33 6 55 2 4 13 2 6 15 4 6 35 



[42] 

 The parameters a , a and a are connected with the basic form co- 



2 4 6 



efficients <j> and t by the equations 



a 



= _ 15 + l^^-^ t [43] 



4 

 a„ = 1 - a - a 



6 2 4 



Table 3 contains wave-resistance coefficients r for t = 0, 1, 2, 3 and 

 0.68 > ^ > O.56 with an interval of A<j> = 0.02 within a range of Proude num- 

 bers 1 > P >0.25 (for t = additionally = 0.50, 0.52, 0-54) at a depth of 

 immersion ratio f/L = 0.1 25. 



The corresponding curves spaced A<f> = 0.04 are shown on Figures 28 

 to 35 grouped following t and <f>. The main purpose of these plots is to dem- 

 onstrate the dependence of the wave resistance upon t for <f> = const; it is 

 interesting to note that the peak values (cf page 24) differ as much as —15 

 percent for t = and t = 3, in close agreement with results known from stu- 

 dies of surface ships and the tendency exposed by the minimum calculations. 

 One should, however, remember that theory tends to overestimate the favorable 

 interference effects and that viscosity precludes the realization of excessive 

 angles of run. On the other hand, for very high Proude numbers the relative 

 importance of asymmetry decreases, so that forms with steep slopes at the bow 

 and moderate slopes at the stern may be advantageous. 



SUMMARY 



Using Havelock's basic work and some former investigations by the 

 present author, a systematic synopsis is made on the wave resistance of bodies 

 of revolution. Tables evaluated by the Bureau of Standards and graphs are 

 given which allow the investigator to estimate immediately the wave resistance 

 of a wide class of bodies of revolution defined by doublet distributions along 

 the axis expressed by polynomials. 



Some discussions refer to the relations between this distribution 

 #*(!) and the sectional area of the body A*(|). For "normal" shapes of dis- 

 tribution the usual assumption is made that there is affinity between //*(£) 



