Analysis of Ship-Side Wave Profiles 



with 



M = 0. 4 for B/L = 0. 12 ~ 0.15 



In Figures 15~17, Equation (14), which we call ii - correc- 

 tion, is also given for comparison with the wave-analyzed result of 

 M 21 (B/L = 0. 1184). 



It is noticeable that the general tendencies of the wave- 

 analyzed correction function are of quite similar tendency to the simple, 

 empirical relation (14), except the higher Froude number Fn>0.30 

 (K Q L < 11). 



At the higher speed range, the inclination of a ( £ ) is gett- 

 ing steeper with increasing Froude number. 



Therefore Equation (14) is modified here to a more general 

 expression, like 



a ( * ) = a + b| £ | (15) 



The results of the generalized straight line approximation, 

 which is applied to the wave analyzed correction function of M 21 , 

 are given in Figure 18 together with the original proposal (14). 



V. COMPARISON WITH TANK EXPERIMENT 



Before entering the discussions on the theoretical basis for 

 the obtained correction function a ( £ ), its justification and useful- 

 ness are examined by comparison with tank experiments on four items, 

 i.e. (i) wave profiles, (ii) wave patterns, (iii) wave-making resist- 

 ance, and (iv) amplitude functions. 



(i) Wave profiles 



By direct integration, the model's side-wave profile is cal- 

 culated from the wave -analyzed source distribution m( £ ), which is 

 reproduced by the plots in Figures 7 ~ 9. 



Its satisfactory agreement with the measured wave-profile 

 (full -lines) makes a striking contrast with the rather poor result of 

 the existing theory (dotted lines). 



693 



