in the state of development of complex wave motion at sea, the long 



wave at a certain stage er" * = 1.191v grows up to a height a little 



larger than its height in the stage of fully developed sea, where 



cr" * ~ 1.37v. But the differences are not very important, likewise the 

 m 



growth of the wave height from the fully developed p(l)-wave to 

 the state of fully arisen p *-wave is of minor importance. Hence, 

 it follows that in the stage of "long wave" -generation the energy 

 supply by wind is used almost completely for an increase of the 

 wave length. (Compare the heights H in Table 10 for these stages 

 of wave development.) 



Tables 8 and 9 represent some numerical results of the theory 

 which may be supplemented by the graphs in figures 15 through 19, 

 and figiu:e 26. These tables and graphs are suitable for determin- 

 ing the characteristics of complex wave generation by means of data 

 from adequate, synoptic weather maps, for given wind and fetch 

 conditions. 



Numerical examples ; 



From Tables 8 and 9 or graphs, at wind velocities of v = 5 m/sec, 

 10 m/sec, 16 m/sec, 20 m/sec, and 24 m/sec, the following character- 

 istics of complex sea, represented in Table 10 can be found. 



These examples show that the minimum fetch (x„) or duration (t„) 

 ^ mm 



needed for generating fully arisen sea rapidly increases with increas- 

 ing wind velocity. At v = 5 m/sec, the complex sea with the three 

 characteristic waves would be fully developed over a fetch x = 13«8 



km, or over an unlimited fetch it would take t„ = 2,25 hours from 

 ' m 



the time the wind starts to blow (with constant velocity). At 



V = 10 m/sec, the minimum fetch would be x„ = 106 km and the duration 



99 



