c^(p) = ^ (1 - p)^ . 

 With the condition (39) we get 



^3 = ^ ^' <"g^ , . (40) 



p'sd - ^r^ 



If ^ = 0.018, g = 980, p' = 1.25.10"^, s = 0.095, P =1/3' 

 and 6 = O.I38, then v = 120.3 cm/sec for the wind velocity necessary 

 to generate and maintain this type of initial wave motion with a 

 steepness of 6 = O.I38 and a phase velocity O" = -r v. This result 

 agrees fairly well with the more exact computations on the generation 

 of initial waves given in a previous paper [14]. In this special 

 case a slightly higher wind velocity would result from more accurate 

 considerations, that is, v = 122.7 cm/sec. The small discrepancy 

 of 2.4 cm/sec is due to the fact that in (39) or (40) the effect of 

 capillarity is neglected. For practical purposes, capillarity effects 

 only become important if the wave lengths are smaller than, say, 10 

 cm. Therefore only when considering the generation and maintenance 

 of primary wavelets, does surface tension have to be taken into ac- 

 count. 



In Table 3, some numerical values of the coefficient of eddy 

 viscosity (coefficients of turbulence) are given for different wind 

 velocities and for three distinct stages of sea development. M is 

 the value for fully developed sea as given by (36), M(l) is the value 

 given by (37) for the state § = 1 and M(pj^) the value for ^^ as given 

 by (38), when p = p . For very weak winds (1-2 m/sec), the coef- 

 ficients of eddy viscosity approach the value of ordinary viscosity 

 in the first stages of wave formation. But with increasing wind velo- 

 city and Increasing sea, the coefficients of eddy viscosity increase 

 very rapidly, and at moderate wind velocities of about 8-10 m/sec 



71 



