as well as S(l) = 2a/A (1) as a function of the fetch parameter 

 gx/v^, or the duration parameter gt/v, "/hen considering the growth 

 of amplitude of the [3(l)-wave. A(l) as given by (68) is a function 

 of the wind velocity. 



The wave height is 



H = 6-A = 1^ Sv^p^ . 



Therefore H will be represented at a given wind velocity by the non- 

 dimensional parameter 



~ = 27r6p^ . (90) 



V 



Because 6 = f(p) as given by (17) and (18), and p is related to the 



fetch parameter or duration parameter by (89), the relation (90) 



may be written 



gH _ ^,gt. 



£f = (J(^), or ^ = f(^) . (89a) 



With all this, the wave elements (p, 6 or <r , A , T and H) are re- 

 lated in a nondimensional form to the fetch parameter or the dura- 

 tion parameter. 

 From (18), 



I2 = 47rpp2 = o.78p^ ; P<l/3 , (91) 



2 



V 



and from (17) 

 2 



^ = 4Trn e-^P p2 = 1.35e-^P p^ l/3<P<Pj,, (92a) 



V 



and 



^ = 47rn e-^^*p*2 = 1.356"^^*?*^ l<P*<Pm* ^^^^^ 



V 



Equation (92b) has a maximum value when p* = 1.191. That means, 



98 



