TM Wo. 3I12 



than seroo The actual value of the fimction is about -3.98 cm^sec-S. This 

 simulated value of the stress near the water surface is thus 3 .98 dynes 

 cm~2 which is of the order of magnitude of assumed mean wind stress upon 

 the real ocean s-urface« This model mil be referred to as Biased Random 

 Wave Model (BR) . 



Unbiased Simple Harmonic Wave Model (USH) 



The second set of data is characterised by representing the horizontal 

 and vertical conrponents as quasi -sinusoids-1 functions. Assumed is a simple 

 harmonic T'lave model in the form of an ideal deep water progressive ocean 

 wave as described by Lamb „ This model was derived, assimiing an irrota- 

 tional incompressible fluid in which the wave length is much less than the 

 water depth. 



The component particle velocity com.ponents are described by 



U(X, Z, t) = (TA e-^ ^ SIW (K X - (Tt) (l) 



and ¥(X, Z, t) = - (fA e'^ ^ C0S(K X - (Tt) (2) 



where: A^ K, and 0~ are amplitude (cm);, wave number (cm~l) and circular 

 frequency (sec"-'-), respectively. 



Thus, for a fixed depth Zq and horizontal coordinate Xq we may write 



U(Xo, Zo, t) = U(t) = A» SIAT CTt (3) 



and ¥(Xo, Zq, t) = ¥(t) = -A« COS d~ t (k) 



where A« = (f A e~^ ^o = Constant. 



The second data series is represented in equations (3) and (k) as simple 

 harmonic oscillators mutually out of phase by TT/E or one quarter of a wave 

 periodo Actually ;, the sinusoidal functions were only approximated, since 

 they were hand- drawn over a time -amplitude grid having the proper frequency 

 and amplitude. The data points were then picked off the two curves at 

 A t = Oo3 seconds. The -^/alue of U« W' is identically sero for the long 

 train of graves represented by the sine and cosine fuiictions in equations 



