TM NO. 377 



All terms involving time average products of mean values and fluctuations 

 vanish, sirapliffcying the equations considerably^ By regrouping terms; 



d-t fdx L^x^ ai'j ^x di- -* 



and 





Using the equation of continviity for turbulent velocity components obtained 

 with equations (A=62) and (A-73)5 the result is; 



^^^Uj'^^ (A=79) 



Equations (A-77) and (A-78) may be put in the following form, with the assump= 

 tion of no mean motion in the vertical {u)eD)". 



L'^P^r.A^d CiTihl 



Consider the relative magnitudes of the viscous and dynamic pressure terms in 

 equation (A-80)o Realistic values for the terns *^^)^ and u'* could be 5 cm sec"-^ 

 per 10 meters and 50 cm sec "3.., respectively,, for a wind wave regime <= For 

 V =; 10-2 gm cm-l sec"l^ the ratio 



This small ratio indicates that the molecular viscosity term in equation (A=8o) 

 may be neglected. Also, assuming that the term is vanishingly small, we obtain 

 the simplified momentum equations : 



and 





A=15 



