LIST OF SYMBOLS (cont.) 



3 

 W = A D y dr Y weight of the solid particle 



3 

 W« = (p - pf )g AD submerged weight of the solid particle 



X, Y semi-amplitudes of displacement from 



irrotational theory 



z dummy variable of integration 



standard normal variable 



coefficient of f2(y) from original smooth 

 plate measurement 



scale parameter for characteristic length 

 associated with f^(y) and f2(y) 



dry unit weight of bed material 



thickness of the boundary layer 



roughness diameter 



normalized standard deviation of turbulent 

 lift force 



-l f 1 (y) sin £ 2 ( - y ^ 



= tan = ? . ; c f \ phase angle 



l-f 1 (y)cos f 2 (y) 



X wave length 



p, = Py Longuet-Higgins notation 



v kinematic viscosity of the water 



5 dummy variable of integration 



p s , p£ density of the solid particles and of 



the water respectively 



c standard deviation of turbulent lift 



force 



z = 



L* 

 Mo 



a - 



: (C(l-C)^j 1 2 



= 



■ (i-T 



Ys 





6 





e 





Tlo 





