dimensionless groups of Hq can also be placed in a form involving Lq, d, 

 or gT^, and various investigators have stated preferences. 



However, based on overall considerations, the various sets can be 

 considered as follows: 



Hv'k' VLo' P/T, o^> S, i„, y, F,, R,, H„/D, H)= , (14) 

 where, 



the equilibrium (assumed) beach profile is given by the curve y(x) 

 Hq = deepwater wave height for normal approach, 

 P = period from wave breaking to top of uprush, 

 S = a coefficient defining particle shape, 



o. = skewness or other parameter defining the size 

 distribution of the sediment, 



ig = initial slope of the beach, 



y' = submerged density of the sediment, 



F^ = densimetric Froude number, 



R^ = densimetric Reynolds number, 



D = characteristic diameter of the sediment, 



u = characteristic wave-induced velocity, and 



W = fall velocity of the sediment. 



At this stage, most investigators who use the dimensional analysis 

 approach neglect some of the terms in equation (14) based on a number of 

 physical arguments, e.g., 



(a) the ratio P/T will be a unique function of the wave characteristics 

 and the equilibrium profile, and can be dropped; 



(b) R^ is generally dropped because it cannot be modeled in similitude 

 and it is further argued that the breaker zone is fully turbulent] hence, 

 Reynolds number effects are not scale-dependent; 



(c) it is assumed that i has little effect on the final equilibrium 

 profile; 



20 



