exponential, and power-law equations. Of the 14 pairs of vertical consistency 

 test sand flux distributions, 10 had the highest squared correlation coeffi- 

 cients with a power- law fit, three were best fit with an exponential relation- 

 ship, and one was best described linearly. The majority (5 out of 7) of the 

 shoreward and seaward consistency test data sets had similar coefficients and 

 were described by the same type of equation. These favorable comparisons 

 between the transport rate densities and the form of the vertical flux 

 distributions between two closely spaced traps suggests that the streamer trap 

 and nozzles are consistent and provide reproducible time -integrated measure- 

 ments of the transport rate . 

 Temporal Sampling Method (TSM) runs 



43. Thirty-nine transport rate densities measured in six SUPERDUCK TSM 

 runs for which wave data were available (see Table 2) were used to obtain a 

 relationship for the transport rate density 



i = K[pgH ras V (1 + a -^2» + p Ix) + const.] ( 4 ) 



where 



k = empirical coefficient 



p = density of seawater 



g = acceleration due to gravity 



V = mean longshore current 



a = empirical coefficient 



B = empirical coefficient 



dtfj^s/dx = local cross -shore gradient of wave height 

 Root-mean- square (rms) wave height was used because correlations were always 

 slightly higher with rms wave height than with significant wave height. 



44. Standard formulas for the transport rate density i derived from 

 either a bottom shear stress approach (e.g., Komar 1971) or a wave energetics 

 approach (e.g., Inman and Bagnold 1963) reduce to a leading dependence on the 

 product of wave height and longshore current speed if linear shallow-water 

 wave theory is employed. Thus, as a first step, Kraus , Gingerich, and Rosati 

 (1988) plotted measured transport rate densities with respect to the quantity 

 Pgtt xms V . The result is shown in Figure 18, in which the straight line is a 



44 



