The results from the simulation become input into a sediment-transport function. The 

 function chosen for investigation was the Ackers-White (1973) formula. This total-load 

 formula is based on dimensional analysis with empirically determined exponents. The 

 formula takes the form 



O s 



Ud 



where 

 Qs 

 U 

 D 35 



d 



u* 



En 



d 



'Ei. 



F-A 



(1) 



volume of sediment transport per unit time per unit width 



depth-averaged velocity 



sediment diameter of the bed greater than 35 percent by weight 

 of a representative bed sediment sample 



water depth 



shear velocitv 



In the equation, 



F = 



V-" 



U 



-o 



(2) 



Ps-P 



gD 3 



where 



p s = density of the sediment 

 p = density of the fluid 



Also, if the function D* is defined as 



Ps~P 



IX 



D„ 



P o 

 where 



v = kinematic viscositv 



(3) 



Then, for D* > 60, 

 n = 

 A = 0.17 

 m = 1.5 

 Cj =0.025 



(4) 



44 



Chapter 4 DMS-Analytical Toolbox 



