Since the wavelength is related to the wave period by: 



L = fli tanh 2f^ , (5) 



then the scale ratio for the period becomes: 



n^ = y^/^ . (6) 



The scaling of the wavelength with the vertical scale preserves the 

 refraction pattern, but produces a model wavelength larger by the 

 distortion U = y/X. 



b. Condition 2 . The preserving of the same Froude number F^ based 

 on the grain size and bed-shear velocity gives: 



n ,n^ = n^ . (7) 



c. Condition 5 . The requirement of identical Reynolds number R^ and 

 assuming the viscosity ratio is 1 produce: 



d. Condition 4 . The scale ratio for the bed-shear velocity under 

 turbulent conditions is: 



1/2 1/2 rn-^ 



n^^ = y ' ny . (9) 



e. Condition 5 . The scale ratio for the friction factor is: 



nj = f . (10) 



f. Condition 6 . The kinematic condition for sediment motion becomes: 



!ji ^ 1 , " (11) 



n y 



w 



and substituting equation (3) yields: 



n , = y^/^/A . (12) 



w 



g. Condition 7 . The Stokes sediment particle fall velocity in scale- 

 ratio form becomes: 



"w = "d"t' • ^^■^^ 



