Harleman (1971), one-dimensional tidal motion in estuaries can be 

 described by the continuity and momentum equations as follows: 



bf.|2-, = (3-3) 



and 



^^u|2.Q|y-.gf^A-^g^ = 0. (3-4) 



dt ox ^ ox ox AC-^R 



In inspectional analysis, the differential equations must first be 

 transformed into dimensionless form. Birkhoff (1950) has shown that for 

 similitude the dimensionless coefficients must be equal in model and pro- 

 totype. Harleman (1971) has shown that the dimensionless coefficients 

 of the fourth and fifth terms of equation 3-4 can be written as 



IF. 

 and 



g^ 



2 



Ci^L, 



where Fj^ is the Froude number and Cj^ is the Chezy coefficient. These 

 coefficients must be equal in model and prototype for the two systems to 

 be dynamically similar. 



It then follows from the first coefficient that 



and since gj. = 1 



Vr = {K)l'^ • (3-5) 



From this basic relation and the continuity equation it can be shown that 



and 



Tr = (^\W . (3-7) 



From the second coefficient it follows that 



- 1 , 



and since g- = 1 





53 



