maximum channel velocity during a tidal cycle, V^, the ratio of bay to 

 sea tidal amplitude, ag/a^,, and the phase lag, e, as a function of a 

 friction coefficient, K , and a frequency coefficient, K2 [Figs- 2, 

 3, and 4). He defines 



A TV 

 G rn 

 V = z , (1) 



agA^F 



•^1 =2lf-' (2^ 



and 



'2 T 



K -|1 j^, C3) 



"G 



where V^ is the maximum velocity during a tidal cycle and 



F = ke„ + kg^ + ^ . (4) 



With values of ag, T, kg^, k , f, L, R, A^., and A^, K and K can be 

 evaluated from equations (2) and (3); V^, ag/a2j, and e determined from 

 Figures 2, 3, and 4; and V^ calculated from equation (1). Note in 

 Figure 3, for certain K and K values, a^j/ag > 1 (i.e., bay range 

 is amplified). This occurs when the inertia of the water in the channel 

 exceeds the frictional resistance. 



The major assumptions made in the development by King (1974) are: 



(a) The sea tide is sinusoidal; i.e., rig = Sg sin 27rt/T 

 where t denotes the time elapsed. Since the channel re- 

 sistance is nonlinear, the channel velocity and bay tide 

 will not be sinusoidal. However, for a first approximation 



V - V^ sin 27rt/T and n^j - a^j sin 2TTt/T can be assumed. Thus, 

 the average velocity over the flood or ebb phase of a tidal 

 cycle is approximately equal to (2/3) V^. 



(b) The bay water level rises and falls uniformly (i.e., 

 bay water surface remains horizontal). This assumption re- 

 quires that the tidal period be long compared to the time 

 required for a shallow-water wave to propagate from the 

 inlet to the farthest point in the bay; i.e., 



t » -%= (5) 



-KING, op. cit . , p. 9. 



