Tides and Tidal Currents in the Proximity of Land 



343 



standing wave of the independent and of the co-oscillating tide takes the 

 character of a progressive wave, which travels apparently from the opening 

 of the bay to its closed end. If friction does not become too great, the 

 position of the nodal lines continues to be clearly perceptible by the crowding 

 of the co-tidal lines. The node where the amplitude of the tide is zero dis- 

 appears and instead we find a region with minimal range. This minimum 

 is smaller if the friction is greater. The Figs. 142 and 143 show clearly the 



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. 2- 



.c 



V 



§ 3 



i— 



4 

 5 

 6 



6=0-000 



/= 01 2 3 0-4 0-5 0-6 07 0-8 0-9 1-0 



.=0 0-1 0-2 3 4 5 06 7 08 9 i€ 



Figs. 142, 143. Distribution of the phase and amplitude of the semi-diurnal co-oscillating 



tide of a rectangular bay of uniform depth (v = OS) for various values of b. Opening at 



y == 1, where amplitude = 100cm, phase Oh. 



distribution of the phase and the amplitude of the semi-diurnal co-oscillating 

 tide of a bay with v = 0-8 and various values of b. The amplitude at the 

 opening (y = 1) is assumed to be 100 cm, the phase at h . 



For adjacent seas with an irregular configuration and with the same assump- 

 tion for the friction, there is a method similar to the step-wise computation 

 of the independent and co-oscillating tide. 



We assume for the differential equations of the horizontal and vertical displacements a solution 

 in the form 



