ON THE SEICHES OF LOCH EARN. 



509 



If vTi>2a, this leads to 



The graph of the function 

 is shown in fig. 23. 



07 qo / sm v cos \j \ /n 

 9A i = 33 i\-p '-J-) ^ <7r ) 



(39). 



* = 



sm v cos 



2 



6 



) 



























s 







25Sp 

 5 



















t 



























7 



























6 

 ■5 



























A 



























■3 



























2 



I 





 ■I 





if 







\x 







2a J 

 2X 









6> 





1 = 1 7J 



VT . _„ 



2 



J\ 



4 



5 



6 





7 



8 



9 



W 



} 



























-5 











































® 



M 



—s 











Fig. 21. 



The maximum value of ~bk x is l'Sldp, corresponding to vTj2a = 1*51. Hence, since 

 T 1 =14 , 5 m and 2a = 6 miles, the velocity of propagation of the pressure disturbance 

 which has most effect on the uninodal seiche is about 37 (mile/hour). 



If vT 1 <2a, then 



^s^C^-lj + Jj 



(40). 



Fig. 22. 



This has a minimum value when = 4'0287, and a maximum when = 5*406]. 

 Hence the maximum value of 3^ is given by 



SA-j = 3tt x -082343/j = -7763p . 



The corresponding velocity for the pressure disturbance is about 1 4 (mile/hour). 



12. As a further example, we may take the case where T = T\ as before, and we 



