which relates the period of the fundamental seiche-type oscillations in 

 the model with those of the prototype. The input to the model is defined 

 as the variation of the water surface elevation at the entrance of the 

 model area. For a periodically varying input 



7}j = Hj cos -^j- (2-86) 



where T is the period of oscillation of the test waves. In accordance 

 with equation 2-81, since 



and 



then. 



and 



(7) '(di-^^'T^L ^'-""^ 



m 

 ^ ' - ' ^ cos 27r -YJ C2-87b) 



P 





(2-88) 



(2-89) 



The relations expressed by equations 2-85, 2-88, and 2-89 are the 

 conditions necessary to assure similarity of long-wave action, model 

 to prototype, for distorted-scale models. For corresponding times and 

 corresponding locations, from equations 2-77, 2-78, and 2-79, 



^Tif^l) = bn^2\ (2-91) 



and 



(gi/^df-) ^(gi/^V) • ^'"''^ 



'P 



In distorted-scale models the boundary condition of equation 2-65, associ- 

 ated with fixed vertical walls, remains unchanged for the model and the 

 prototype, since I and m have like values for the model and the proto- 

 type. The boundary condition of equation 2-66 is also unaffected by scale 



45 



