and 



.1/3 .. . / ^.v4/3 



^.-^ST^i^''^) ■ 



In the above equations by Keulegan, the Reynolds number is 



PHjXD 

 Rn = -2dT7> t4-37) 



where 



H-j^ = incident wave height 



H^ = transmitted wave height 



d = water depth 



T = wave period 



V = kinematic viscosity 



D = characteristic linear dimension of the 10 percent 

 smaller than quarrystone in the core material 



AL = average width of the core material section 



g = acceleration of gravity 



P = porosity of the core material; i.e., 



Vt - v.. 



(4-38) 



Vt 



where subscripts T and v refer to total volume and volume of voids, 

 respectively. The use of Keulegan 's equations to minimize scale effects 

 in wave transmission is based on the requirement that, to obtain simi- 

 larity. 



Thus, prototype values of H^, T, d, X, P, AL, and D are substituted in 

 equations (4-33) and (4-34b) to determine (Hi/H-j-) . This value (from 

 eq. 4-39 equals (Hj^/H^) ), together with the model values of Hi, T, d, 



A, AL, and v, is then substituted in equations (4-35) and (4-36b) to 

 determine the required value of D^. The corresponding value of K can 

 then be determined from equation (4-32) . 



226 



