SOLUTION SHEET FOR PROGRAM 102R 

 Development of the equation: 



From conservations of energy 



yH y i 



-Y" Cg cos a = -^g — Cgi cos ai 



H.2 (1) 



Cg = c = 



Cb = v^gdb = »^gHb/K 





Hb 



K = 1 



.16/_^\°-^^ 



where the subscript i indicates incident wave parameters. 



If left hand side of above equation represents conditions at breaking then 



(2) 



where *^ = "T^ (3) 



db 



Now assume k = 1.16 ( > .^ ' \ ' (4) 



where Hq is unrefracted deepwater wave height. 

 Using (1), (2), (3), and (4) it can be found 



Hb =|(f)'^' Hi2 Cgi cos ai}"/' (5) 



From Snell's law of refraction 



sin ab sin a± 



therefore. 



Cb Ci 



s.„.. = (^)|(|„,f^l 



102R-2 



30 



