SOLUTION SHEET FOR PROGRAM 102R-41CV 

 Development of the equation: 



From conservations of energy 



YH2 ^ Y^i^ r . (1) 



-^-Q— C cos a = -^-5 — '-gi cos a± 



where the subscript i indicates incident wave parameters. 



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



Cg = C = Cb = /id^ = /gH^/K (2) 



where k = -r— (3) 



db 



^ \0 .22 

 Now assume k = 1.16 { ^ ^ - \ (4) 



where Hq is unrefracted deepwater wave height. 

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



Hb =((|) ^^ Hi2 Cgi cos aiy^ (5) 



From Snell's law of refraction 



sin ai) sin ai (6) 



Cb Ci 



therefore. 



sm a\) 



= (^)l(f".)"1 



102R-41CV-2 



19 



