9 



The results of this comparison are not conclusive. For values of 

 j<~0.05 the measured values agree fairly well with the values 

 required by either theory. 



PERCENTAGE OF WAVE HEIGHT ABOVE STILL WATER 



DEEP-WATER WAVES 



^40 



Sto 



01 .02 .03 .04 .05 .06 .07 .08 .09 .10 



Jl 



L 



Figure 2. 



The measured wave profiles are shown in non-dimensional form on 

 Figures 3 to 5. Plotted on the same graphs are the wave forms given 

 by Gerstner's theory: 



X,=R0— /• sin d 



Z, = K — / cos Q 



and by Levi-Ci vita's theory: 



Z,=a cos A-X.+Qfl^A^+^a^p") cos 2kX,^ 



+('|a^Fi-|||a5p') cos ZkX-^a'B cos ^kX,^ (7) 



+ 5^a^A:* cos bkX^ 



where 



"""2 er'' 12288'^'' 



