forces on a horizontal cylinder would be too small by 30 percent; however, this statement is 

 based on a comparison with only one set of data. Good qualitative agreement was found 

 between measured and predicted wave profiles. ■ 



Finally, based on the results of both the analytical and experimental validity studies, it is 

 concluded that the Stream-function theory is best suited for engineering design purposes. It 

 was decided to tabulate variables that would be of use in engineering design as calculated 

 from the Stream-function theory. The next section describes the variables included in the 

 tables. 



IV. DESCRIPTION OF TABLES 

 Introduction 



An attempt has been made to include in the tables those variables of greatest present 

 engineering interest and application. In addition, other variables were included which would 

 be relevant to checking the relative analytical validity of other theories or variables which 

 were of scientific interest and could conceivably be required for engineering in the future. 

 Variables have been included which describe the detailed kinematics of the waves and also 

 which represent, e.g., the integrated effect of the flow on a structural member. 



It is not possible to assemble in concise tabular form all variables that could be of 

 engineering use. It is feasible to tabulate the dimensionless drag force for all vertical piling 

 extending from the bottom up to a certain level. It would not be feasible, however, to 

 concisely tabulate the total drag force on members with all possible incUnations relative to a 

 vertical. 



Forty sets of dimensiordess wave conditions were selected for tabulation. Each case is 

 characterized by values of h/L^ and H/L^. The parameter h/L^, ranged from 0.002 to 2.0 

 and covered the relative depth range from shallow to deep water. The 

 parameter H/L^ included wave steepnesses ratios: 0.25, 0.5, 0.75, and 1.0 of the breaking 

 wave steepness for each of the 10 h/L^ values tabulated. Figure 23 shows the 

 dimensionless wave conditions selected for tabulation and also indicates the referencing 

 notation for the cases. 



All tabulated variables are presented in dimensionless form. The description of these 

 variables is presented in the following paragraphs and in Tables D, E, and F, where generally 

 the following are included: the equation for the variable, the dimensionless form of the 

 variable, an equation number for reference purposes, and the table number in the wave 

 tables. To reduce confusion, it should be noted that the tables presented in this report are 

 denoted by letters; the wave tables are identified by Roman numerals. 



Variables Presented in Tabular Form 



Three classes of variables are tabulated: (1) Internal field variables, depending on d and S, 

 (2) Variables depending on d only, and (3) Overall variables which have a single value for 

 the entire wave, for example the wavelength. 



38 



