It should be emphasized that a profile assumption, such as Equation (17b) 

 need not be employed at all but, at this time, lack of experimental data 



forces the use of such an approximation. More sophisticated profile 



14 

 assumptions than Equation (17b) have been made. For instance Okuno 



assumed that 



f(A) = 



l+C ^ 



1-t) (18) 



The parameter C in Equation (18) is governed by an additional crossflow 



14 

 integral equation. Okuno chose the crossflow moment-of -momentum integral 



equation for calculating the development of the parameter C and obtained 



considerably better results for crossflow profile predictions than with the 



Mager model of Equation (17b). However, there still were certain areas on 



the ship hull at which the predicted crossflow velocity profiles were in 



serious disagreement with experiment. The areas of serious disagreement 



between the crossflow profiles given by Equation (18) and the experimental 



ones on the Okuno test model (a Series 60 block 0.70 double model) are very 



close to the stern on streamlines that turn upwards from the keel towards 



the load waterline. From Okuno 's experience, it seems likely that 



further experiments and research will eventually lead to a fairly accurate 



crossflow velocity profile shape function f(A) that involves only one or at 



most two extra parameters. 



This report is mainly concerned with setting the proper framework for 

 the three-dimensional momentum- integral boundary layer computational method, 

 so it will presently be confined to the simplest of the crossflow models, 

 namely that of Mager, Equation (17b). It is hoped that future developments 

 and availability of sufficient experimental three-dimensional boundary layer 

 data will warrant modifications of this method to include a more complete 

 and accurate crossflow model along the lines of the Okuno model. 



By examining definitions. Equations (5b), (5c), and (5f), it is easy 

 to see that S-.^, ^91 ' ^^'-^ ^0 satisfy the relationship 



12 



