largely on the depth of water. As can be seen from the figures, typical behavior of a super- 

 critical speed, centerline pressure trace is a building up (from zero) of the pressure near the 

 forepart of the rectangle, a falling off to a negative peak behind it, becoming positive again, 

 and finally approaching zero asymptotically. 



The data presented in Figure 11 is intended as a comparison with the shallow-water 

 approximation. In this example y/L = 0, while the speed is held constant. The traces are 

 for Froude numbers of 3, 5, 7, and 10. (Recall that in the shallow-water approximation H -» 

 while F ■* °°.) As F increases the abrupt pressure jump at the bow and stern becomes more 

 evident, as predicted in the shallow-water approximation. Also with increasing F the bottom 

 pressure directly under the rectangle appears to be approaching the limiting value of one. 



TABLE 1 TABLE 2 



Nondimensional Parameters Used in Examples Dimensional Parameters Used in Examples 



Figure 



h Depth 

 L Length 



C 



F=-= 

 y/gh 



y/L 



2 

 3 

 4 

 5 

 6 

 7 

 8 

 9 



10 

 11 



1.00 



1.00 



1.00 



1.00 



0.6 



0.6 



0.6 



0.25 



0.25 



0.1, 0.2, 

 0.4, 1.1 



0.625 



0.85 



1.5 



2.0 



0.85 



1.5 



0.85, 1.15 



0.625 



1.5' 



3.0, 5.0, 

 7.0, 10.0 



0, 1.0, 2.0 



0, 1.0, 2.0 



0, 1.0, 2.0 



0, 1.0, 2.0 



0, 1.0, 2.0 



0, 0.5, 1.0 







0, 0.25, 0.625 



0, 0.25, 0.5 









Beam 







Length 





Figure 



Depth 



Speed 



Distance Abeam 

 of Centerline 





ft 



knots 



ft 



2 



100 



21.0 



0,100 



3 



100 



28.5 



0, 100, 200 



4 



100 



50.4 



0, 100, 200 



5 



100 



67.2 



0, 100, 200 



6 



60 



22.1 



0, 100, 200 



7 



60 



39.0 



0, 50, 100 



8 



60 



29.9, 22.1 







9 



25 



10.5 



0, 25, 62.5 



10 



25 



25.2 



0, 25, 50 



11 



10.0, 20.4, 

 40.0,111.1 



106.2 







NOTI 



;: L = 100 fee 



t and B = 30 



feet. 



