Submerged Two-Dimensional Bodies 



277U 



= +0.04 



0.04 



168 



when < j < 2 , 



(65- 3j ) when 3 < j < 10 , 



(14a) 

 (14b) 



where j = 0, 1, 2, etc., refer to the sources at x = 0, 0.1, 0.2, etc. 



The stream function for this singularity distribution in a uniform flow (ve- 

 locity = U) with no free surface is 



>I'(x,y)=Uy+ E^tan-^ ^_J^^^^ 



(15) 



j = o 



The body is given by the streamline ^ = 0. Hence the equation of the body is 



L 



j = 



} ] -1 y 



27T\]I X- (j/10) 



(16) 



The cross section of the body is seen in Fig. 1. In terms of the selected 

 unit length, the chord length is 1.09 and the thickness is 0.374. The unit length 

 used here is, for numerical examples as well as for the experimental work, set 

 equal to 1 foot. 



Fig. 1 - Singularity representation 

 and the cross section of the body 



601 



