where the derivative in [8b] is evaluated on the surface of the body in the 

 direction of the outward normal to the body. If the body is moving with veloc- 

 ity V parallel to the x-axis the boundary condition becomes 



(%l - " V C0S * 



[9: 



where p is the angle between the outward normal to the body and the x-axis. 



It is desired to obtain a solution of [2] or [4] which satisfies the 

 boundary conditions [7] at infinity and [8] or [9] on the body. 



METHOD OF AXIAL DISTRIBUTIONS 

 SOURCES AND SINKS 



The potential and stream functions for a point source of strength M 

 situated on the x-axis at x = t are 



*=l *-M(-l + i£L) 



JO] 



where 



= (x - t) 2 + y 2 



[11] 



If the sources are distributed piecewise-continuously along the x- 

 axis between the points a and b (see Figure 1) with a strength ^(x) per unit 

 length, the potential and stream functions are 



«-r 



Ai(t) 



dt 



"12 



* = j%(t)(-l +^) 



dt 



:i3] 



Figure 1 - The Meridian Plane 



