Figure 1 - The Coordinate Systems 



X = ^ + x' + (z' - Zq) l]j 



y = y' 



z = t, — x' l|j + z' 



[2] 



If an ideal incompressible fluid is assumed, there exists a velocity 

 potential, $(x,y,z,t), satisfying Laplace's equation, such that its gradi- 

 ent is equal to the velocity of the fluid. This function must satisfy the 

 following boundary conditions: 



(1) On the body, the normal velocity component of the body must equal 

 the normal derivative of $. For a body of revolution defined by the equa- 

 tion r' =R(z'), where r' = \/x"^ + y , this boundary condition may be 

 expressed by the equation^ 



