Figure 154 - Two equal line dipoles at_(0, -b), with transverse axes 

 (parallel to x). For the near-circle see Section 933. 



On the 2;-axis w = w, and on the y-axis u = u^ where 



u^= - U + 2n 



x^ - Y 



(x^ + b^) 



, w, = - t; - 2fi 





[93h,i] 



There is flow symmetry about the plane y = 0, mere geometrical symmetry about a; = 0. 



A. T-wo Line Dipoles Alone. If f/ = 0, the flow is that due to two equal line dipoles 

 whose axes are parallel but directed at right angles to the line joining the locations of the 

 dipoles, which are at (0, - b)\ the dipole axes have the direction of the ar-axis. Stagnation 

 points occur on the a;-axis at (+ 6, 0); streamlines run to these points, divide, and continue 

 in opposite directions along the a;-axis. Some streamlines are shown, above the a;-axis only, 

 in Figure 155. 



229 



