Thus at infinity q^= - [J cos 6 and qn = U sin 9, so that the flow is parallel to the a;-axis and 

 directed toward negative x U U > 0. On the cylinder q = \qa\ and qg - 2V sin 6 + V /{2n a). 



The constant T represents the circulation around any closed curve encircling the cyl- 

 inder once in the positive direction, or in the direction of increasing 6. For 0, like 6, is 

 many-valued; <p decreases by T in going around the cylinder. 



The streamlines for P = 0.6 {^nalJ) are illustrated in Figure 103, and for F = 6n-of/ in 



Figure 103a 



Figure 103b 



Figure 103 - Flow net for a stream with circulation past a circular cylinder, and 



distribution of pressure over the cylinder, plotted against 6. See Section 69. 



(The flow net is copied from Reference 8.) 



153 



