Line of Symmetry 



Figure 184 - Plate in a stream: one of the free 

 streamlines. (Copied from Reference 1.) 



Figure 185 — Plate in a stream: a 



few streamlines. (Copied from 



Reference 8.) 



On the lamina the variables are real, so that 



dt 2 I diu 



= c?s = - l,diD - - 2c^ — , q = 



/3 \ dz 



F^^-pc 



and 



[113k] 



npl 



77 + 4 



[1131] 



using Equation [113a] and Equation [113d]; the integrals can be simplified by substituting 

 t = 1/m, and the integral from -<^ to -1 equals that from 1 to +0° by symmetry. 



In the more general case in which the velocity at infinity is V, the functions w, <fi, ip 

 and all velocities are multiplied by U, but the geometry of the flow net is unaltered. The 

 force is multiplied by U'^. 



284 



