The maximum velocity occurs at the middle of the sides, where \ = 0, and is 



\U\ 



(1 - cos mn). 



[89m] 



2m' 



The edges are stagnation lines; for, with < m < 1, cosh A/cosh (X/m) -» as A -> - oo. 



Half of the symmetrical streamlines past such a cylinder are illustrated in Figure 143 

 for m = 0.88, y = 158 deg, and by the upper part of Figure 144 for m = 0.71, y = 127 deg. In 

 both cases the pressure in steady motion is shown as p - p^, along the surface of the cylinder 

 and the outlying parts of the plane of symmetry. The case m = 1/3, y = 60 deg is illustrated 

 in Figure 157, page 232. U m = 1/2, the cylinder is circular . 



Figure 143 — Streamlines past a symmetrical circular-arc cylinder, and pressure p 

 in steady flow, either on the cylinder or in the fluid along the a: or y axis. 



Figure 144 — Streamlines near a thin sheet 

 containing the x axis except for a circular- 

 arc buckle, and also the pressure p on 

 both sides of the sheet and the buckle 



215 



