Figure 105 — Streamlines around a circular cylinder in translation with 



circulation around it 157 



Figure 106 — Same as Figure 105 but with circulation four times as strong 157 



Figure 107 — A line vortex at ' ' 6" near a circular cylinder in a stream 158 



Figure 108 — Streamlines near a circular cylinder 159 



Figure 109 — Symmetrical streamlines near a circular cylinder 160 



Figure 110 — Illustrating direction of the lift on a cylinder 162 



Figure 111 — Diagram for calculation of the lift 163 



Figure 112 — Force on element ds of the surface of a cylinder 164 



Figure 113 — A line source at ' ' a" near a cylinder C 168 



Figure 114 — The Joukowski transformation, z' = z + c^/z 174 



Figure 115 — Diagram for Equation [77d] 175 



Figure 116 — The ^-circle goes into an arc on the s ' plane 177 



Figure 117 — Streamlines past a circular arc without circulation 179 



Figure 118 — Streamlines past a circular arc with no circulation about it 180 



P'igure 119 — Noncirculatory streamlines about a semicircular arc 180 



Figure 120 — Symbol relation for oblique motion of a circular-arc lamina 181 



Figure 121 — Flow with finite trailing velocity around an arc-shaped lamina 182 



Figure 122 — Pressure differences above and below the lamina 183 



Figure 123 — A general Joukowski transformation 184 



Figure 124 — Construction of an airfoil contour 186 



Figure 125 — Flow without circulation past a Joukowski airfoil 187 



Figure 126 — Streamlines past another Joukowski airfoil 188 



Figure 127 - Profile of U.S. Navy Strut No. 2 and similar Joukouski airfoil 189 



Figure 128 — Flow without circulation past a similar profile 189 



Figure 129 — Elliptic coordinates 193 



Figure 130 — Flow parallel to major axis past an elliptic cylinder 194 



Figure 131 — Flow past an elliptic cylinder 197 



Figure 132 — Flow past an elliptic cylinder 199 



Figure 133 — Flow past an elliptic cylinder with a = 45 degrees 200 



