62. Straight Spout 140 



63. Diverging Spout 142 



64. Two-Dimensional Pitot Tube 143 



65. Lamina between Walls 146 



66. Laminas or Cylinders and Surfaces 148 



CIRCULAR CYLINDERS 148 



67. Symmetrical Flow Past a Circular Cylinder; Dipole in a 



Parallel Stream, or Inside a Coaxial Shell 148 



68. Translation of a Circular Cylinder 151 



69. Flow with Circulation Past a Circular Cylinder 152 



70. Translation of a Circular Cylinder with Circulation 156 



71. Cylinder and Vortices in a Stream 158 



FORCES ON CYLINDERS 160 



72. The Distant Motion 160 



73. Lift on a Cylinder; the Kutta-Joukowski Theorem 162 



74. The Blasius Theorem 164 



75. The Lagally Theorems 168 



76. Kinetic Energy in Translational Motion 170 



AIRFOILS 173 



77. The Joukowski Transformation 173 



78. Circular Arcs by the Joukowski Transformation 177 



79. The Joukowski Airfoils 183 



80. Improved Airfoils r 189 



VARIOUS CYLINDERS 190 



81. Circles Into Ellipses 190 



82. Elliptic Coordinates 192 



