Integral equations in two-dimensional airfoil theory

A system of integral equations is obtained for the tangential components of the velocities on the upper and lower surfaces of a profile which does not have a parametric singularity connected with the thickness of the airfoil. An example of the solution of these equations by the discrete vortex method is given. This shows that they are highly effective for solving problems of flow over an airfoil of any, including arbitrarily small, thickness.