Note on the Kutta condition in Glauert's series solution of the thin airfoil problem
Abstract
The classical Glauert series solution of the thin airfoil problem is considered. Glauert's solution involves a transformation of the independent variable, and a Fourier sineseries expansion. It is shown that the sineseries does not imply the Kutta condition. The Kutta condition is satisfied only if the (usually tacit) assumption is fulfilled that divergent series are excluded. This is due to the square root singularity being transformed into a nonintegrable singularity. The general solution (with an arbitrary circulation strength) can be obtained, in terms of generalized functions, with the eigensolution represented by a divergent series.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1986
 Bibcode:
 1986STIN...8713689R
 Keywords:

 Computational Fluid Dynamics;
 KuttaJoukowski Condition;
 Series Expansion;
 Thin Airfoils;
 Fourier Series;
 Fourier Transformation;
 Integral Equations;
 Sine Series;
 Trigonometric Functions;
 Fluid Mechanics and Heat Transfer