Abstract
An analytical closed-form solution to the transformed equation that must be solved for the thickness problem in thin-airfoil theory is obtained by expanding the airfoil thickness function in a trigonometric series. Contrary to implications of previous studies, it is shown that the thickness function will contain cosine terms whenever a sharp edge is present and sine terms whenever a rounded edge is involved. Conditions that the constants An and Bm must satisfy the following conditions. For airfoils closed at both ends, for rounded edges, and for sharp edges. Expressions for the thickness functions, thickness/chord ratios, and leading-edge radii of elliptic, Joukowski, and biconvex airfoils are tabulated. The biconvex airfoil is found to be represented by cosine terms
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