円から翼型への等角写像

概要

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A circle whose centre and radius are [numerical formula] and [numerical formula] respectively is transformed into a wing section by a function (1). Changing ε_1, ε_2, f we can get various wing sections. The wing sections thus obtained don't always coincide with given wing sections. It is difficult to find generally ε_1, ε_2, f for a given wing section, ε_1, ε_2, f can be found by the radius of curvature at the leading edge and that of curvature at the trailing edge respectively and by the sum of the ordinate of the upper surface and the ordinate of the lower surface at the origin. The wing section obtained by the transformation (1) of a circle with ε_1, ε_2, f will coincide at the leading edge, at the trailing edge and at the origin. The difference between the given wing section and the wing section obtained by the above transformation (1) of a circle can be considered as due to the form of transformation. By the correction of the transformation, the transformed wing section can be coincident perfectly with the given wing section. A flow around a circle with wake can be transformed by the function into a flow arround a wing section. If we take a flow around a circle with separation points changing periodically as a flow around a circle, the theory of wing section can be improved.
明治大学の論文