Abstract

This paper deals with the flow around the circular wing lattice, as example the guide vanes of reaction type water turbines. The circular lattice composed of logarithmic spirals passing through the leading and trailing edges of each aerofoil, as well known in the theory of centrifugal pumps, can be conformally represented into a unit circle. Assuming that the camber line of given aerofoil does not much differ from the above logarithmic spiral and that the thickness is small, the given circular wing lattice also can be conformally represented into a unit circle, adding doublets of higher order at the center of circle, so that it should express the camber and thickness. Then expressing the flow around the circle by the complex function so that it should satisfy the flow around the lattice, the flow around it can be calculated.

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