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IMA Journal of Applied Mathematics Advance Access published online on December 3, 2007

IMA Journal of Applied Mathematics, doi:10.1093/imamat/hxm063
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© The Author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

On the method of conformal mapping applied to the flow around thin cylindrically curved aerofoils

F. C. Visser{dagger}

Flowserve, PO Box 25, 4870 AA Etten-Leur, The Netherlands

{dagger} Email: fvisser{at}flowserve.com

Received on July 17, 2007; Accepted on October 29, 2007

This article discusses the method of conformal mapping applied to the flow around thin cylindrically curved aerofoils. The velocity distribution of the flow around this type of lifting vanes is solved in closed form and expressions for the circulation are presented. The results are used to compute the lift exerted on the profiles at zero and non-zero incidence angle. Furthermore, the pressure distribution and profile loading are discussed. The treatise given is a classical one, and the formulae presented provide an extension to some famous results from the theory of aerofoils.

Keywords: conformal mapping; aerofoil; circulation; lift; incidence; closed-form solution.


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