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The Quarterly Journal of Mechanics and Applied Mathematics 1948 1(1):365-375; doi:10.1093/qjmam/1.1.365
© 1948 by Oxford University Press
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AEROFOILS OF MAXIMUM THICKNESS RATIO FOR A GIVEN MAXIMUM PRESSURE COEFFICIENT

A. R. MANWELL

( University College Southampton )

A relation is found which determines the symmetrical aerofoil which in streaming incompressible or subsonic compressible flow has the greatest thickness ratio for a given maximum pressure coefficient. The solution in the incompressible case coincides with that of a free streamline problem due to Riabouchinsky. The Kánmán–Tsien solution is derived in a very similar form. It is also shown how in principle one experiment with an electric potential apparatus would solve the problem for any pressure-density law.

The method of deriving the relation can be extended to various similar problems, including axially symmetric flow, and the solution possesses the further property of maximizing the area and other functions of the contour of the aerofoil.


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