Summary
Camber and thickness distributions and a hinge point, are chosen for thin airfoils, to maximise the de-stabilising moment about that hinge point, in steady reversed flow. This optimisation is carried out subject to the constraints that the airfoil be in equilibrium for steady forward flow, and that the mean square camber be held fixed.
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Note: Unsteady effects have now been included in a further study, University of Adelaide, Applied Mathematics Report T8106, July 1981.
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Tuck, E.O. Two-dimensional leaflet valves with maximum reverse-flow moment. J Eng Math 16, 47–57 (1982). https://doi.org/10.1007/BF00037628
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DOI: https://doi.org/10.1007/BF00037628