Summary
Problems of the virial associated with a simple wing profile are studied by considering the relative positions of the Hamilton Centre and metacentre. In particular, questions of stability are emphasised. Several theorems are derived relating to the virial parabola, the Hamilton Centre and the axes of the profile. These theorems are specialised to the case of the Joukowski profiles, particularly the symmetric and straight slit cases. The S-form profiles are generalised to the case where the metacentric parabola opens upwards, and the Hamilton Centre is above the metacentre, which are the conditions most favourable for stability.
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References
Mises, R. von and Friedrichs, K. O.Fluid Dynamics, Brown University, Advanced Instruction and Research in Mechanics, Mimeographed Lectures, Summer, 1941.
Milne-Thomson, L. M.Theoretical Aerodynamics, Macmillan, 1952.
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Madhava Rao, B.S. Virial problems related to simple wing profiles. Proc. Indian Acad. Sci. 43, 53–66 (1956). https://doi.org/10.1007/BF03052750
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DOI: https://doi.org/10.1007/BF03052750