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Cambered valve leaflets that maximize initial rate of closure

Published online by Cambridge University Press:  20 April 2006

E. O. Tuck
Affiliation:
University of Adelaide, South Australia 5001
A. Helfgott
Affiliation:
Flinders Medical Centre, South Australia 5042
R. W. Yeung
Affiliation:
Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A.

Abstract

Camber distributions are chosen for airfoils of zero thickness that maximize the angular velocity induced by a sudden decrease in free-stream velocity. Those optimal shapes that are in equilibrium in steady forward flow are also neutrally stable in that position.

Type
Research Article
Copyright
© 1982 Cambridge University Press

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References

Abbott, I. H. & Von Doenhoff, A. E. 1959 Theory of Wing Sections. Dover.
Bonchek, L. I. 1981 Current status of cardiac valve replacement: Selection of a prosthesis and indications for operation. Am. Heart J. 101, 96106.Google Scholar
Craggs, J. W. 1973 Calculus of Variations. George Allen & Unwin.
Tuck, E. O. 1982 Two-dimensional leaflet valves with maximum reverse-flow moment. J. Engng Math. 16, 4757.Google Scholar
Yeung, R. W. 1978 On the interactions of slender ships in shallow water. J. Fluid Mech. 85, 143159.Google Scholar