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Cambered valve leaflets that maximize initial rate of closure

  • E. O. Tuck (a1), A. Helfgott (a2) and R. W. Yeung (a3)
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.

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References
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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.
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.
Yeung, R. W. 1978 On the interactions of slender ships in shallow water. J. Fluid Mech. 85, 143159.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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