Two-dimensional leaflet valves with maximum reverse-flow moment
type: Item
instance of: scholarly article
title: Two-dimensional leaflet valves with maximum reverse-flow moment
zbMATH Open document ID: 0573.76014
DOI: 10.1007/BF00037628
author: Ernie Tuck
published in: Journal of Engineering Mathematics
publication date: 1982-01-01T00:00:00Z
review text: The paper deals with the appropriate choice of shape in terms of camber and thickness for a rigid leaflet in a two-dimensional flow, assuming that both the forward and reversed flows would be uniform in the absence of the leaflet. The simplest problem of this sort is that of an airfoil in an unbounded uniform stream. This is analyzed in detail for the steady case. The analysis of the problem is also carried out for the case when there is an infinite plane wall boundary parallel to the undisturbed stream. As the analytical solution is not possible, the problem is studied numerically and the results show that the optimal leaflet not only is cambered, but also possesses thickness. The optimal distribution of both these quantities are obtained and also the corresponding hinge point. The paper is of considerable significance since a suitable design of a leaflet type valve is provided for designers of such valves which are of immense use in physiological systems such as cardiovascular systems.
Mathematics Subject Classification ID: 76B10
zbMATH DE Number: 3915836
zbMATH Keywords: Kutta condition
zbMATH Keywords: camber
zbMATH Keywords: thickness
zbMATH Keywords: rigid leaflet
zbMATH Keywords: two-dimensional flow
zbMATH Keywords: forward and reversed flows
zbMATH Keywords: unbounded uniform stream
zbMATH Keywords: infinite plane wall boundary
zbMATH Keywords: hinge point
zbMATH Keywords: leaflet type valve
zbMATH Keywords: cardiovascular systems
MaRDI profile type: Publication
cites work: A nonlinear unsteady one-dimensional theory for wings in extreme ground effect
cites work: Q3898193
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description: scientific article; zbMATH DE number 3915836