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Pressure drop in stenosed narrow passages

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TLDR
Under a constant pressure gradient, it is found that the upstream pressure in a configuration with stenosis is greater than the corresponding pressure in Poiseuille flow having the same volume flux and downstream pressure.
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This article is published in Fluid Dynamics Research.The article was published on 1989-07-01. It has received 2 citations till now. The article focuses on the topics: Pressure drop & Pipe flow.

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Citations
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Non-dimensional analysis of retinal microaneurysms: critical threshold for treatment

TL;DR: This work derives a critical ratio of microaneurysm to vessel diameter from an analytical solution and shows that this non-dimensional parameter defines the shear force experienced by endothelial cells, below which endothelial dysfunction is evident in vivo.
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Stenotic interaction on haemodynamic parameters in double stenoses

TL;DR: Evaluating the influence of double stenoses on the variations in the key haemodynamic features under different degree of stenoses and interspacing distance between the stenoses finds that two stenoses interact when the interspaces distance is lower than a critical value that corresponds to the redevelopment length of fully developed flow after the proximal stenosis.
References
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Journal ArticleDOI

Flow characteristics in models of arterial stenoses. II. Unsteady flow.

TL;DR: It is shown that three dimensionless parameters can be used to characterize the unsteady flow in a stenosis and the effect of unsteadiness is investigated experimentally using axisymmetric and nonsymmetric models.
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Flow through a converging-diverging tube and its implications in occlusive vascular disease — I

TL;DR: A mathematical model for a mild stenosis is established and an approximate solution for flow through a converging-diverging tube obtained, Velocity profiles, pressures, and wall shearing stresses along the tube are determined.
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Low Reynolds number flow in slowly varying axisymmetric tubes

TL;DR: In this article, an asymptotic series solution for low Reynolds number flow through an axisymmetric tube whose radius varies slowly in the axial direction is obtained, and expressions for the pressure drop along the tube and the shear stress at the wall are derived.
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On laminar steady flow in sinusoidal channels

TL;DR: In this paper, a perturbation method is developed in order to study viscous laminar flows through wavy-walled channels, where the stream function of the flow is expanded in a series and the wall amplitude is the perturbations parameter.
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On Viscous Flow in a Pipe with Constrictions

TL;DR: In this paper, two methods of solution are given for the flow of a viscous liquid in a circular pipe whose radius has a slight sinusoidal variation, and some related problems are briefly discussed.
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