Title

Semi-analytical solution of a constrained fourth-order integro-differential equation of steady flow-structure interaction in a model collapsible tube

Authors

Authors

C. W. Soh;O. J. Ilegbusi

Comments

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Abbreviated Journal Title

Appl. Math. Comput.

Keywords

Adomian's decomposition method; lubrication approximation; collapsible; tube; index of criticality; FLUID; Mathematics, Applied

Abstract

We provide accurate, non-perturbative, semi-analytical solutions to a constrained fourth-order integro-differential equation derived by Djorjevic and Vukobratovic [On a steady, viscous flow in two-dimensional channels, Acta Mech. 163 (2003) 189-205] in the study of a steady incompressible flow through a flexible 2D tube. Our numerical experiments motivate the introduction of a global parameter that monitors the deformation of the tube as a function of material properties and flow characteristics. Physically, this parameter is proportional to the work done by the longitudinal tension on the wall. An example is provided on how this global parameter can be used to monitor coronary lesion progression. In particular, this parameter is used to define an index of criticality of such lesions. (c) 2005 Elsevier Inc. All rights reserved.

Journal Title

Applied Mathematics and Computation

Volume

174

Issue/Number

2

Publication Date

1-1-2006

Document Type

Article

Language

English

First Page

1564

Last Page

1575

WOS Identifier

WOS:000236407300060

ISSN

0096-3003

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