Title

Semi-Analytical Solution Of A Constrained Fourth-Order Integro-Differential Equation Of Steady Flow-Structure Interaction In A Model Collapsible Tube

Keywords

Adomian's decomposition method; Collapsible tube; Index of criticality; Lubrication approximation

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. © 2005 Elsevier Inc. All rights reserved.

Publication Date

3-15-2006

Publication Title

Applied Mathematics and Computation

Volume

174

Issue

2

Number of Pages

1564-1575

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.amc.2005.07.005

Socpus ID

33644586441 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33644586441

This document is currently not available here.

Share

COinS