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

    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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