Document Type

Article

Publication Date

4-27-2000

Publication Title

SIAM Journal on Scientific Computing

Abstract

A nonlinear mathematical model with a free moving boundary was introduced to study viscous flow in stenotic elastic tubes subject to a prescribed external pressure at the tube wall and pulsatile pressure drop between the tube inlet and outlet. An iterative numerical method using boundary iteration, pseudocompressibility, and the ADI technique was developed to solve the model. Unsteady effects of stenosis severity and the imposed pressure conditions on the tube wall and flow are studied. Special attention was paid to tube contractions because they can be indications of the tube collapsing. It was found that stenosis can cause more severe tube expansion and contraction under unsteady conditions. The complicated unsteady wall motion can be understood as the superposition of the static tube expansion and contraction caused by the stenosis and as the unsteady tube expansion and contraction caused by the imposed, unsteady pressure conditions.

Volume

21

Issue

4

First Page Number

1370

Last Page Number

1386

DOI

10.1137/S1064827597315686

Publisher Statement

© 2000, SIAM Publications.

Included in

Mathematics Commons

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