Computational and Mathematical Methods in Medicine

Computational and Mathematical Methods in Medicine / 2001 / Article

Open Access

Volume 3 |Article ID 843205 | 12 pages | https://doi.org/10.1080/10273660108833081

Flow in an Elastic Tube Subject to Prescribed Forcing: A Model of Umbilical Venous Flow

Received11 Nov 2000
Revised06 Jul 2001
Accepted26 Jul 2001

Abstract

We investigate the fluid flow through a finite length, axisymmetric tube when the elastic wall is subject to either a prescribed external pressure or a prescribed motion. The prescribed wall forcing is assumed to consist of a forward travelling wave together with a reflected travelling wave. The dimensionless diameter variation of the tube is taken to be small and perturbation techniques are used to solve the weakly non-linear problem. Particular attention is given to the steady streaming flow that is induced through the non-linear convective acceleration terms. The results are applied to the flow of blood in the umbilical vein (UV), which has important physiological implications.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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