Flow in an Elastic Tube Subject to Prescribed Forcing: A Model of Umbilical Venous Flow
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Authors
Waters, SL
Guiot, C
Abstract
jats:pWe 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.</jats:p>
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Keywords
4012 Fluid Mechanics and Thermal Engineering, 40 Engineering
Journal Title
Journal of Theoretical Medicine
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Journal ISSN
1027-3662
1607-8578
1607-8578
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Publisher
Hindawi Limited