Flow in an Elastic Tube Subject to Prescribed Forcing: A Model of Umbilical Venous Flow
Waters, S. L.
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Waters, S. L., & Guiot, C. (2001). Flow in an Elastic Tube Subject to Prescribed Forcing: A Model of Umbilical Venous Flow. https://doi.org/10.1080/10273660108833081
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.
External DOI: https://doi.org/10.1080/10273660108833081
This record's URL: https://www.repository.cam.ac.uk/handle/1810/267514
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