Flow of Navier-Stokes Fluids in Cylindrical Elastic Tubes
Abstract
Analytical expressions correlating the volumetric flow rate to the inlet and outlet pressures are derived for the time-independent flow of Newtonian fluids in cylindrically-shaped elastic tubes using a one-dimensional Navier-Stokes flow model with two pressure-area constitutive relations. These expressions for elastic tubes are the equivalent of Poiseuille and Poiseuille-type expressions for rigid tubes which were previously derived for the flow of Newtonian and non-Newtonian fluids under various flow conditions. Formulae and procedures for identifying the pressure field and tube geometric profile are also presented. The results are validated by a finite element method implementation. Sensible trends in the analytical and numerical results are observed and documented.
Keywords
Cite
@article{arxiv.1304.5734,
title = {Flow of Navier-Stokes Fluids in Cylindrical Elastic Tubes},
author = {Taha Sochi},
journal= {arXiv preprint arXiv:1304.5734},
year = {2015}
}
Comments
23 pages, 4 figures, 2 tables