%0 Journal Article
%T Navier-Stokes Flow in Cylindrical Elastic Tubes
%J Journal of Applied Fluid Mechanics
%I
%Z 1735-3572
%A Sochi, T.
%D 2014
%\ 12/01/2014
%V 8
%N 2
%P 181-188
%! Navier-Stokes Flow in Cylindrical Elastic Tubes
%K Cylindrical elastic tubes
%K Fluid mechanics
%K Navier
%K Stokes
%K Time
%K independent
%K One
%K newtonian fluids
%K dimensional flow
%K Finite element
%K Blood flow
%R 10.18869/acadpub.jafm.67.221.22802
%X 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.
%U https://www.jafmonline.net/article_1503_b000349622cc34d52b4a2ab22d19355a.pdf