Navier-Stokes Flow in Cylindrical Elastic Tubes
Publish place: Journal of Applied Fluid Mechanics، Vol: 8، Issue: 2
Publish Year: 1393
Type: Journal paper
Language: English
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Document National Code:
JR_JAFM-8-2_002
Index date: 25 January 2022
Navier-Stokes Flow 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.
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Navier-Stokes Flow in Cylindrical Elastic Tubes authors
T. Sochi
University College London, Department of Physics & Astronomy, Gower Street, London, WC۱E ۶BT, UK