Comparing Poiseuille with 1D Navier-Stokes Flow in Rigid and Distensible Tubes and Networks

Abstract

A comparison is made between the Hagen-Poiseuille flow in rigid tubes and networks on one side and the time-independent one-dimensional Navier-Stokes flow in elastic tubes and networks on the other. Analytical relations, a Poiseuille network flow model and two finite element Navier-Stokes one-dimensional flow models have been developed and used in this investigation. The comparison highlights the differences between Poiseuille and one-dimensional Navier-Stokes flow models which may have been unjustifiably treated as equivalent in some studies.

26 pages, 6 figures

References in corpus (2)

• Newtonian Flow in Converging-Diverging Capillaries
• One-Dimensional Navier-Stokes Finite Element Flow Model

Cited by in corpus (5)

• The Flow of Newtonian and power law fluids in elastic tubes
• Fluid Flow at Branching Junctions
• Solving the flow fields in conduits and networks using energy minimization principle with simulated annealing
• Energy minimization for the flow in ducts and networks
• The Yield Condition in the Mobilization of Yield-Stress Materials in Distensible Tubes