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

2013/05/11 by Taha Sochi, Sochi, Taha · 1 citation
Chemical Engineering · Engineering · #Drilling and Well Engineering #Enhanced Oil Recovery Techniques #FOS: Biological sciences #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis #Hydraulic Fracturing and Reservoir Analysis #Quantitative Methods (q-bio.QM) #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.1305.2546

openalex publication_date 2013/05/11 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

A comparison is made between the Hagen-Poiseuille flow in rigid tubes and\nnetworks on one side and the time-independent one-dimensional Navier-Stokes\nflow in elastic tubes and networks on the other. Analytical relations, a\nPoiseuille network flow model and two finite element Navier-Stokes\none-dimensional flow models have been developed and used in this investigation.\nThe comparison highlights the differences between Poiseuille and\none-dimensional Navier-Stokes flow models which may have been unjustifiably\ntreated as equivalent in some studies.\n

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• Energy minimization for the flow in ducts and networks

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