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Analytical modeling of constricted channel flow
Institution:1. Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine;2. Bialystok University of Technology, Wiejska Str. 45C, 15-351 Bialystok, Poland;1. Université Clermont Auvergne, CNRS, SIGMA Clermont (ex- French Institute of Advanced Mechanics - IFMA), Institut Pascal, F-63000 Clermont-Ferrand, France;2. Department of Theoretical and Applied Mechanics, Dniepropetrovsk National University, Gagarin Av., 72, Dniepropetrovsk 49010, Ukraine;1. Department of Mechanical Engineering, Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka 940-2188, Japan;2. Faculty of Environment and Information Sciences, Yokohama National University, 79-7 Tokiwadai, Hodogaya, Yokohama 240-8501, Japan
Abstract:Analytical flow models are frequently applied when describing constricted channel flow at low and moderate Reynolds numbers. A common assumption underlying such flow models is two-dimensional or axi-symmetrical flow. In this work, two analytical model approaches are formulated in order to overcome this assumption in the case of naturally occurring channel flows for which the assumption might be critiqued. Advantages and flaws of both model approaches are discussed and their outcome is compared with experimental data.
Keywords:Laminar flow  Cross-section shape  Viscous boundary layer  Physiological flow
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