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Low Reynolds number developing flows
Author(s) -
Atkinson Bernard,
Brocklebank M. P.,
Card C. C. H.,
Smith J. M.
Publication year - 1969
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690150414
Subject(s) - reynolds number , mechanics , reynolds equation , boundary layer , mathematics , flow (mathematics) , open channel flow , pipe flow , finite element method , physics , geometry , classical mechanics , mathematical analysis , thermodynamics , turbulence
Equations are given that relate the entrance length to Reynolds number for pipe and channel geometries with a flat velocity profile as the initial condition. These equations are linear combinations of the creeping flow and boundary layer solutions. The former is obtained by minimization of the viscous dissipation using the finite element method. The equation for the pipe entrance is shown to be in good agreement with experimental data.