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A new model for granular porous media: Part II. Numerical solution of steady state incompressible Newtonian flow through periodically constricted tubes
Author(s) -
Payatakes Alkiviades C.,
Tien Chi,
Turian Raffi M.
Publication year - 1973
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.690190111
Subject(s) - streamlines, streaklines, and pathlines , mechanics , compressibility , pressure drop , inertia , tube (container) , reynolds number , porous medium , newtonian fluid , dimensionless quantity , steady state (chemistry) , flow (mathematics) , incompressible flow , materials science , thermodynamics , mathematics , classical mechanics , porosity , physics , chemistry , turbulence , composite material
A numerical method for the solution of the problem of steady state, incompressible Newtonian flow through periodically constricted tubes is developed. All terms of the Navier‐Stokes equation are retained, including the nonlinear inertia terms. Sample calculations for a uniform periodically constricted tube, the geometry of which is connected with the modeling of a packed bed of sand are given, including streamlines, axial and radial velocity profiles, pressure profiles, and the dimensionless pressure drop versus Reynolds number relation. The effect of some geometric characteristics of periodically constricted tubes on their friction factor is investigated numerically, and comparison of some existing experimental data with calculated ones is made.