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Velocity and pressure profiles for Newtonian creeping flow in regular packed beds of spheres
Author(s) -
Snyder L. J.,
Stewart W. E.
Publication year - 1966
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.690120130
Subject(s) - spheres , mechanics , newtonian fluid , flow (mathematics) , symmetry (geometry) , stokes flow , non newtonian fluid , mathematics , physics , classical mechanics , geometry , astronomy
A theoretical analysis is made of Newtonian creeping flow through dense cubic and simple cubic beds of spheres. Velocity and pressure profiles are obtained in equation form by Galerkin's error‐distribution method. The profiles satisfy the conservation equations approximately, and the boundary conditions and symmetry conditions exactly. The calculated friction factors are within 5% of experimental values for both packing arrangements.