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A theoretical study of pressure drop for non‐Newtonian creeping flow past an assemblage of spheres
Author(s) -
Mohan V.,
Raghuraman J.
Publication year - 1976
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.690220206
Subject(s) - drag , stokes flow , pressure drop , newtonian fluid , spheres , mechanics , non newtonian fluid , reynolds number , flow (mathematics) , assemblage (archaeology) , classical mechanics , geology , physics , turbulence , paleontology , astronomy
A combination of Happel's free surface model and variational principles is used to obtain bounds on the drag offered by the creeping flow of a power law fluid past an assemblage of solid spheres. The theoretical predictions of the product of the Fanning friction factor ƒ and Reynolds number Re p are in close agreement with available experimental data on non‐Newtonian flow through porous media. The product (ƒ Re p ) reduces for the Newtonian case to that of Happel and Brenner.