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Rheological behaviour effect of non‐newtonian fluids on steady and unsteady flow through a porous medium
Author(s) -
Pascal H.
Publication year - 1983
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610070303
Subject(s) - rheology , mechanics , non newtonian fluid , porous medium , bingham plastic , newtonian fluid , flow (mathematics) , dimensionless quantity , generalized newtonian fluid , power law fluid , herschel–bulkley fluid , materials science , thermodynamics , porosity , mathematics , geotechnical engineering , geology , physics , shear rate
This paper describes the flow behaviour of certain non‐Newtonian fluids through a porous medium. A generalized Bingham rheological model of power‐law in the presence of a yield stress has been considered. Several problems of fluid mechanics, which appear currently in oil reservoir engineering, have been investigated and the rheological behaviour effect has been emphasized. The short time solutions have been formulated in terms of a moving boundary problem. The approximate solutions in a closed formwere obtained by means of the integral method. Several dimensionless groups have been found to be relevant in evaluating the rheological effect on the steady and unsteady and unsteady flow behaviour. The deviation from Newtonian flow behaviour has been illustrated using several numerical examples.