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Steady‐shear rheological behavior of the suspension of spherical particles in a second‐order fluid
Author(s) -
Kaloni P. N.,
Stastna V.
Publication year - 1983
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760230809
Subject(s) - rheology , generalized newtonian fluid , herschel–bulkley fluid , materials science , newtonian fluid , suspension (topology) , non newtonian fluid , shear flow , shear stress , cauchy stress tensor , mechanics , constitutive equation , shear rate , shear (geology) , viscosity , classical mechanics , thermodynamics , composite material , physics , mathematics , finite element method , homotopy , pure mathematics
In this paper we study the rheological behavior of a dilute suspension of rigid spherical particles in a second‐order fluid. We extend the results of viscous fluids to discuss the expression for the bulk stress tensor of a second‐order fluid and also obtain an approximate solution to the shear flow problem of this fluid. By combing these results, we write an approximate constitutive equation for the bulk stress tensor for such a suspension and study it in a shear flow. It is found that the new equation predicts no variation in the shear viscosity, but predicts enhancement of the pre‐existing non‐Newtonian nature of the suspending fluid with regard to the normal stress functions.