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Relative viscosity of bimodal suspensions
Qi, Fuzhong,Tanner, Roger I. 한국유변학회 2011 Korea-Australia rheology journal Vol.23 No.2
A new differential (or multi-scale, mean field approach) model for the relative viscosity of bimodal suspensions is discussed in this paper. Solid spherical particles with a bimodal size distribution in a Newtonian solvent are considered. The problem of random close packing for a bidisperse system is studied. The bounds on volume fractions are given by o.639 < ${\varphi}_{bm}$ < 0.869, where the random close packing volume fraction for a monodisperse system, ${\varphi}_{rcp}$ = 0.639, is assumed. We propose that the bimodal suspension has a dominant large particle composition and that the small particles fill the empty spaces between the large particles. The model can therefore be based on the theory of monodisperse suspensions. The predictions of the relative viscosity for several bimodal suspensions given by the model are compared to experimental measurements. A reasonably good agreement is observed.
Relative viscosity of bimodal suspensions
Fuzhong Qi,Roger I. Tanner 한국유변학회 2011 Korea-Australia rheology journal Vol.23 No.2
A new differential (or multi-scale, mean field approach) model for the relative viscosity of bimodal suspensions is discussed in this paper. Solid spherical particles with a bimodal size distribution in a Newtonian solvent are considered. The problem of random close packing for a bidisperse system is studied. The bounds on volume fractions are given by 0.639<φ_(bm)<0.869, where the random close packing volume fraction for a monodisperse system, φ_(rcp)=0.639, is assumed. We propose that the bimodal suspension has a dominant large particle composition and that the small particles fill the empty spaces between the large particles. The model can therefore be based on the theory of monodisperse suspensions. The predictions of the relative viscosity for several bimodal suspensions given by the model are compared to experimental measurements. A reasonably good agreement is observed.
A phenomenological approach to suspensions with viscoelastic matrices
Tanner Roger I.,Qi Fuzhong The Korean Society of Rheology 2005 Korea-Australia rheology journal Vol.17 No.4
A simple constitutive model for viscoelastic suspensions is discussed in this paper. The model can be used to predict the rheological properties (relative viscosity and all stresses) for viscoelastic suspensions in shear and elongational flow, and the constitutive equations combine a 'viscoelastic' behaviour component and a 'Newtonian' behaviour component. As expected, the model gives a prediction of positive first normal stress difference and negative second normal stress difference; the dimensionless first normal stress difference strongly depends on the shear rate and decreases with the volume fraction of solid phase, but the dimensionless second normal stress difference (in magnitude) is nearly independent of the shear rate and increases with the volume fraction. The relative viscosities and all the stresses have been tested against available experimental measurements.
A phenomenological approach to suspensions with viscoelastic matrices
Roger I. Tanner,Fuzhong Qi 한국유변학회 2005 Korea-Australia rheology journal Vol.17 No.4
A simple constitutive model for viscoelastic suspensions is discussed in this paper. The model can be used to predict the rheological properties (relative viscosity and all stresses) for viscoelastic suspensions in shear and elongational flow, and the constitutive equations combine a viscoelastic behaviour component and a Newtonian behaviour component. As expected, the model gives a prediction of positive first normal stress difference and negative second normal stress difference; the dimensionless first normal stress difference strongly depends on the shear rate and decreases with the volume fraction of solid phase, but the dimensionless second normal stress difference (in magnitude) is nearly independent of the shear rate and increases with the volume fraction. The relative viscosities and all the stresses have been tested against available experimental measurements.