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A generalized model to predict the viscosity of solutions with suspended particles. III. Effects of particle interaction and particle size distribution
Author(s) -
Sudduth Richard D.
Publication year - 1993
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1993.070500115
Subject(s) - suspension (topology) , viscosity , particle (ecology) , particle size , thermodynamics , volume fraction , materials science , atomic packing factor , particle size distribution , function (biology) , distribution function , constant (computer programming) , intrinsic viscosity , physics , chemistry , composite material , mathematics , nuclear magnetic resonance , oceanography , evolutionary biology , homotopy , biology , pure mathematics , geology , computer science , programming language , polymer
The generalized suspension viscosity equation utilized in this study was evaluated with both a packing fraction, φ n , and a particle interaction coefficient, σ, as a function of suspension blend composition, f 2 T . The estimation of the packing fraction, φ n , in turn, required the further elucidation of the D 5 / D 1 ratio of particle diameter averages. Blend constants developed in this study allowed evaluation of both the D x / D y ratio of particle diameter averages as well as the number‐average particle diameter, D 1 , as a function of the fraction of one suspension in a blend, f 2 T . These blend constants were shown to be easily evaluated from each individual suspension prior to blending. The viscosity data of Johnson and Kelsey were shown to be generally predicted as a function of the volume composition when a constant particle interaction coefficient, σ, was assumed. However, a better prediction of the results of Johnson and Kelsey was obtained by assuming that the particle interaction coefficient, σ, was a function of the number‐average particle diameter, D 1 , of the suspension mixture composition. Consequently, a new approach was identified to evaluate the simultaneous effects of small particles to both increase viscosity as a result of increasing particle interaction as well as to decrease viscosity as a result of improving the particle‐size distribution. © 1993 John Wiley & Sons, Inc.