Particle shape and suspension rheology of short-fiber systems

The rheology of suspensions of solid particles

“…The trend in each of the datasets in figure 9a is strikingly similar and, consistent with the findings of Kitano et al (1981) and Pabst et al (2006), we find that the curves are well-described by the Maron-Pierce relationship. Table 3 particle aspect ratio, r p particle aspect ratio, r p Einstein coefficient, B max.…”

“…Table 3 particle aspect ratio, r p particle aspect ratio, r p Einstein coefficient, B max. packing fraction, f m numerics, dilute, this study data, this study Kitano et al (1981) Pabst et al (2006 Figure 10. (a) Maximum packing fraction as a function of particle aspect ratio.…”

“…Data from this study (circles) are determined by fitting the Maron-Pierce relationship (equation (2.4)) to the K r (φ) data shown in figure 9a. Data and models proposed by Kitano et al (1981;crosses) and Pabst et al (2006;plus symbols) are shown for comparison. Solid line, which is the same as the dotted line in figure 4b shows our numerical prediction for a dilute suspension of randomly oriented, monodisperse particles (see §2b(iii)).…”

“…Previously, Kitano et al (1981) and Pabst et al (2006) have proposed models for φ m (r p ) based on their experimental data; both models and datasets are included in figure 10; note that their models are linear in r p and predict negative values for φ m for large r p . For comparison, the numerically determined value of B(r p ) is also plotted (assuming equilibrium conditions have been reached for a monodisperse suspension of initially randomly oriented, ellipsoidal particles with r e = r p ; see §2b(iii) and figure 4b).…”

“…The data and best-fit line plot between those of Kitano et al (1981) and Pabst et al (2006). Note that Kitano et al used a non-Newtonian suspending liquid and the r p = 1 experiments of Pabst et al were conducted using suspensions of starch globules which we consider to be unlikely to behave as hard spheres.…”