Fall of spherical particles through non-Newtonian suspensions

Sedimentation of a circular disk in power law fluids

“…The latter finding is also consistent with that reported for spheres settling in power law liquids [1,8,29].…”

“…While the pertinent literature is nowhere near as extensive as that for spheres falling in Newtonian liquids [4], it suffices to say here that reliable numerical values of drag for the unconfined flow of power law fluids over a sphere are now available up to the sphere Reynolds number of 100 or so, for both shear thinning and shear thickening fluid behavior conditions [5][6][7], and these are complemented by experimental results which encompass values of the sphere Reynolds number up to about ∼1500 [8][9][10]. It is readily acknowledged that non-spherical particles are encountered much more frequently in industrial applications than the spherical particles.…”

New model for single spherical particle settling velocity in power law (visco-inelastic) fluids

“…Also, their expression does not reduce to the expected limiting behavior for Newtonian fluids. Koziol and Glowacki (1988), Reynolds and Jones (1989) and Machac et al (1995), have also reported similar results and correlations. But unfortunately none of these correlations have been tested using independent experimental data.…”

“…As mentioned earlier, Chhabra (1990) analyzed the particle settling velocity data of Dallon (1967), Prakash (1983), Machac et al (1987), Lali et al (1989), and his own data (Chhabra, 1980). He used the following power law equation:…”

“…In the midst of conflicting conclusions, Chhabra (1990) gathered a large body of experimental data available in the literature and reexamined them in greater detail to explore the possibility of using the Newtonian standard drag curve for power law fluids. Specifically, he considered the data of Dallon (1967), Prakash (1983), Machac et al (1987), Lali et al (1989) and his own gathered data (Chhabra, 1980). He found that the Newtonian standard drag curve provides a satisfactory representation of the drag coefficient -Reynolds number data for power law fluids, provided a Reynolds number based on the power law model is used.…”