By R. A. F. Williams
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2 on the other hand shows no such overlapping plateau region, with compression of the total mass of underlying particles occuring from relatively early times. 9 g/1 and hence well within the dilute region of polymer solution behaviour. Figure 2 also shows particle packing at 55 0 days 100 120 140 Height/mm Fig. 3 Consolidation of a column of flocculated suspension of cyanazine, 40% v/v. 21 g/1 hydroxyethylcellulose. No dilatant sediment at cell base. Volume fraction, φ, as a function of height of column (mm).
16±0. 89±0. 98±0. 3310. 72±0. 05 264 Table 1 Table of initial, k , and final, k , forward rate constants for the various suspensions using IM KC1 as the coagulant. to be caused by hydrodynamic forces (23). 5 x 10 J for polystyrene yields a theoretical rate -12 3 -1 constant of about 3 x 10 cm s for the singlet-singlet reaction (21). The loss of this effect for larger aggregates may simply be due to the aggregates becoming entangled resulting in several sphere to sphere contacts for each collision.
10 mm above the base. The empirical rate equation is expressed as, kt = -In ( <* max - φ) (1) where k is an assumed first-order rate constant for the consolidation of particles. We refer to k as a consolidation rate constant. Figure 4 shows some typical plots of In ( <£max - Φ) versus time for different HEC concentrations and the fit (linear least squares) is reasonable over long time periods, in excess of 100 days. Fig. 5 shows a plot of the resultant first order rate constants as a function of polymer concentration.
Advances in Measurement and Control of Colloidal Processes by R. A. F. Williams