An. Ernest et al., DETERMINATION OF PARTICLE COLLISION EFFICIENCIES FOR FLOCCULANT TRANSPORT MODELS, Journal of environmental engineering, 121(4), 1995, pp. 320-329
The object of this study is to investigate the data needs for accurate
estimation of particle collision efficiencies (alpha). Batch floccula
tion and vertical flocculent settling studies were conducted on aquati
c sediment particles in the size range of 2-80 mu m in diameter. Dynam
ic particle-size distribution data sets were generated using a 256-cat
egory binary-collision-based flocculent settling model and subsequentl
y compressed into 128, 64, 32, 16, 8, and 4 logarithmically varying pa
rticle-diameter categories. A previously developed parameter-estimatio
n framework was used to estimate alpha values from the compressed data
sets. Variability in the alpha estimates indicates that it is not an
artifact of the experimental data. The residual function value after 2
0 estimation iterations increased with the discretization levels, indi
cating shallower residual function slopes. Parameter estimation accura
cy was unaffected by the levels of data sparsity considered, Increased
random noise resulted in consistently lower estimated collision effic
iencies. Rate of convergence was unaffected by random noise but decrea
sed with data sparsity levels. Particle water column residence times w
ere significantly overestimated using four category distributions.