Abstract
Using the population balance method we investigated the dependence of polydispersity on the growth law that governs the size increase of particles. Using a power-law kernel Ki ∼ iα (where i is the mass of the particle) explicit results are derived for two limiting cases of constant kernel α = 0.0 and proportional kernel α = 1.0. For the constant kernel the normalized variance decreases in time. For the proportional kernel the variance increases during growth. In the two transition regions of weak kernels α < 0.5 and strong kernels α > 0.5, the polydispersity approaches the asymptotic values of the constant and proportional kernels. In the transition regions the growth law cannot be deduced from the polydispersity.
Original language | English (US) |
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Pages (from-to) | 557-562 |
Number of pages | 6 |
Journal | Journal of Colloid And Interface Science |
Volume | 145 |
Issue number | 2 |
DOIs | |
State | Published - Sep 1991 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Biomaterials
- Surfaces, Coatings and Films
- Colloid and Surface Chemistry