Abstract
The discrete bivariate population-balance equation is formulated and solved to describe the kinetics of heterogeneous magnetic flocculation of colloidal paramagnetic particles in a uniform magnetic field. The particles are allowed to have various sizes and values of magnetic susceptibility. Computations show ihe importance of particle size and magnetic susceptibility on the flocculation rate and the transient bivariate (size/magnetic susceptibility) density function. The particle size distribution of certain magnetic-susceptibil-ity particles and the magnetic-susceptibility distribution of certain size particles are calculated as functions of time and initial and operating conditions. The composition of a floe at any time depends on magnetic, van der Waals, double layer, and hydrodynamic forces among pairs of particles. The magnetic force is a function of the particle size, magnetic susceptibility, and strength of the magnetic field. Results are presented for various initial conditions of particles after ten minutes of flocculation. The results are of significance in understanding the forces among the particles and designing efficient magnetic separation processes.
| Original language | English |
|---|---|
| Pages (from-to) | 147-159 |
| Number of pages | 13 |
| Journal | Chemical Engineering Communications |
| Volume | 137 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jun 10 1995 |
Funding
Funding provided by the Division of Chemical Sciences, U.S. Department of Energy, under contract DE-AC05-840R21400 with Martin Marietta Energy Systems, Inc., is gratefully acknowledged. This research was supported in part by an appointment to the Oak Ridge National Laboratory (ORNL) Postdoctoral Associates Program, administered jointly by ORNL and Oak Ridge Associated Universities.
Keywords
- Heterogeneous flocculation
- Magnetic flocculation
- Paramagnetic particles
- Population dynamics