Mathematical modelling of the flotation deinking process (Q1368501)

The authors divide the overall flotation deinking process into four basic microprocesses, namely: (i) collision or capture of a particle by an air bubble; (ii) adhesive of the particle to an air bubble by sliding; (iii) development of a three-phase contact at the air bubble/water/particle interface, and (iv) bubble/particle stability or instability after the aggregate has formed. These microprocesses are described in detail, and the associated probabilities of their successful completion are summarized. The overall model contains two kinetic constants \(k_1\) and \(k_2\). The constant \(k_1\) governs the overall probability that a free ink particle is successfully intercepted and adhered to an air bubble; the constant \(k_2\) is a measure of the probability that a bubble/particle aggregate pair becomes unstable and splits to yield a `new' free ink particle. The solution to the kinetic model is presented in terms of \(k_1\) and \(k_2\) which are themselves functions of system parameters such as bubble and particle physical properties, fluid properties etc. A definition of a theoretical flotation efficiency, as well as other system performance parameters, are presented through the solution.