Coagulative Nucleation Model Development

Feeney et al. [34] designated A i = 1, 2, 3.) to be the number of particle nuclei produced by the limited flocculation of i precursor particles. Precursor particles are denoted by i = 1. The following equation was derived to calculate the rate of formation of particle nuclei comprising k precursor particles. 

In a similar manner, Eq. (3.21) also can be used to calculate the number of precursor particles per unit volume of water (M)- 

Assuming that a particle nucleus contains at least two precursor particles [34], the total number of particle nuclei (Np) can be calculated as follows  

In addition, the steady-state value of Np at infinite time was given by 

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Nomura and Fujita (12), Dougherty (13-14), and Storti et al. (12). Space does not permit a review of each of these papers. This paper presents the development of a more extensive model in terms of particle formation mechanism, copolymer kinetic mechanism, applicability to intervals I, II and III, and the capability to simulate batch, semibatch, or continuous stirred tank reactors (CSTR). Our aim has been to combine into a single coherent model the best aspects of previous models together with the coagulative nucleation theory of Feeney et al. (8-9) in order to enhance our understanding of... 

Based on the coagulative particle nucleation mechanism, a two-step model was developed for the semibatch surfactant-free emulsion polymerization of... 

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