Solution of the Population Balance Equation for Two-Component Aggregation by an Extended Fixed Pivot Technique

Hugo Vale (1) , Timothy Mckenna (1)

1 LCPP - Laboratoire de chimie et procédés de polymérisation

The fixed pivot technique of Kumar and Ramkrishna (Chem. Eng. Sci., 1996, 51 (8), 1311-1332), originally derived for one-dimensional systems, is extended to simulate two-component aggregation processes. By following this approach, it is possible to design a numerical method that guarantees internal consistency with regard to certain moments of the distribution, while using arbitrary Cartesian grids. Focus is put on the conservation of the number of particles and the mass of each component, although other moments may be considered if desired. The potentialities and limitations of the technique are evaluated by comparing the numerical solutions against available analytical solutions. This comparison reveals that the proposed method is rather accurate, except in the front region, which shows some smearing. The accuracy, internal consistency and computational efficiency of this numerical method should make it a valuable tool for simulating two-component aggregation.

Mots clés: Aggregation; Bivariate; Coagulation; Multicomponent; Numerical solution; Particle size distribution; Population balance

Domaines: Autre

Hugo Vale, Timothy Mckenna. Solution of the Population Balance Equation for Two-Component Aggregation by an Extended Fixed Pivot Technique. Industrial and engineering chemistry research, 2005, 44, pp.7885-7891. ⟨10.1021/ie050179s⟩. ⟨hal-00004523v2⟩