Discrete population balance models of random agglomeration and cleavage in polymer pyrolysis

The processes of random agglomeration and cleavage (both of which are important for the development of new models of polymer combustion, but are also applicable in a wide range of fields including atmospheric physics, radiation modelling and astrophysics) are analysed using population balance methods. The evolution of a discrete distribution of particles is considered within this framework, resulting in a set of ordinary differential equations for the individual particle concentrations. Exact solutions for these equations are derived, together with moment generating functions. Application of the discrete Laplace transform (analogous to the Z-transform) is found to be effective in these problems, providing both exact solutions for particle concentrations and moment generating functions. The combined agglomeration-cleavage problem is also considered. Unfortunately, it has been impossible to find an exact solution for the full problem, but a stable steady state has been identified and computed

Population balance model: breakage kernel parameter fitting to emulsification data

International audienc

On the solution of the population balance model describing breakage dominated emulsification: Evaluation of weighted residual methods

International audienc

On the solution of the dynamic population balance model describing emulsification: Evaluation of weighted residual methods

International audienc

Population balance model: Breakage kernel parameter estimation to emulsification data

International audienc