Solution of the Bi-Variate Dynamic Population Balance Equation in Batch Particulate Systems
نویسندگان
چکیده
This paper presents a comparative study on the application of different numerical methods for the solution of the dynamic bi-variate population balance equation (PBE) in batch particulate systems. Specifically, particulate processes operating under the combined action of particle aggregation and/or particle growth are examined. In order to solve the bi-variate PBE the Galerkin finite element method, the sectional grid technique, and the stochastic particle model are employed. The performance of these numerical methods (i.e., their accuracy and stability) is assessed by a direct comparison of the calculated bi-variate particle size distributions to available analytical solutions.
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