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CHALLENGES OF MODELLING A POPULATION BALANCE USING WAVELET

Abstract Crystallization is one of the oldest separation technologies due to its ability to produce a range of bulk products to high purity chemicals. Aspect of controlling the size distribution is important for downstream operations and characteristics of products. Two cases of population balance problems are considered in this paper to show limitations of some utilized methods. Those cases present the sharp transition phenomena in the particle size distribution. A wavelet-based method by Liu and Cameron (2001) is applied and compared with other conventional methods based on Finite Difference, Orthogonal Collocation and Orthogonal Collocation with Finite Elements. The result show that the wavelet method is faster, more accurate and more efficient in solving the population balance problems.