Population Balance Modelling of Liquid Extraction Columns using the Sectional Quadrature Method of Moments (SQMOM)

摘要

In this work, the Sectional Quadrature Method Of Moments (SQMOM) is extended to solve the nonhomogeneous population balance equation along the spatial domain to model the hydrodynamics and mass transfer behaviour of liquid-liquid extraction columns. The required quadrature nodes and weights are calculated analytically using the Two-Equal Weight Quadrature (TEqWQ) formula derived by Attarakih et al., (Attarakih, M., Drumm, C., & Bart, H.-J., (2009), Solution of the population balance equation using the Sectional Quadrature Method of Moments (SQMOM). Chem. Eng. Sci., 64, 742-752). As a numerical test, the SQMOM was validated using PPBLab software which utilizes the detailed extended fixed pivot as a built-in solver. Moreover, the SQMOM was experimentally validated using the available published steady state experimental data for both chemical test systems: Water-acetone-toluene and water-acetone-butyl acetate chemical test systems for RDC DN80 liquid extraction column.