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Droplet coalescence model optimization using a detailed population balance model for RDC extraction column
Authors:Hanin B Jildeh  Menwer Attarakih  Hans-Jörg Bart
Affiliation:1. Chair of Separation Science and Technology, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany1;2. Centre of Mathematical and Computational Modelling, University of Kaiserslautern, Germany;3. The University of Jordan, Faculty of Engineering & Technology, Department of Chemical Engineering, 11942 Amman, Jordan
Abstract:Single droplet experiments in a small lab scale Rotating Disk Contactor (RDC) for two different liquid–liquid systems were used to evaluate the coalescence parameters necessary for column simulations. Five different coalescence models are studied; the models parameters were obtained by an inverse solution of the population balance model using the extended fixed-pivot technique for the discretization of the droplet internal coordinate. The estimated coalescence parameters by solving the inverse problem were found dependent on the chemical test system. The Coulaloglou and Tavlarides model was found to be the best model to predict the experimental data for both test systems. These parameters were used to study the hydrodynamics and mass transfer behavior of pilot plant RDC extraction column using the simulation tool LLECMOD. This is performed for two different liquid–liquid systems as recommended by the European Federation of Chemical Engineering (EFCE) (butylacetate–acetone–water (b–a–w) and toluene–acetone–water (t–a–w)). The simulated Sauter mean droplet diameter, hold-up values and concentration profiles for organic and aqueous phase were found to be well predicted compared to the experimental data.
Keywords:Population balance  Inverse problem  Coalescence  Simulation  Hydrodynamics  RDC extraction column
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