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Chemical Engineering & Technology, Vol.32, No.5, 693-709, 2009
Scale-up of Mini-Plant Extractors on Energy Dissipation-Based Population Balances
The new scale-up concept for extraction columns relies oil three identities being kept idem, as is the total specific flow rate, energy dissipation, and mean droplet residence time in a compartment. The droplet population balance-based model allows maintaining hydrodynamic similarity in different geometries, as is in a mini- or a pilot plant. This leads to similar breakage and coalescence probabilities giving comparable droplet size distributions, thus mass transfer area and extraction efficiency. A new breakage frequency term has been developed relying on the energy dissipation rate and is thus independent from geometric constraints. The traditional scale-up rules are based either on a constant tip velocity (approximate to N) or on a constant energy input (approximate to N-3), whereas here it follows a constant energy dissipation (approximate to N-2). A step-by-step approach to the new procedure proved by case samples is given. Data from literature pilot experiments Could be verified by computer simulations, without using adaptable parameters. All parameters in the correlations where derived in a lab-scale apparatus and the coalescence parameters were obtained in the mini-plant experiments. Derivation between simulated and experimental pilot data for stage numbers was less than 14 %, operating parameters (rotational speed N, throughput) were underestimated by 4 % leading to a slightly smaller HETS (Height Equivalent of Transfer Stages) value as measured, affecting the column height with less than 1 %.