Model based on population balance for the simulation of bubble columns using methods of the least-square type |
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| Authors: | Federico Sporleder Carlos A. Dorao Hugo A. Jakobsen |
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| Affiliation: | aDepartment of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;bDepartment of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway |
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| Abstract: | A novel model is presented which uses mass and momentum equations based on population balances to describe the dispersed phase of bubble columns. A set of integro-differential non-linear equations constitutes the model, which can be solved directly using the least-squares methods. The implementation for these is presented.The model presents a degree of flexibility, as different density functions (number, mass and volume) and different internal coordinates (bubble diameter, volume and mass) can be used.A simplified 1D model of a bubble column is solved using the least-squares spectral element method. The results obtained for two different gas volume fluxes at the inlet are compared with experiments by several authors. The simulations show good agreement with the measured data. |
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| Keywords: | Bubble columns Mathematical modeling Multiphase flow Population balance Least squares Spectral element method |
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