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Matched asymptotic solutions of the coalescence-redispersion model for unmixed feed stream plug flow reactors |
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| Affiliation: | 1. Water Cycle Research Center, Korea Institute of Science and Technology, Seoul 02792, South Korea;2. Small & Medium Enterprises Support Center, Korea Institute of Science and Technology, Seoul 02792, South Korea;3. Department of Biotechnology, Korea University, Seoul 02841, South Korea;4. Department of Energy Engineering, Future Convergence Technology Research Institute, Gyeongnam National University of Science and Technology, Jinju-si, Gyeongsangnam-do 52725, South Korea;5. Department of Environmental Science and Engineering, Ewha Womans University, Seoul 03760, South Korea;1. State Key Joint Laboratory of Environment Simulation and Pollution Control, School of Environment, Tsinghua University, Beijing 100084, China;2. Laboratory of Reactions and Process Engineering, CNRS, Université de Lorraine, 1, rue Grandville, BP 20451, 54001 Nancy Cedex, France |
| Abstract: | Matched asymptotic expansions are given for the first moments of the concentration distribution function of Curl's coalescence-redispersion population balance model when mixing is faster than reaction. The physical situation considered is an unmixed feed stream tubular reactor with a plug flow residence time distribution in which the single reaction A + nB → P occurs. The asymptotic expansions lead to analytical expressions for species conversion in such reactors and thus obviate the need for numerically tedious Monte Carlo simulations. It is also demonstrated that the perturbation technique applies in a straightforward manner to situations with competing reactions and that the analytical calculations compare favourably with Monte Carlo simulations. |
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