Matched asymptotic solutions of the coalescence-redispersion model for unmixed feed stream plug flow reactors
✍ Scribed by A. Chatterjee; J.M. Tarbell
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 1010 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0009-2509
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✦ Synopsis
Matched asymptotic expansions are given for the first moments of the concentration distribution function of Curl's coalescenceredispersion 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.