A stochastic model based on Markov chain is proposed to describe the gas residence time distribution and contact time distribution in multistage fluidised beds. The Kolmogorov-Feller equations are solved by Laplace transform and subsequent numerical inversion. The effects of flow fluctuations on the
A stochastic model for residence time and size distributions of the particulate phase in a fluid-fluid contactor
โ Scribed by R. Mihail; C. Singer
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 948 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0009-2509
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โฆ Synopsis
A stochastic model based mainly on a trivariate mean density function is proposed to describe an analogue form of a dispersed phase particle motion in Lhe upper region of an agitated vessel equipped with a turbine mixer. It is assumed that the particle motion is stopped at random time intervals by particle collision and that only breakages and not coalescences occur. Though the model generally applies to any Ruid-fluid system special emphasis is put on the gas-liquid system whith small bubbles. Comparing the solutions of the mathematical model with known exoerimenfal results reoorted oreviouslv in literature results in a satisfactory agreement though the particle motion-is rather rude described by ihe modei.
๐ SIMILAR VOLUMES
Residence time distributions are required for modeling, design and optimization of chemical and biochemical multiphase reactors. Most models either cannot discriminate between true backmixing and a spread in fluid velocity or they require a large number of empirical parameters. A new stochastic mode