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The Markov process approach to modelling of residence of time distributions in flow systems
Author(s) -
Kumar Surendra,
Pethö Árpád
Publication year - 1990
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.270130157
Subject(s) - residence time distribution , residence time (fluid dynamics) , markov process , flow (mathematics) , statistical physics , markov chain , markov model , process (computing) , stochastic modelling , mechanics , distribution (mathematics) , data flow model , computer science , mathematics , biological system , mathematical optimization , engineering , physics , statistics , mathematical analysis , geotechnical engineering , biology , operating system
The Markov process approach, as used in the modelling of particle residence time distribution in a flow system of interlinked compartments, has been compared with the deterministic model of a complex reaction system of the first order. In the latter model, interfacial reactions take place between flowing phases, corresponding to the compartments in the stochastic model. It has been demonstrated that the two approaches are equivalent. A direct method of calculating the higher moments of the residence time distribution has been verified.