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Multiplicity in continuous MSMPR crystallizers. Part I: Concentration multiplicity in an isothermal crystallizer
Author(s) -
Tavare N. S.,
Garside John
Publication year - 1985
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690310710
Subject(s) - multiplicity (mathematics) , nucleation , isothermal process , thermodynamics , crystallization , power law , mechanics , materials science , physics , chemistry , mathematics , mathematical analysis , statistics
A theory for the identification of criteria within which a continuous isothermal mixed‐suspension, mixed‐product removal (MSMPR) crystallizer can exhibit concentration multiplicity (i.e., multiple steady states) is developed. Power law growth and power law magma‐dependent nucleation kinetic models are used to describe the crystallization kinetics. Applications to specific cases together with figures delineating regions of multiplicity are presented. The stability of these steady states is analyzed by using small perturbations around the steady state. Growth ratedispersion is shown to be unimportant in establishing this concentration multiplicity.