Simple conditions for the appearance of sustained oscillations in continuous crystallizers

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Abstract

Continuous crystallizers are known to exhibit sustained oscillations in solute concentration and size distribution. The usual stability analysis for mixed suspension, mixed product removal crystallizers is obscured by the use of dimensionless groups which not only depend upon the physical properties and control parameters in the problem but also depend upon the steady-state values of the state variables in the model. We introduce three new dimensionless groups for this problem which only depend upon physical properties and control parameters. These produce a stability plot which is simpler than previous attempts and lends itself to easy physical interpretation.

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