TY - JOUR
T1 - Coupled Population Balance and Species Balance Models of Crystallization
T2 - Analytic Solutions and Data Fits
AU - Bal, Vivekananda
AU - Peters, Baron
N1 - We thank the University of Illinois for startup funding that supported this work. We thank Vikram Khanna, Michael F. Doherty, Jose Tabora, and Dimitri Skliar for helpful discussions.
PY - 2021/1/6
Y1 - 2021/1/6
N2 - Obtaining kinetic constants in rate laws for nucleation and growth is challenging and essential to the design of the crystallization processes. Starting from the coupled species and population balance equations, we linearize the equations by expanding around the steady state. We then develop analytic solutions that describe the response to a step change in the feed flow rate. We use the analytic solution to extract parameters in the rate laws for nucleation and growth from experimental crystal size distribution data. Specifically, the response of the crystal size distribution to a step change in the feed flow rate, as fitted to the analytic solution, reveals the rate constants and supersaturation dependence in rate laws for growth and secondary nucleation.
AB - Obtaining kinetic constants in rate laws for nucleation and growth is challenging and essential to the design of the crystallization processes. Starting from the coupled species and population balance equations, we linearize the equations by expanding around the steady state. We then develop analytic solutions that describe the response to a step change in the feed flow rate. We use the analytic solution to extract parameters in the rate laws for nucleation and growth from experimental crystal size distribution data. Specifically, the response of the crystal size distribution to a step change in the feed flow rate, as fitted to the analytic solution, reveals the rate constants and supersaturation dependence in rate laws for growth and secondary nucleation.
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U2 - 10.1021/acs.cgd.0c01047
DO - 10.1021/acs.cgd.0c01047
M3 - Article
AN - SCOPUS:85097750009
SN - 1528-7483
VL - 21
SP - 227
EP - 234
JO - Crystal Growth and Design
JF - Crystal Growth and Design
IS - 1
ER -