TY - JOUR
T1 - Nonlinear effects in particulate processes
AU - Bilgili, E.
AU - Scarlett, B.
N1 - Funding Information:
The authors would like to acknowledge the financial support of the Particle Engineering Research Center (PERC) at the University of Florida, the National Science Foundation (NSF) Grant #EEC-94-0289, and the Industrial Partners of the PERC.
PY - 2005/11/30
Y1 - 2005/11/30
N2 - The nonlinear effects in various particulate processes are analyzed within the context of population balance modeling. Our main objective is to indicate the origin of the nonlinear effects and to categorize them in a systematic manner. To illustrate the importance of the nonlinear effects, a continuous milling process is considered, which has been analyzed in the literature with linear population balance models only. A continuous stirred tank mill (CSTM) and a plug-flow tube mill (PFTM) of identical volume were numerically simulated. It is well known that the accumulation of fine particles has a slowing-down effect on the breakage kinetics, which leads to non-intuitive results in terms of the produced particle size distribution. A nonlinear population balance theory is presented to account for these effects, and numerical simulations indicate the enormous potential of the new theory.
AB - The nonlinear effects in various particulate processes are analyzed within the context of population balance modeling. Our main objective is to indicate the origin of the nonlinear effects and to categorize them in a systematic manner. To illustrate the importance of the nonlinear effects, a continuous milling process is considered, which has been analyzed in the literature with linear population balance models only. A continuous stirred tank mill (CSTM) and a plug-flow tube mill (PFTM) of identical volume were numerically simulated. It is well known that the accumulation of fine particles has a slowing-down effect on the breakage kinetics, which leads to non-intuitive results in terms of the produced particle size distribution. A nonlinear population balance theory is presented to account for these effects, and numerical simulations indicate the enormous potential of the new theory.
KW - Functional
KW - Milling
KW - Multi-particle interactions
KW - Particulate processes
KW - Population balance modelling
UR - http://www.scopus.com/inward/record.url?scp=28044461511&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=28044461511&partnerID=8YFLogxK
U2 - 10.1016/j.na.2004.12.021
DO - 10.1016/j.na.2004.12.021
M3 - Article
AN - SCOPUS:28044461511
SN - 0362-546X
VL - 63
SP - e1131-e1141
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 5-7
ER -