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Detection of Agglomeration by Analysis of Vibration Signatures in a Pilot-Scale Fluidized Bed Reactor of Propylene Polymerization

  • Fatemeh Alamolhoda , Ahmad Shamiri , Mohd Azlan Hussain , Reza Zarghami , Rahmat Sotudeh-Gharebagh and Navid Mostoufi EMAIL logo
Published/Copyright: September 28, 2018

Abstract

Polymerization of propylene was performed in a pilot fluidized bed reactor, resembling an industrial unit. In order to detect agglomeration in this reaction process, wall vibration signatures of the bed, which contains useful information about its hydrodynamics, were measured by an accelerometer. This approach is non-intrusive and can be easily applied in industry. Different methods employed to analyze the measured vibration signatures. Average cycle frequency of the signatures showed that agglomerates were formed and settled down in the reactor during the process. Plot of the power spectral density function of vibration signals showed that the peak corresponding to the dominant frequency generated by bubbles is located around 2,000 Hz. Energy of the signal among the three hydrodynamic structures in the bed (i. e., micro, meso and macro-scales) showed a decrease in share of macro-scale and a slight increase in share of micro and meso-scales due to the formation of agglomerates. The principal component analysis was performed to characterize the hydrodynamic changes occurred in bed due to formation of agglomerates during the polymerization reaction. Using the S-statistic test, changes in the hydrodynamics of the bed due to formation of agglomerates were detected about 20 minutes before defluidization.

Nomenclature

a

dilation (scaling) parameter

b

translation (location) parameter

Aj

approximation sub-signal of level j

dp

mean particle diameter, µm

Dj

detail sub-signal of level j

EAj

energy of approximation sub-signal of level j

EDj

energy of detail sub-signal of level j

fs

sampling frequency, Hz

l

value of the reduction order

L

number of the time-series segments

N

length of the time-series signal

P

loading matrix

Pixx

power-spectrum estimate of each segment, m2/s4

Pxx

averaged power spectrum, m2/s4

S

covariance matrix

T

score matrix

Tm

melting point, ℃

w

window function

Wf

wavelet coefficient

x

original signal, m/s2

Greek symbols
φ*

basic wavelet function, µm

µg

gas phase viscosity, Pa.s

ρg

gas phase density, kg/m3

ρp

particle density, kg/m3

εmf

void fraction of the bed at minimum fluidization

Acknowledgements

The authors would like to acknowledge the Iran’s National Elites Foundation (INEF) for its support through Allameh Tabatabaei grant (INEF-Grant No. BN096) and University of Malaya and the Ministry of Higher Education in Malaysia for supporting this collaborative work via the research grant FP064-2015A.

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Received: 2018-02-19
Revised: 2018-08-11
Accepted: 2018-09-15
Published Online: 2018-09-28

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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