AIChE Symposium Series

attractor bed height bed pressure drop bubble cavity bubble model chaos theory chaotic Chem circulating fluidized bed coalescence coefficient of restitution combustion zone continuity equation correlation dimension correlation integral cyclone dense phase density deterministic chaos dimensional dimensionless distribution distributor plate dynamics energy entrained ethanol fermentation experimental flow rate fluctuations fluidized bed reactor flux frequency gas flow gas holdup Gidaspow hydrodynamic increasing kinematic kinetic Kolmogorov entropy L-valve macroscopic mass transfer measured minimum fluidization normalized bed pressure obtained parameters particle diameter particle velocity pore size tube pressure profile principal component reaction region Reynolds number riser shown in Figure single bubbles SLP catalyst solid circulating rate solid loadings solid particles solids flow Soria space plot spray drying standpipe superficial gas velocity surface Table three-dimensional topological equations trajectory two-dimensional unit USA Dr valve vertical voidage volume fraction wake WC-Co