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active sites average sequence length byproduct poison cal/g calculated chain of type chain transfer reactions cocatalyst concentration of monomer Concentrations of active control structures copolymerization crosspropagation CSBR deactivation dead polymer chain dead sites degree of polymerization density diluent emulsion phase temperature ethylene feed temperature fluidized bed reactor fraction of monomer g/mol gas phase olefin gaseous feed streams group contribution methods heat capacity homopolymer hydrogen inlet stream mol/cm3 kinetics live polymer chain modelling equations module mole fraction monomer feed rate monomer of type number of monomers particles phase olefin polymerization PID-controller polyethylene polymer of solid polymer properties polymerization reactors polypropylene pressure controller product withdrawal rate propylene reaction constant reaction order reaction rates reactors in series recycle stream temperature second reactor setpoint simulation solid phase mol/cm3 sorption factor startup steady state value temperature controller University of Wisconsin-Madison variables velocity volume W. H. Ray weight fraction withdrawal rate Qo Ziegler-Natta catalysts