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Polymers, kinetic modeling quantitative description

Park [74] studied the efficiency of the ELM with non-Newtonian hquids in the removal of Zn, Pb, Ni and Cd from a simulated industrial wastewater using the Taylor-vortex column. The author adapted the shrinking core mathematical model of Liu and Liu [86] for quantitative description of the mass-transfer kinetics of the process [74]. The LM was prepared by the dissolution of 5 g dm of polyisobutylene in Soltrol 220 (see above). After complete dissolution of the polymer, the membrane phase... [Pg.372]

Anisotropic friction and molecular stick-slip friction were observed on a number of polymer systems by LFM using non-functionalized and functionalized tips. The observations described in this paper can be understood within the frame of the cobblestone (interlocking asperity) model. For a quantitative description, however, important parameters such as the energy fraction dissipated during the kinetic friction process (e) are still lacking. [Pg.334]

Application of fractal analysis and irreversible aggregation models for the description of crosslinked polymer curing processes allows it to be elucidated that macromolecular coil (microgel) structure, characterised by its fractal dimension, plays a larger role than purely chemical aspects. Such an approach allows a quantitative description of both curing process kinetics and its final results to be received. [Pg.4]

Substrate limitations have been documented and quantitatively described ( U, 2, 17 ). Dooley et al. (11) present an excellent description of modeling a reaction in macroreticular resin under conditions where diffusion coefficients are not constant. Their study was complicated by the fact that not all the intrinsic variables could be measured independently several intrinsic parameters were found by fitting the substrate transport with reaction model to the experimental data. Roucls and Ekerdt (16) studied olefin hydrogenation in a gel-form resin. They were able to measure the intrinsic kinetic parameters and the diffusion coefficient independently and demonstrate that the substrate transport with reaction model presented earlier is applicable to polymer-immobilized catalysts. Finally, Marconi and Ford (17) employed the same formalism discussed here to an immobilized phase transfer catalyst. The reaction was first-order and their study presents a very readable application of the principles as well as presents techniques for interpreting substrate limitations in trlphase systems. [Pg.80]

Hence, the dynamical scaling of DMDAACh radical polymerization allows to describe quantitatively the kinetic curve Q, and can be used for its prediction. In this approach base the key physical principles and models (scaling, universahty classes, irreversible aggregation models, fractal analysis) are placed. The three key process properties, characterized reactive centers concentration (c ), diffusive characteristics of reactive medium (q) and accessibility degree of reactive centers (Df), are used for the kinetic cmves description. It is supposed, that the offered approach will be vahd for the description of radical polymerization process of any polymer. [Pg.173]


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Kinetics description

Model description

Models quantitative

POLYM, description

Polymer kinetics

Polymers, kinetic modeling

Quantitative Descriptive

Quantitative kinetic modeling

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