Determining polymer molecular weight distributions from rheological properties using the dualconstraint model
 Cattaleeya Pattamaprom,
 Ronald G. Larson,
 Anuvat Sirivat
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Although multiple models now exist for predicting the linear viscoelasticity of a polydisperse linear polymer from its molecular weight distribution (MWD) and for inverting this process by predicting the MWD from the linear rheology, such inverse predictions do not yet exist for longchain branched polymers. Here, we develop and test a method of inverting the dualconstraint model (Pattamaprom et al., Rheol Acta 39:517–531, 2000; Pattamaprom and Larson, Macromolecules 34:5229–5237, 2001), a model that is able to predict the linear rheology of polydisperse linear and starbranched polymers. As a first step, we apply this method only to polydisperse linear polymers, by comparing the inverse predictions of the dualconstraint model to experimental GPC traces. We show that these predictions are usually at least as good, or better than, the inverse predictions obtained from the Doi–Edwards doublereptation model (Tsenoglou, ACS Polym Prepr 28:185–186, 1987; des Cloizeaux, J Europhys Lett 5:437–442, 1988; Mead, J Rheol 38:1797–1827, 1994), which we take as a “benchmark”—an acceptable invertible model for polydisperse linear polymers. By changing the predefined type of molecular weight distribution from log normal, which has two fitting parameters, to GEX, which has three parameters, the predictions of the dualconstraint model are slightly improved. These results suggest that models that are complex enough to predict branched polymer rheology can be inverted, at least for linear polymers, to obtain molecular weight distribution. Further work will be required to invert such models to allow prediction of the molecular weight distribution of branched polymers.
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 Title
 Determining polymer molecular weight distributions from rheological properties using the dualconstraint model
 Journal

Rheologica Acta
Volume 47, Issue 7 , pp 689700
 Cover Date
 20080901
 DOI
 10.1007/s0039700802645
 Print ISSN
 00354511
 Online ISSN
 14351528
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Molecular weight distribution
 Rheology
 Dualconstraint model
 Doublereptation model
 Industry Sectors
 Authors

 Cattaleeya Pattamaprom ^{(1)}
 Ronald G. Larson ^{(2)}
 Anuvat Sirivat ^{(3)}
 Author Affiliations

 1. Department of Chemical Engineering, Thammasat University, Patumthani, 12120, Thailand
 2. Department of Chemical Engineering, The University of Michigan, Ann Arbor, MI, 48109, USA
 3. The Petroleum and Petrochemical College, Chulalongkorn University, Bangkok, 10400, Thailand