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Testing viscometric predictions of the internal viscosity model,using dilute viscous theta solutions
Authors:J E McAdams  M C Williams
Institution:(1) Shell Oil Co., Head Office Process Engineering, 77001 Houston, TX, USA;(2) Chemical Engineering Department, University of California, Berkeley, 94720 Berkeley, CA, USA
Abstract:A stress-symmetrized internal viscosity (I.V.) model for flexible polymer chains, proposed by Bazua and Williams, is scrutinized for its theoretical predictions of complex viscosityeegr * (ohgr) =eegrprime – ieegrPrime and non-Newtonian viscosityeegr (tau), whereohgr is frequency andtau is shear stress. Parameters varied are the number of submolecules,N (i.e., molecular weightM = NM s ); the hydrodynamic interaction,h *; andphgr/f, wherephgr andf are the I.V. and friction coefficients of the submolecule. Detailed examination is made of the eigenvalueslambda p (N, h *) and how they can be estimated by various approximations, and property predictions are made for these approximations.Comparisons are made with data from our preceding companion paper, representing intrinsic properties eegr], eegrprime], eegrPrime] in very viscous theta solutions, so that theoretical foundations of the model are fulfilled. It is found that eegrprime (ohgr)] data can be predicted well, but that eegr (tau)] data cannot be matched at hightau. The latter deficiency is attributed in part to unrealistic predictions of coil deformation in shear.
Keywords:Internal viscosity model  theta solution  non-Newtonian viscosity  complex viscosity  intrinsic viscosity
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