Testing viscometric predictions of the internal viscosity model,using dilute viscous theta solutions |
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Authors: | J E McAdams M C Williams |
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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 |
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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 viscosity
* ( ) =![eegr](/content/n03m421040861121/xxlarge951.gif) – i![eegr](/content/n03m421040861121/xxlarge951.gif) and non-Newtonian viscosity ( ), where is frequency and is shear stress. Parameters varied are the number of submolecules,N (i.e., molecular weightM = NM
s
); the hydrodynamic interaction,h
*; and /f, where andf are the I.V. and friction coefficients of the submolecule. Detailed examination is made of the eigenvalues
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](/content/n03m421040861121/xxlarge951.gif) ], ![eegr](/content/n03m421040861121/xxlarge951.gif) ] in very viscous theta solutions, so that theoretical foundations of the model are fulfilled. It is found that ![eegr](/content/n03m421040861121/xxlarge951.gif) ( )] data can be predicted well, but that ( )] data cannot be matched at high . The latter deficiency is attributed in part to unrealistic predictions of coil deformation in shear. |
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Keywords: | Internal viscosity model theta solution non-Newtonian viscosity complex viscosity intrinsic viscosity |
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