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Creep in macromolecular solutions according to rigid dumbbell kinetic theory
Authors:R. B. Bird  H. R. Warner Jr.
Affiliation:1. Chem. Engineering Dept. and Rheology Research Center, University of Wisconsin, 53706, Madison, Wisconsin, U.S.A.
Abstract:The creep experiment is analyzed using the rigid-dumbbell suspension model. It is found that the equilibrium shear compliance J e is given by $$J_e = frac{{theta _0 }}{{2eta _0^2 }} + O(kappa _infty ^2 )$$ where η0 and θ0 are the viscosity and primary normal stress functions at zero-shear rate, and κ is the velocity gradient for large time. It is found that, to the lowest level of approximation, τ yy zz and τ xx yy have the same sign during the creep experiment.
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