2006.194: Early stage kinetics in a unified model of shear-induced demixing and mechanical shear banding instabilities

2006.194: S.M. Fielding and P.D. Olmsted (2003) Early stage kinetics in a unified model of shear-induced demixing and mechanical shear banding instabilities. Physical Review Letters, 90 (224501). pp. 1-4. ISSN 0031-9007

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DOI: 10.1103/PhysRevLett.90.224501

Abstract

We present a unified model of shear-induced demixing and "mechanical" shear banding instabilities in polymeric and surfactant solutions, by combining a simple flow instability with a two-fluid approach to concentration fluctuations. Within this model, we calculate the "spinodal" limit of stability of initially homogeneous shear states to demixing/banding, and predict the selected length and time scales at which inhomogeneity first emerges after a shear start-up "quench" into the unstable region, finding qualitative agreement with experiment. Our analysis is the counterpart, for this driven phase transition, of the Cahn-Hilliard calculation for unsheared fluid-fluid demixing.

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