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Shear localisation with 2D Viscous Froth and its relation to the\n Continuum Model

2010/01/06 by Joseph D. Barry, Barry, Joseph D., D. Weaire +3
Chemical Engineering · Engineering · Materials Science · #Enhanced Oil Recovery Techniques #FOS: Physical sciences #Lattice Boltzmann Simulation Studies #Pickering emulsions and particle stabilization #Rheology and Fluid Dynamics Studies #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.1001.0873

openalex publication_date 2010/01/06 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

Simulations of monodisperse and polydisperse (\μ2(A)=0.13\±0.002) 2D\nfoam samples undergoing simple shear are performed using the 2D Viscous Froth\n(VF) Model. These simulations clearly demonstrate shear localisation. The\ndependence of localisation length on the product \λ V (shearing velocity\nV times external wall friction coefficient \λ) is examined and is\nshown to agree qualitatively with other published experimental data. A wide\nrange of localisation lengths is found at low \λ V, an effect which is\nattributed to the existence of distinct yield and limit stresses. The general\nContinuum Model is extended to incorporate such an effect and its parameters\nare subsequently related to those of the VF Model. A Herschel-Bulkley exponent\nof a=0.3 is shown to accurately describe the observed behaviour. The\nlocalisation length is found to be independent of \λ V for monodisperse\nfoam samples.\n

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