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Herschel-Bulkley rheology from lattice kinetic theory of soft glassy materials

2010/04/28 by R. Benzi, M. Bernaschi, M. Sbragaglia +1 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Heat Transfer #Lattice Boltzmann Simulation Studies #Material Dynamics and Properties #cond-mat.soft

paper · pdf · doi:10.1209/0295-5075/91/14003

5 figures

arxiv created 2010/04/28 · openalex publication_date 2010/07/01 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We provide clear evidence that a two-species mesoscopic Lattice Boltzmann (LB) model with competing, short-range attractive and mid-range repulsive, interactions supports emergent Herschel-Bulkley (HB) rheology, i.e. a power-law dependence of the shear stress as a function of the strain rate, beyond a given yield stress threshold. This kinetic formulation supports a seamless transition from flowing to non-flowing behaviour, through a smooth tuning of the parameters governing the mesoscopic interactions between the two species. The present model may become a valuable computational tool for the investigation of the rheology of soft glassy materials on scales of experimental interest.

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