Herschel-Bulkley rheology from lattice kinetic theory of soft glassy materials
Department of Physics and INFN, University of Tor Vergata - Via della Ricerca Scientifica 1, 00133 Rome, Italy, EU
2 Istituto per le Applicazioni del Calcolo CNR - Via dei Taurini 9, 00185 Rome, Italy, EU
Accepted: 2 July 2010
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.
PACS: 47.11.-j – Computational methods in fluid dynamics / 47.45.-n – Rarefied gas dynamics / 02.70.-c – Computational techniques; simulations
© EPLA, 2010