Universality of shear-banding instability and crystallization in sheared granular fluid

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dc.creatorAlam, Meheboob
dc.creatorShukla, Priyanka
dc.creatorLuding, Stefan
dc.date2008-11-15
dc.date.accessioned2026-07-07T10:18:40Z
dc.date.available2026-07-07T10:18:40Z
dc.descriptionThe linear stability analysis of an uniform shear flow of granular materials is revisited using several cases of a Navier-Stokes'-level constitutive model in which we incorporate the global equation of states for pressure and thermal conductivity (which are accurate up-to the maximum packing density $ν_{m}$) and the shear viscosity is allowed to diverge at a density $ν_μ$ ($< ν_{m}$), with all other transport coefficients diverging at $ν_{m}$. It is shown that the emergence of shear-banding instabilities (for perturbations having no variation along the streamwise direction), that lead to shear-band formation along the gradient direction, depends crucially on the choice of the constitutive model. In the framework of a dense constitutive model that incorporates only collisional transport mechanism, it is shown that an accurate global equation of state for pressure or a viscosity divergence at a lower density or a stronger viscosity divergence (with other transport coefficients being given by respective Enskog values that diverge at $ν_m$) can induce shear-banding instabilities, even though the original dense Enskog model is stable to such shear-banding instabilities. For any constitutive model, the onset of this shear-banding instability is tied to a {\it universal} criterion in terms of constitutive relations for viscosity and pressure, and the sheared granular flow evolves toward a state of lower "dynamic" friction, leading to the shear-induced band formation, as it cannot sustain increasing dynamic friction with increasing density to stay in the homogeneous state. A similar criterion of a lower viscosity or a lower viscous-dissipation is responsible for the shear-banding state in many complex fluids.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0811.2459
dc.identifierhttp://arxiv.org/abs/0811.2459
dc.identifierJournal of Fluid Mechanics (2008), vol. 615, pp. 293-321
dc.identifierdoi:10.1017/S0022112008003832
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174266
dc.subjectSoft Condensed Matter
dc.titleUniversality of shear-banding instability and crystallization in sheared granular fluid
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