Instabilities in granular binary mixtures at moderate densities
| Autor: | Vicente Garzó, Christine M. Hrenya, Peter P. Mitrano |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Physics
Scale (ratio) Thermodynamics Binary number Dissipation Complex Mixtures Molecular Dynamics Simulation 01 natural sciences 010305 fluids & plasmas Vortex Nonlinear system Molecular dynamics Models Chemical Elastic Modulus 0103 physical sciences Kinetic theory of gases Hydrodynamics Particle Computer Simulation Colloids Particle Size 010306 general physics Rheology |
| Zdroj: | Physical review. E, Statistical, nonlinear, and soft matter physics. 89(2) |
| ISSN: | 1550-2376 |
| Popis: | A linear stability analysis of the Navier-Stokes (NS) granular hydrodynamic equations is performed to determine the critical length scale for the onset of vortices and clusters instabilities in granular dense binary mixtures. In contrast to previous attempts, our results (which are based on the solution to the inelastic Enskog equation to NS order) are not restricted to nearly elastic systems since they take into account the complete nonlinear dependence of the NS transport coefficients on the coefficients of restitution α(ij). The theoretical predictions for the critical length scales are compared to molecular dynamics (MD) simulations in flows of strong dissipation (α(ij) ≥ 0.7) and moderate solid volume fractions (ϕ ≤ 0.2). We find excellent agreement between MD and kinetic theory for the onset of velocity vortices, indicating the applicability of NS hydrodynamics to polydisperse flows even for strong inelasticity, finite density, and particle dissimilarity. |
| Databáze: | OpenAIRE |
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