Abstract
The shear behavior of granular materials immersed in a viscous fluid depends on fluid properties (viscosity, density), particle properties (size, density) and boundary conditions (shear rate, confining pressure). Using computational fluid dynamics simulations coupled with molecular dynamics for granular flow, and exploring a broad range of the values of parameters, we show that the parameter space can be reduced to a single parameter that controls the packing fraction and effective friction coefficient. This control parameter is a modified inertial number that incorporates viscous effects.
Highlights
Immersed granular materials occur in many natural processes such as sediment transport, landslides and submarine avalanches, as well as in many applications involving particle-laden fluids in powder technology and food and pharmaceutical industries [1,2,3,4,5,6]
In the absence of the fluid, it is well-known that the parameter space can be reduced to the inertial number I = γd(ρs/σs)1/2 [10], and the rheology is described by effective friction coefficient μ and packing fraction Φ as functions of I
We use Molecular Dynamics (MD) simulations for particle dynamics coupled with the Lattice Boltzmann Method (LBM) for the dynamics of the fluid phase to investigate the rheology of dense granular flows immersed in a viscous fluid
Summary
Immersed granular materials occur in many natural processes such as sediment transport, landslides and submarine avalanches, as well as in many applications involving particle-laden fluids in powder technology and food and pharmaceutical industries [1,2,3,4,5,6]. In the absence of the fluid, it is well-known that the parameter space can be reduced to the inertial number I = γd(ρs/σs)1/2 [10], and the rheology is described by effective friction coefficient μ and packing fraction Φ as functions of I. It has been suggested that, when particle-inertial effects can be neglected, the parameter space is reduced to the viscous number Iv = η f γ /σs, and the rheology is described by μ and Φ as a function of Iv [8]. We use MD simulations for particle dynamics coupled with the Lattice Boltzmann Method (LBM) for the dynamics of the fluid phase to investigate the rheology of dense granular flows immersed in a viscous fluid. We describe our main results and conclude with the scopes of this work
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