Abstract
In this work, we perform simulations of particle laden flow in a wide and long narrow channel in a Newtonian fluid. Simulations are performed for mono-sized and equal density spheres with varying Archimedes and Reynolds number. In the simulations, different phases of particle transport - rolling, saltation and suspension are observed. During simulations the average bed height is monitored and its steady state value is used for proposing a correlation between solids volume fraction (ϕ), shear Reynolds number (Res) and Archimedes number (Ar). This correlation is used to predict the critical shear Reynolds number for particle lift-off and a condition at which particles would occupy the whole channel at a given Archimedes number. The value of this critical Reynolds number is compared with the critical Reynolds number for single particle lift-off.
Highlights
Particle laden flows are encountered in many industrial as well as in natural processes such as biological and environmental flows, e.g. proppant transport in hydraulic fracturing
We investigate a suspension of particles for different Archimedes and Reynolds numbers in a planar flow
The average bed height is measured as a function of time and the equilibrium height at steady state is used to propose a correlation between the shear Reynolds number, Archimedes number and solids volume fraction
Summary
Particle laden flows are encountered in many industrial as well as in natural processes such as biological and environmental flows, e.g. proppant transport in hydraulic fracturing. DPM accounts for fluid-particle interactions using closure relations for momentum exchange and for particle-particle/particle-wall interactions using a collision model This approach has been used for proppant transport studies by Blyton (2016), Zhang et al (2017), Baldini et al (2018). Of particles plays an important role during their transport, but due to the unavailability of reliable correlations for the hydrodynamic torque its effect on a particle is usually ignored These challenges can be mitigated by resolving the flow field around a particle and integrating the hydrodynamic forces and torque over the particle surface. This approach is known as Direct Numerical Simulation (DNS) and has been used widely to study transport of buoyant particles. The average bed height is measured as a function of time and the equilibrium height at steady state is used to propose a correlation between the shear Reynolds number, Archimedes number and solids volume fraction
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