Abstract
The collision frequency of monodisperse inertia particles in a turbulent flow is governed by a wide range of scales of flow motion. Recent studies have shown that large-scale energetic eddies dominate the relative velocity between two colliding particles (the turbulent transport effect), whereas small-scale dissipative eddies can enhance the collision frequency significantly by inducing local non-uniform particle distribution (the accumulation effect). In this study, these two effects are separately investigated through direct numerical simulations (DNS) of monodisperse particles suspended in evolving turbulent flows. The data show that the turbulent transport effect can be predicted by existing models but the accumulation effect cannot. A new model for the accumulation effect has been developed by using the DNS data. Finally, an integrated collision kernel model, which consists of an existing model for the turbulent transport effect and our model for the accumulation effect, has been developed to predict the collision frequency at arbitrary Reynolds numbers and particle inertia.
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