Partial slip boundary conditions for collisional granular flows at flat frictional walls

Lei Yang, Johan Padding, J.A.M. Kuipers

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)

Abstract

We derive new boundary conditions (BCs) for collisional granular flows of spheres at flat frictional walls. A new theory is proposed for the solids stress tensor, translational and rotational energy dissipation rate per unit area and fluxes of translational and rotational fluctuation energy. In the theory we distinguish between sliding and sticking collisions and include particle rotation. The predictions are compared with literature results obtained from a discrete particle model evaluated at a given ratio of rotational to translational granular temperature. We find that the new theory is in better agreement with the observed stress ratios and heat fluxes than previous kinetic theory predictions. Finally, we carry out two fluid model simulations of a bubbling fluidized bed with the new BCs, and compare the simulation results with those obtained from discrete particle simulations. The comparison reveals that the new BCs are better capable of predicting solids axial velocity profiles, solids distribution near the walls and granular temperatures.
Original languageEnglish
Pages (from-to)1853–1871
JournalAIChE Journal
Volume63
Issue number6
DOIs
Publication statusPublished - 2017

Keywords

  • frictional collision
  • rough particles
  • kinetic theory of granular flow
  • partial slip boundary
  • two-fluid model

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