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Chinese Science Bulletin

, Volume 54, Issue 23, pp 4358–4364 | Cite as

Kinetic modeling of dilute solid-liquid two-phase flows with inelastic collisions

  • XuDong FuEmail author
  • QiCheng Sun
  • GuangQian Wang
  • HongBo Ma
Articles / Condensed Matter Physics

Abstract

A kinetic model was presented for dilute solid-liquid two-phase flows with inelastic collisions by modeling the inelastic collisions with the revised BGK model (Santos and Astillero, 2005) and particle turbulence interactions with the Fokker-Planck operator. The formulated model kinetic equation was solved with the Chapman-Enskog method and the obtained approximate solution was further adopted to derive the constitutive relationships for the conservation equations of the particle phase. The new constitutive relationships would be suitable for the study on dilute solid-liquid two-phase flows such as sediment-laden flows in open channels or rivers.

Keywords

kinetic model two-phase flows inelastic collision BGK model constitutive relations 

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Copyright information

© Science in China Press and Springer Berlin Heidelberg 2009

Authors and Affiliations

  • XuDong Fu
    • 1
    Email author
  • QiCheng Sun
    • 1
  • GuangQian Wang
    • 1
  • HongBo Ma
    • 1
  1. 1.State Key Laboratory of Hydroscience and EngineeringTsinghua UniversityBeijingChina

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