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This chapter presents a novel and unique approach of low-Stokes-number kinetic theory of granular flow (KTGF). It is a well-known fact that the original KTGF has been successful in applications in which the effect of the interstitial fluid can be neglected in high-Stokes number fluid–solid flows. An incorporation of interstitial fluid effect in the derivation of the low-Stokes-number KTGF is presented with the Fokker–Planck operator. The formulated kinetic equation is solved with the Chapman-Enskog method as the function of Stokes numbers. The constitutive relationships are suitable for the study on low-Stokes-number fluid–solid multiphase flows. 

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Low-Stokes-Number Kinetic Theory of Granular Flow

  • 章节

  • 发表日期：

    2025年

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  • Huilin Lu,
  • Guodong Liu,
  • Qinghong Zhang,
  • Xiaoxue Jiang,
  • Boxue Pang,
  • Wenjian Cai

摘要

This chapter presents a novel and unique approach of low-Stokes-number kinetic theory of granular flow (KTGF). It is a well-known fact that the original KTGF has been successful in applications in which the effect of the interstitial fluid can be neglected in high-Stokes number fluid–solid flows. An incorporation of interstitial fluid effect in the derivation of the low-Stokes-number KTGF is presented with the Fokker–Planck operator. The formulated kinetic equation is solved with the Chapman-Enskog method as the function of Stokes numbers. The constitutive relationships are suitable for the study on low-Stokes-number fluid–solid multiphase flows.