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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (6): 765-770.doi: https://doi.org/10.1007/s10483-009-0610-6

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Derivation of a segregation-mixing equation for particles in a fluid medium

Donald O.Besong   

  1. Department of Numerical Analysis and Computer Science (NADA), Royal Institute of Technology, S-10044 Stockholm, Sweden
  • 收稿日期:2008-10-23 修回日期:2009-05-02 出版日期:2009-06-01 发布日期:2009-06-01

Derivation of a segregation-mixing equation for particles in a fluid medium

Donald O.Besong   

  1. Department of Numerical Analysis and Computer Science (NADA), Royal Institute of Technology, S-10044 Stockholm, Sweden
  • Received:2008-10-23 Revised:2009-05-02 Online:2009-06-01 Published:2009-06-01

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摘要： The main purpose of this work is to show that the gravity term of the segregation-mixing equation of fine mono-disperse particles in a fluid can be derived from first-principles (i.e., elementary physics). Our derivation of the gravity-driven flux of particles leads to the simplest case of the Richardson and Zaki correlation. Stokes velocity also naturally appears from the physical parameters of the particles and fluid by means of derivation only. This derivation from first-principle physics has never been presented before. It is applicable in small concentrations of fine particles.

关键词: gravity segregation, Kynch batch flux, first-principles derivation, Burgertype equation

Abstract: The main purpose of this work is to show that the gravity term of the segregation-mixing equation of fine mono-disperse particles in a fluid can be derived from first-principles (i.e., elementary physics). Our derivation of the gravity-driven flux of particles leads to the simplest case of the Richardson and Zaki correlation. Stokes velocity also naturally appears from the physical parameters of the particles and fluid by means of derivation only. This derivation from first-principle physics has never been presented before. It is applicable in small concentrations of fine particles.

Key words: gravity segregation, Kynch batch flux, first-principles derivation, Burgertype equation

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