### Abstract

Original language | English |
---|---|

Pages (from-to) | 4877-4891 |

Journal | Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 52 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1995 |

MoE publication type | A1 Journal article-refereed |

### Fingerprint

### Keywords

- mixtures
- particles
- spherical powder
- kinetic theory
- transport properties
- elastic properties
- Bolzman equation
- velocity measurement
- flowmeters
- particle size distribution

### Cite this

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*Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 52, no. 5, pp. 4877-4891. https://doi.org/10.1103/PhysRevE.52.4877

**Kinetic theory of multicomponent dense mixtures of slightly inelastic spherical particles.** / Zamankhan, Piroz.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

T1 - Kinetic theory of multicomponent dense mixtures of slightly inelastic spherical particles

AU - Zamankhan, Piroz

PY - 1995

Y1 - 1995

N2 - A kinetic-type theoretical approach is developed for the transport processes involved in flows of dense mixtures of solid particles with distribution in particle size. The particles are treated as being smooth, nearly elastic, and spherical. Starting from the reduced Liouville equation, a generalized Boltzmann equation that includes the effects of inelastic collisions is stated, assuming the condition of particle chaos. The nonequilibrium velocity distribution function is derived for particles of each size using a generalized Grad moment method. The theory is applied to study the rheology of multicomponent mixtures of granular materials undergoing steady shearing flows.

AB - A kinetic-type theoretical approach is developed for the transport processes involved in flows of dense mixtures of solid particles with distribution in particle size. The particles are treated as being smooth, nearly elastic, and spherical. Starting from the reduced Liouville equation, a generalized Boltzmann equation that includes the effects of inelastic collisions is stated, assuming the condition of particle chaos. The nonequilibrium velocity distribution function is derived for particles of each size using a generalized Grad moment method. The theory is applied to study the rheology of multicomponent mixtures of granular materials undergoing steady shearing flows.

KW - mixtures

KW - particles

KW - spherical powder

KW - kinetic theory

KW - transport properties

KW - elastic properties

KW - Bolzman equation

KW - velocity measurement

KW - flowmeters

KW - particle size distribution

U2 - 10.1103/PhysRevE.52.4877

DO - 10.1103/PhysRevE.52.4877

M3 - Article

VL - 52

SP - 4877

EP - 4891

JO - Physical review E

JF - Physical review E

SN - 2470-0045

IS - 5

ER -