### Abstract

A continuum theory of partially fluidized granular flows is developed. The theory is based on a combination of the equations for the flow velocity and shear stresses coupled with the order-parameter equation which describes the transition between the flowing and static components of the granular system. We apply this theory to several important granular problems: avalanche flow in deep and shallow inclined layers, rotating drums, and shear granular flows between two plates. We carry out quantitative comparisons between the theory and experiment.

Original language | English (US) |
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Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 65 |

Issue number | 6 |

DOIs | |

State | Published - Jun 21 2002 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)

### Cite this

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**Continuum theory of partially fluidized granular flows.** / Aranson, Igor S.; Tsimring, Lev S.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Continuum theory of partially fluidized granular flows

AU - Aranson, Igor S.

AU - Tsimring, Lev S.

PY - 2002/6/21

Y1 - 2002/6/21

N2 - A continuum theory of partially fluidized granular flows is developed. The theory is based on a combination of the equations for the flow velocity and shear stresses coupled with the order-parameter equation which describes the transition between the flowing and static components of the granular system. We apply this theory to several important granular problems: avalanche flow in deep and shallow inclined layers, rotating drums, and shear granular flows between two plates. We carry out quantitative comparisons between the theory and experiment.

AB - A continuum theory of partially fluidized granular flows is developed. The theory is based on a combination of the equations for the flow velocity and shear stresses coupled with the order-parameter equation which describes the transition between the flowing and static components of the granular system. We apply this theory to several important granular problems: avalanche flow in deep and shallow inclined layers, rotating drums, and shear granular flows between two plates. We carry out quantitative comparisons between the theory and experiment.

UR - http://www.scopus.com/inward/record.url?scp=41349106760&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=41349106760&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.65.061303

DO - 10.1103/PhysRevE.65.061303

M3 - Article

C2 - 12188712

AN - SCOPUS:41349106760

VL - 65

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 6

ER -