### Abstract

We present experimental findings on the flow rule for granular flows on a rough inclined plane using various materials, including sand and glass beads of various sizes and four types of copper particles with different shapes. We characterize the materials by measuring hs (the thickness at which the flow subsides) as a function of the plane inclination Î on various surfaces. Measuring the surface velocity u of the flow as a function of flow thickness h, we find that for sand and glass beads the Pouliquen flow rule uâ • gh â Îhâ• hs provides reasonable but not perfect collapse of the u (h) curves measured for various Î and mean particle diameter d. Improved collapse is obtained for sand and glass beads by using a recently proposed scaling of the form uâ• gh =Îh tan2 Î â• hs tan2 Î 1 where Î 1 is the angle at which the hs (Î ) curves diverge. Measuring the slope Î for ten different sizes of sand and glass beads, we find a systematic, strong increase of Î with the divergence angle Î 1 of hs. Copper materials with different shapes are not well described by either flow rule with uâ h3â•2.

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

Article number | 031301 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 76 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 4 2007 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*76*(3), [031301]. https://doi.org/10.1103/PhysRevE.76.031301

**Flow rule of dense granular flows down a rough incline.** / Börzsönyi, T.; Ecke, Robert E.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 76, no. 3, 031301. https://doi.org/10.1103/PhysRevE.76.031301

}

TY - JOUR

T1 - Flow rule of dense granular flows down a rough incline

AU - Börzsönyi, T.

AU - Ecke, Robert E.

PY - 2007/9/4

Y1 - 2007/9/4

N2 - We present experimental findings on the flow rule for granular flows on a rough inclined plane using various materials, including sand and glass beads of various sizes and four types of copper particles with different shapes. We characterize the materials by measuring hs (the thickness at which the flow subsides) as a function of the plane inclination Î on various surfaces. Measuring the surface velocity u of the flow as a function of flow thickness h, we find that for sand and glass beads the Pouliquen flow rule uâ • gh â Îhâ• hs provides reasonable but not perfect collapse of the u (h) curves measured for various Î and mean particle diameter d. Improved collapse is obtained for sand and glass beads by using a recently proposed scaling of the form uâ• gh =Îh tan2 Î â• hs tan2 Î 1 where Î 1 is the angle at which the hs (Î ) curves diverge. Measuring the slope Î for ten different sizes of sand and glass beads, we find a systematic, strong increase of Î with the divergence angle Î 1 of hs. Copper materials with different shapes are not well described by either flow rule with uâ h3â•2.

AB - We present experimental findings on the flow rule for granular flows on a rough inclined plane using various materials, including sand and glass beads of various sizes and four types of copper particles with different shapes. We characterize the materials by measuring hs (the thickness at which the flow subsides) as a function of the plane inclination Î on various surfaces. Measuring the surface velocity u of the flow as a function of flow thickness h, we find that for sand and glass beads the Pouliquen flow rule uâ • gh â Îhâ• hs provides reasonable but not perfect collapse of the u (h) curves measured for various Î and mean particle diameter d. Improved collapse is obtained for sand and glass beads by using a recently proposed scaling of the form uâ• gh =Îh tan2 Î â• hs tan2 Î 1 where Î 1 is the angle at which the hs (Î ) curves diverge. Measuring the slope Î for ten different sizes of sand and glass beads, we find a systematic, strong increase of Î with the divergence angle Î 1 of hs. Copper materials with different shapes are not well described by either flow rule with uâ h3â•2.

UR - http://www.scopus.com/inward/record.url?scp=34548837259&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548837259&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.76.031301

DO - 10.1103/PhysRevE.76.031301

M3 - Article

AN - SCOPUS:34548837259

VL - 76

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 3

M1 - 031301

ER -