Abstract
Base roughness plays an important role in the dynamics of granular flows but is still poorly understood due to the difficulty of its quantification. For a bumpy base made of spheres, at least two factors should be considered in order to characterize its geometric roughness, namely, the size ratio of flow to base particles and the packing arrangement of base particles. In this paper, we propose an alternative definition of base roughness, Ra, as a function of both the size ratio and the distribution of base particles. This definition is generalized for random and regular packings of multilayered spheres. The range of possible values of Ra is presented, and optimal arrangements for maximizing base roughness are studied. Our definition is applied to granular chute flows in both two- and three-dimensional configurations, and is shown to successfully predict whether slip occurs at the base. A transition is observed from slip to nonslip conditions as Ra increases. Critical values of Ra are identified for the construction of a nonslip base at various angles of inclination. © 2016 American Physical Society.
| Original language | English |
|---|---|
| Article number | 052901 |
| Journal | Physical Review E |
| Volume | 94 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2016 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Funding
The work was supported by Research Grants Council of Hong Kong (under Grant No. RGC/GRF 17203614), the Research Institute for Sustainable Urban Development at The Hong Kong Polytechnic University, and FAP-DF, Brazil. The computation was performed using the HKU Information Technology Services research computing facilities that are supported in part by the Hong Kong UGC Special Equipment Grant (Grant No. SEG HKU09).
RGC Funding Information
- RGC-funded
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