{"paper":{"title":"Size Scaling of Velocity Field in Granular Flows through Apertures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Gaoke Hu, Lei Yang, Liangsheng Li, Ping Lin, Xiaosong Chen, Yongwen Zhang","submitted_at":"2017-08-31T10:08:29Z","abstract_excerpt":"For vertical velocity field $v_{\\rm z} (r,z;R)$ of granular flow through an aperture of radius $R$, we propose a size scaling form $v_{\\rm z}(r,z;R)=v_{\\rm z} (0,0;R)f (r/R_{\\rm r}, z/R_{\\rm z})$ in the region above the aperture. The length scales $R_{\\rm r}=R- 0.5 d$ and $R_{\\rm z}=R+k_2 d$, where $k_2$ is a parameter to be determined and $d$ is the diameter of granule. The effective acceleration, which is derived from $v_{\\rm z}$, follows also a size scaling form $a_{\\rm eff} = v_{\\rm z}^2(0,0;R)R_{\\rm z}^{-1} \\theta (r/R_{\\rm r}, z/R_{\\rm z})$. For granular flow under gravity $g$, there is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09647","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}