{ "id": "1010.3741", "version": "v1", "published": "2010-10-18T21:33:18.000Z", "updated": "2010-10-18T21:33:18.000Z", "title": "Falling Particles in Fluids at Intermediate Reynolds Numbers", "authors": [ "Acmae El Yacoubi", "Sheng Xu", "Z. Jane Wang" ], "comment": "short film < 3min", "categories": [ "physics.flu-dyn", "physics.comp-ph" ], "abstract": "In this video, we present the dynamics of an array of falling particles at intermediate Reynolds numbers. The film shows the vorticity plots of 3, 4, 7, 16 falling particles at $Re = 200$. We highlight the effect of parity on the falling configuration of the array. In steady state, an initially uniformly spaced array forms a convex shape when $n=3$, i.e the middle particle leads, but forms a concave shape when $n = 4$. For larger odd numbers of particles, the final state consists of a mixture of concave and convex shapes. For larger even numbers of particles, the steady state remains a concave shape. Below a threshold of initial particle spacing, particles cluster in groups of 2 to 3.", "revisions": [ { "version": "v1", "updated": "2010-10-18T21:33:18.000Z" } ], "analyses": { "keywords": [ "intermediate reynolds numbers", "falling particles", "uniformly spaced array forms", "convex shape", "concave shape" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1010.3741E" } } }