{ "id": "physics/0111003", "version": "v1", "published": "2001-11-02T08:12:51.000Z", "updated": "2001-11-02T08:12:51.000Z", "title": "Theory of Drop Formation", "authors": [ "Jens Eggers" ], "journal": "Physics of Fluids 7, 941-953 (1994)", "doi": "10.1063/1.868570", "categories": [ "physics.flu-dyn" ], "abstract": "We consider the motion of an axisymmetric column of Navier-Stokes fluid with a free surface. Due to surface tension, the thickness of the fluid neck goes to zero in finite time. After the singularity, the fluid consists of two halves, which constitute a unique continuation of the Navier-Stokes equation through the singular point. We calculate the asymptotic solutions of the Navier-Stokes equation, both before and after the singularity. The solutions have scaling form, characterized by universal exponents as well as universal scaling functions, which we compute without adjustable parameters.", "revisions": [ { "version": "v1", "updated": "2001-11-02T08:12:51.000Z" } ], "analyses": { "keywords": [ "drop formation", "navier-stokes equation", "fluid consists", "navier-stokes fluid", "universal scaling functions" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Physics of Fluids", "year": 1995, "month": "May", "volume": 7, "number": 5, "pages": 941 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1995PhFl....7..941E" } } }