{ "id": "2404.15019", "version": "v1", "published": "2024-04-23T13:24:27.000Z", "updated": "2024-04-23T13:24:27.000Z", "title": "A unified analytical prediction for steady-state behavior of confined drop with interface viscosity under shear flow", "authors": [ "Fabio Guglietta", "Francesca Pelusi" ], "categories": [ "physics.flu-dyn", "cond-mat.soft" ], "abstract": "In this Letter, we fill in the blanks in the theory of drops under shear flow by unifying analytical predictions for steady-state behavior proposed by Flumerfelt [R. W. Flumerfelt, J. Colloid Interface Sci. 76, 330 (1980)] for unconfined drops with interface viscosity with the one of Shapira & Haber [M. Shapira and S. Haber, Int. J. Multiph. Flow. 16, 305 (1990)] for confined drops without interface viscosity. Our predictions for both steady-state drop deformation and inclination angle are broadly valid for situations involving confined/unconfined drops, with/without interface viscosity and viscosity ratio, thus making our model so general that it can include any of the above conditions.", "revisions": [ { "version": "v1", "updated": "2024-04-23T13:24:27.000Z" } ], "analyses": { "keywords": [ "shear flow", "unified analytical prediction", "steady-state behavior", "confined drop", "colloid interface sci" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }