{ "id": "1911.00280", "version": "v1", "published": "2019-11-01T09:59:38.000Z", "updated": "2019-11-01T09:59:38.000Z", "title": "Constitutive model for time-dependent flows of shear-thickening suspensions", "authors": [ "Jurriaan J. J. Gillissen", "Chris Ness", "Joseph D. Peterson", "Helen J. Wilson", "Michael E. Cates" ], "comment": "6 pages, 4 figures", "categories": [ "physics.flu-dyn", "cond-mat.soft" ], "abstract": "We develop a tensorial constitutive model for dense, shear-thickening particle suspensions subjected to time-dependent flow. Our model combines a recently proposed evolution equation for the suspension microstructure in rate-independent materials with ideas developed previously to explain the steady flow of shear-thickening ones, whereby friction proliferates among compressive contacts at large particle stresses. We apply our model to shear reversal, and find good qualitative agreement with particle-level, discrete-element simulations whose results we also present.", "revisions": [ { "version": "v1", "updated": "2019-11-01T09:59:38.000Z" } ], "analyses": { "keywords": [ "time-dependent flow", "shear-thickening suspensions", "large particle stresses", "tensorial constitutive model", "shear-thickening particle suspensions" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }