Viscoplastic sheets and threads

Journal article

A theory is presented for the dynamics of slender sheets of viscoplastic fluid. First a model suitable for relatively small curvature is presented and applied to the fall of a liquid bridge supported at its two ends. Second, order-one curvatures are considered, along with the sagging of a beam with a free end that is either emplaced or extruded horizontally. We then present a theory combining both limits of curvature, and consider the buckling of a nearly vertical column. Analogous models for a circular viscoplastic thread are also discussed. © 2012 Elsevier B.V.

Authors: Balmforth, N; Hewitt, I

• Journal: Journal of Non-Newtonian Fluid Mechanics
• Volume: 193
• Pages: 28-42
• Publication date: 2013-03-01
• DOI: 10.1016/j.jnnfm.2012.05.007
• ISSN: 0377-0257
• Language: English
• Keywords: Viscoplastic fluids; Mathematical modelling; Bending and buckling theory