A model and numerical study for coiling of Kelvin-type viscoelastic filament

摘要

Coiling problems of elastic rope and viscous jet have been fully studied both experimentally and theoretically, but very few studies exist for viscoelastic material. In this paper, a system of one-dimensional two-point boundary nonlinear equations for Kelvin material coiling is presented. The equations are solved numerically by continuation method. It is found that the coiling frequency depends on the dimensionless retardation time and other continuation parameters involving inertia and gravity. The multivaluedness of the solution is observed in the numerical study. (C) 2015 Elsevier Ltd. All rights reserved.