A Second-Gradient Theory of Dilute Suspensions of Flexible Rods in a Newtonian Fluid

作者:Abisset Chavanne E; Ferec J; Ausias G; Cueto E; Chinesta F*; Keunings R
来源:Archives of Computational Methods in Engineering, 2015, 22(3): 511-527.
DOI:10.1007/s11831-014-9128-6

摘要

Most suspension descriptions used nowadays are based on Jeffery's model or some phenomenological modifications of it that do not take into account size effects: the kinematics and stresses do not involve a micro-mechanical characteristic length and thus, the predicted rheological properties are necessarily independent of rod length. More sophisticated models able to enrich first-gradient kinematics as well as to activate rod-bending mechanisms are needed, in particular to explain the mild elasticity observed experimentally. In this paper we propose a second-gradient theory for dilute suspensions of flexible rods in a Newtonian fluid that is indeed able to activate rod bending and predict viscoelastic behaviour.

  • 出版日期2015-7