RT Journal Article
T1 Three dimensional viscoelastic instabilities in a four-roll mill geometry at the Stokes limit.
A1 Gutiérrez-Castillo, Paloma
A1 Kagel, Adam
A1 Thomases, Becca
K1 Stokes, Teorema de
AB Three-dimensional numerical simulations of viscoelastic fluids in the Stokes limit with a four-rollmill background force (extended to the third dimension). Both the Oldroyd-B model and FENE-Pmodel of viscoelastic fluids were used. Different temporal behaviors were observed depending onthe Weissenberg number (non-dimensional relaxation time), model, and initial conditions. Temporaldynamics evolve on long time scales and simulations were accelerated by using a GraphicsProcessing Unit (GPU). Previously, parameter explorations and long-time simulations in 3D wereprohibitively expensive. For small Weissenberg number, all the solutions are constant in the thirddimension, displaying strictly two-dimensional temporal evolutions. However, for sufficiently largeWeissenberg number, three-dimensional instabilities were observed, creating complex temporal behaviors.In some of the cases, the instability that first emerges is two-dimensional (in the x; yplane), and then the solution develops an instability in the z-direction whereas in others the zinstability comes first. Using a linear perturbation from a steady two-dimensional backgroundsolution, extended to three dimensions as constant in the third dimension, it is demonstrated thatthere is a linear instability for sufficiently large Weissenberg number, and possible mechanisms forthis instability are discussed.
PB American Institute of Physics
YR 2020
FD 2020
LK https://hdl.handle.net/10630/35894
UL https://hdl.handle.net/10630/35894
LA eng
NO P. Gutierrez-Castillo, A. Kagel and B. Thomases. Three dimensional viscoelastic instabilities in a four- roll mill geometry at the Stokes limit., Physics of Fluids, Vol.32, Issue 2, 2020.
NO Política de acceso abierto tomada de: https://openpolicyfinder.jisc.ac.uk/id/publication/9872
NO This work was partially supported by NSF Grant No. DMS-1664679
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026