Paper Number
PO36                         My Program 

Session
Poster Session

Title
The persistence of stress singularities in Oldroyd-B fluids

Presentation Date and Time
October 16, 2024 (Wednesday) 6:30

Track / Room
Poster Session / Waterloo 3 & 4

Authors (Click on name to view author profile)

1. Varchanis, Stylianos (Flatiron Institute, Simons Foundation, Center for Computational Biology)
2. Stein, David B. (Flatiron Institute, Simons Foundation, Center for Computational Biology)

Author and Affiliation Lines (in printed abstract book)
Stylianos Varchanis and David B. Stein
Center for Computational Biology, Flatiron Institute, Simons Foundation, New York, NY 10010

Speaker / Presenter 
Varchanis, Stylianos

Keywords
non-Newtonian fluids

Text of Abstract
Thomases and Shelley [1] demonstrated that the Oldroyd-B model evinces an infinite-time stress singularity under planar extensional flows. By deriving an approximate local solution, we show that adding a stress diffusion term to the Oldroyd-B model does not remove this singularity. Instead, with increasing stress diffusivity, the hyperbolic point is translated to higher values of the Weissenberg number. Our approximate local solution is validated by two-dimensional numerical solutions of the governing equations. Finally, we discuss the possible implications of our finding in complex fluids characterization and stabilization of non-Newtonian flow simulations.

[1] Thomases, Becca, and Michael Shelley. Physics of fluids 19.10 (2007).