Global stability of Oldroyd-B fluids in plane Couette flow
Fluid Dynamics
2023-08-14 v1 Analysis of PDEs
Abstract
We prove conditions for global nonlinear stability of Oldroyd-B viscoelatic fluid flows in the Couette shear flow geometry. Global stability is inferred by analysing a new functional, called a perturbation entropy, to quantify the magnitude of the polymer perturbations from their steady-state values. The conditions for global stability extend, in a physically natural manner, classical results on global stability of Newtonian Couette flow.
Cite
@article{arxiv.2308.06001,
title = {Global stability of Oldroyd-B fluids in plane Couette flow},
author = {Joshua Binns and Andrew Wynn},
journal= {arXiv preprint arXiv:2308.06001},
year = {2023}
}