Flat Elastic Disc Suspensions Are Indistinguishable from Solutions of Long Flexible Polymers within Planar Incompressible Flows
We prove analytically that the two fundamental rheological equations for (elastic) disc suspensions and long flexible polymers, the so-called Oldroyd-A and -B models, respectively, predict the same flow and total stress fields in any planar incompressible flow. We illustrate this equivalence for creeping flow in a cross-slot channel and investigate differences arising from three-dimensional effects in a weakly elastic Taylor-Couette flow. Finally, we discuss implications for understanding elastic instabilities, controlling inertial turbulence, and deriving constitutive models for complex fluids.
Authors
- Amy Q. Shen (ORCID: https://orcid.org/0000-0002-1222-6264)
- Robert J. Poole (ORCID: https://orcid.org/0000-0001-6686-4301)
- Simon J. Haward (ORCID: https://orcid.org/0000-0002-1884-4100)
- Mahdi Davoodi (ORCID: https://orcid.org/0000-0002-1707-6453)
- Stylianos Varchanis
- Richard L. Hill (ORCID: https://orcid.org/0000-0003-0114-2118)
- Karl J. Friston
Institutions
- Okinawa Institute of Science and Technology Graduate University (JP)
- University of Liverpool (GB)
- Simons Foundation (US)
- Schlumberger (United Kingdom) (GB)
- Schlumberger (Norway) (NO)
- Flatiron Health (United States) (US)
- Flatiron Institute (US)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-06-02
- DOI
- https://doi.org/10.1103/pmsq-b1th
- Citations
- 2
- Primary Topic
- Rheology and Fluid Dynamics Studies
- Type
- article
- Field-Weighted Citation Impact
- 1.44