Bibliographic Details
| Title: |
Linear stability analysis of purely elastic travelling wave solutions in pressure driven channel flows |
| Authors: |
Lellep, Martin, Linkmann, Moritz, Morozov, Alexander |
| Publication Year: |
2022 |
| Collection: |
Physics (Other) |
| Subject Terms: |
Physics - Fluid Dynamics |
| More Details: |
Recent studies of pressure-driven flows of dilute polymer solutions in straight channels demonstrated the existence of two-dimensional coherent structures that are disconnected from the laminar state and appear through a sub-critical bifurcation from infinity. These travelling-wave solutions were suggested to organise the phase-space dynamics of purely elastic and elasto-inertial chaotic channel flows. Here, we consider a wide range of parameters, covering the purely-elastic and elasto-inertial cases, and demonstrate that the two-dimensional travelling-wave solutions are unstable when embedded in sufficiently wide three-dimensional domains. Our work demonstrates that studies of purely elastic and elasto-inertial turbulence in straight channels require three-dimensional simulations, and no reliable conclusions can be drawn from studying strictly two-dimensional channel flows.
Comment: 10 pages, 5 pages |
| Document Type: |
Working Paper |
| DOI: |
10.1017/jfm.2023.100 |
| Access URL: |
http://arxiv.org/abs/2211.09063 |
| Accession Number: |
edsarx.2211.09063 |
| Database: |
arXiv |
