A Period-Doubling Route to Chaos in Viscoelastic Kolmogorov Flow
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929739868930048 |
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| author | Nichols, Jeffrey Guy, Robert D. Thomases, Becca |
| author_facet | Nichols, Jeffrey Guy, Robert D. Thomases, Becca |
| contents | Polymer solutions can develop chaotic flows, even at low inertia. This purely elastic turbulence is well studied, but little is known about the transition to chaos. In 2D channel flow and parallel shear flow, traveling wave solutions involving coherent structures are present for sufficiently large fluid elasticity. We numerically study 2D periodic parallel shear flow in viscoelastic fluids and show that these traveling waves become oscillatory and undergo a series of period-doubling bifurcations en-route to chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16517 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Period-Doubling Route to Chaos in Viscoelastic Kolmogorov Flow Nichols, Jeffrey Guy, Robert D. Thomases, Becca Fluid Dynamics Polymer solutions can develop chaotic flows, even at low inertia. This purely elastic turbulence is well studied, but little is known about the transition to chaos. In 2D channel flow and parallel shear flow, traveling wave solutions involving coherent structures are present for sufficiently large fluid elasticity. We numerically study 2D periodic parallel shear flow in viscoelastic fluids and show that these traveling waves become oscillatory and undergo a series of period-doubling bifurcations en-route to chaos. |
| title | A Period-Doubling Route to Chaos in Viscoelastic Kolmogorov Flow |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2407.16517 |