dorsal/arxiv
View SchemaSolitary coherent structures in viscoelastic shear flow: computation and mechanism
| Authors | K. Arun Kumar, Michael D. Graham |
|---|---|
| Categories | |
| ArXiv ID | physics/0005075 |
| URL | https://arxiv.org/abs/physics/0005075 |
| DOI | 10.1103/PhysRevLett.85.4056 |
Abstract
Starting from stationary bifurcations in Couette-Dean flow, we compute nontrivial stationary solutions in inertialess viscoelastic circular Couette flow. These solutions are strongly localized vortex pairs, exist at arbitrarily large wavelengths, and show hysteresis in the Weissenberg number, similar to experimentally observed ``diwhirl'' patterns. Based on the computed velocity and stress fields, we elucidate a heuristic, fully nonlinear mechanism for these flows. We propose that these localized, fully nonlinear structures comprise fundamental building blocks for complex spatiotemporal dynamics in the flow of elastic liquids.
{
"annotation_id": "82ccf57a-9f17-4f64-b2ab-943ed6ca3e7d",
"date_created": "2026-03-02T18:00:32.664000Z",
"date_modified": "2026-03-02T18:00:32.664000Z",
"file_hash": "43f2b4cd17ce0f1565904fc20cf6daba58f478e02e98bbfb1bf47743709e223b",
"private": false,
"record": {
"abstract": "Starting from stationary bifurcations in Couette-Dean flow, we compute\nnontrivial stationary solutions in inertialess viscoelastic circular Couette\nflow. These solutions are strongly localized vortex pairs, exist at arbitrarily\nlarge wavelengths, and show hysteresis in the Weissenberg number, similar to\nexperimentally observed ``diwhirl\u0027\u0027 patterns. Based on the computed velocity\nand stress fields, we elucidate a heuristic, fully nonlinear mechanism for\nthese flows. We propose that these localized, fully nonlinear structures\ncomprise fundamental building blocks for complex spatiotemporal dynamics in the\nflow of elastic liquids.",
"arxiv_id": "physics/0005075",
"authors": [
"K. Arun Kumar",
"Michael D. Graham"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevLett.85.4056",
"title": "Solitary coherent structures in viscoelastic shear flow: computation and mechanism",
"url": "https://arxiv.org/abs/physics/0005075"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "60ce97c7-dae0-4aeb-81e7-b661855d96a5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}