dorsal/arxiv
View SchemaInfluence of the Dufour effect on convection in binary gas mixtures
| Authors | St. Hollinger, M. Luecke |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9505002 |
| URL | https://arxiv.org/abs/patt-sol/9505002 |
| DOI | 10.1103/PhysRevE.52.642 |
| Journal | Phys. Rev. E, 52, 642-657 (1995) |
Abstract
Linear and nonlinear properties of convection in binary fluid layers heated from below are investigated, in particular for gas parameters. A Galerkin approximation for realistic boundary conditions that describes stationary and oscillatory convection in the form of straight parallel rolls is used to determine the influence of the Dufour effect on the bifurcation behaviour of convective flow intensity, vertical heat current, and concentration mixing. The Dufour--induced changes in the bifurcation topology and the existence regimes of stationary and traveling wave convection are elucidated. To check the validity of the Galerkin results we compare with finite--difference numerical simulations of the full hydrodynamical field equations. Furthermore, we report on the scaling behaviour of linear properties of the stationary instability.
{
"annotation_id": "01e65e9b-f256-4d48-94a5-7742ffcae9a0",
"date_created": "2026-03-02T18:00:28.614000Z",
"date_modified": "2026-03-02T18:00:28.614000Z",
"file_hash": "6a78386c29fc7ed8ad57620408b5b77dd1fbaa1f0187bba7e6f78899849ac5f4",
"private": false,
"record": {
"abstract": "Linear and nonlinear properties of convection in binary fluid layers heated\nfrom below are investigated, in particular for gas parameters. A Galerkin\napproximation for realistic boundary conditions that describes stationary and\noscillatory convection in the form of straight parallel rolls is used to\ndetermine the influence of the Dufour effect on the bifurcation behaviour of\nconvective flow intensity, vertical heat current, and concentration mixing. The\nDufour--induced changes in the bifurcation topology and the existence regimes\nof stationary and traveling wave convection are elucidated. To check the\nvalidity of the Galerkin results we compare with finite--difference numerical\nsimulations of the full hydrodynamical field equations. Furthermore, we report\non the scaling behaviour of linear properties of the stationary instability.",
"arxiv_id": "patt-sol/9505002",
"authors": [
"St. Hollinger",
"M. Luecke"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.52.642",
"journal_ref": "Phys. Rev. E, 52, 642-657 (1995)",
"title": "Influence of the Dufour effect on convection in binary gas mixtures",
"url": "https://arxiv.org/abs/patt-sol/9505002"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7da64480-861f-4124-a76b-3a7053eccf25",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}