dorsal/arxiv
View SchemaBenard-Marangoni Convection in Two Layered Liquids
| Authors | Wayne A. Tokaruk, T. C. A. Molteno, Stephen W. Morris |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9807001 |
| URL | https://arxiv.org/abs/patt-sol/9807001 |
Abstract
We describe experiments on B{\'e}nard-Marangoni convection in horizontal layers of two immiscible liquids. Unlike previous experiments, which used gases as the upper fluid, we find a square planform close to onset which undergoes a secondary bifurcation to rolls at higher temperature differences. The scale of the convection pattern is that of the thinner lower fluid layer for which buoyancy and surface tension forces are comparable. The wavenumber of the pattern near onset agrees with the prediction of the linear stability analysis for the full two-layer problem. The square planform is in qualitative agreement with recent one- and two-layer nonlinear theories, which fail however to predict the transition to rolls.
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"date_created": "2026-03-02T18:00:29.363000Z",
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"abstract": "We describe experiments on B{\\\u0027e}nard-Marangoni convection in horizontal\nlayers of two immiscible liquids. Unlike previous experiments, which used gases\nas the upper fluid, we find a square planform close to onset which undergoes a\nsecondary bifurcation to rolls at higher temperature differences. The scale of\nthe convection pattern is that of the thinner lower fluid layer for which\nbuoyancy and surface tension forces are comparable. The wavenumber of the\npattern near onset agrees with the prediction of the linear stability analysis\nfor the full two-layer problem. The square planform is in qualitative agreement\nwith recent one- and two-layer nonlinear theories, which fail however to\npredict the transition to rolls.",
"arxiv_id": "patt-sol/9807001",
"authors": [
"Wayne A. Tokaruk",
"T. C. A. Molteno",
"Stephen W. Morris"
],
"categories": [
"patt-sol",
"chao-dyn",
"nlin.CD",
"nlin.PS",
"physics.flu-dyn"
],
"title": "Benard-Marangoni Convection in Two Layered Liquids",
"url": "https://arxiv.org/abs/patt-sol/9807001"
},
"schema_id": "dorsal/arxiv",
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"execution_id": "5c5eec94-8eb5-44ca-9389-63d80ef6fad1",
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"variant": "snapshot-2026-03-01",
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