1998/06/30 by Wayne A. Tokaruk, Tokaruk, Wayne A., T. C. A. Molteno +3
Computer Science · Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Thin Films #Fluid Dynamics and Turbulent Flows #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS) #chao-dyn #nlin.CD #nlin.PS #patt-sol #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.patt-sol/9807001
5 pages, 2 column, 3 eps figures, one large. See also http://mobydick.physics.utoronto.ca
arxiv created 1998/06/30 · openalex publication_date 1998/06/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe experiments on Bénard-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.