Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.1, pp.30-40

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.1, pp.30-40

Convection in Binary Fluid Mixtures: A Model of Four Coupled Amplitudes.
B. Huke and M. Lücke

We consider the bifurcation scenario that is found in Rayleigh-Bénard convection of binary fluid mixtures like ethanol-water at positive separation ratios and small Lewis numbers leading to a bifurcation sequence of square, oscillatory crossroll, stationary crossroll, and roll patterns. We propose a system of four coupled amplitudes that is capable to model all important properties.
Key words: Rayleigh-Bénard convection, Soret effect, pattern selection, amplitude equations

Full text: Acrobat PDF (675KB)