Stability boundaries of roll and square convection in binary fluid mixtures with positive separation ratio

Details Stability boundaries of roll and square convection in binary fluid mixtures with positive separation ratio Stability boundaries of roll and square convection in binary fluid mixtures with positive separation ratio

1999-11-16

arxiv.org/abs/patt-sol/9911005v1

J. Fluid Mech. 408, p. 121 (2000)

Nonlinear Sciences

Pattern Formation and Solitons

19 pages + 15 figures, accepted by Journal of Fluid Mechanics

Scientific paper

Rayleigh-B\'{e}nard convection in horizontal layers of binary fluid mixtures heated from below with realistic horizontal boundary conditions is studied theoretically using multi-mode Galerkin expansions. For positive separation ratios the main difference between the mixtures and pure fluids lies in the existence of stable three dimensional patterns near onset in a wide range of the parameter space. We evaluated the stationary solutions of roll, crossroll, and square convection and we determined the location of the stability boundaries for many parameter combinations thereby obtaining the Busse balloon for roll and square patterns.

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