Square pattern convection in binary fluids with experimental boundary conditions

Pattern selection in binary-fluid convection with a positive separation ratio S is studied. Relative stability between rolls and squares in an unbounded plane layer with experimentally relaistic boundary conditions (fixed temperature, no-slip, and no solutal flux) at the top and bottom is determined. For a mixture with Lewis number τ=0.02 and Prandtl number σ=10 confined between perfectly conducting boundaries, squares are stable whenever S>${\mathit{S}}_3$=1.01×${10}^{\mathrm{-}5}$.