Influence of through flow on binary fluid convection

The influence of an externally imposed lateral Poiseuille through flow on linear, nonlinear, and transient behavior of transverse convective rolls in a horizontal layer of binary fluids heated from below is investigated. The convective roll solutions are determined numerically for realistic boundary conditions with a many-mode Galerkin expansion as well as with a finite-difference method. Bifurcation diagrams of various quantities like Nusselt number, frequency, and mixing behavior are determined as functions of heating rate and wave number for several through flow rates and Soret coupling strengths for ethanol-water parameters. The growth dynamics of small convective perturbations into different, strongly nonlinear convective states and the transition between the latter is studied also.