Oscillatory Longwave Marangoni Convection in a Binary Liquid. Part 2: Square Patterns

Longwave oscillatory Marangoni convection in a planar binary liquid layer is studied. Finite-amplitude regimes with perturbations of temperature and solute concentration of order unity are considered. Both thermocapillary and solutocapillary effects are taken into account. Oneand two-dimensional patterns on a rhombic lattice are studied and their stability to the perturbations which do not necessarily belong to the lattice is analyzed. In the framework of the two-dimensional problem, traveling rolls are stable, whereas for a full three-dimensional problem alternating rolls are selected.