Standing oscillations and traveling waves in systems with interfaces

• Nonlinear convective flows in a two-layer system are investigated.
• Periodic boundary conditions on the lateral boundaries are considered.
• The influence of an inclined temperature gradient on convective flows has been studied.
• Regimes of standing symmetric oscillations and traveling waves have been found.

Nonlinear oscillatory convective flows developed under the joint action of buoyant and thermocapillary effects in the 47v2 silicone oil–water system with periodic boundary conditions on the lateral walls have been studied. The influence of an inclined temperature gradient on convective regimes has been considered. Two-dimensional flows are studied by the finite difference method. Transitions between the flows with different spatial structures have been investigated. Regimes of standing symmetric oscillations, traveling waves, pulsating traveling waves moving in the opposite directions, and modulated traveling waves have been found.