Effects of Inertia and Thermocapillarity in Non-isothermal Film Flow

The effect of moving heat source on the flow structure in gravity-driven thin liquid film is studied. The 2-D steady-state conjugated hydrodynamic and thermal problem is solved in long-wave approximation. The flow structures in different regimes are compared: from the regime of flow along vertical substrate with resting heat source to the regime with moving heat source and horizontal liquid layer.