Understanding of transport phenomena in fluid-fluid two-phase systems is essential for many engineering applications. When evaporation or condensation is considered, there exists a two-way coupling of momentum, heat and species transfer, i.e. the fluid flow influences the heat and species transfer and vice versa. The CFD-based simulation of evaporating and/or condensing flows requires models and numerical solution techniques for two-way coupled transport equations and their boundary conditions. Most results on transport phenomena in systems with phase change available in the literature are restricted by either isothermal or one-component systems. Recently we have proposed an approach for modelling and simulation of two-way coupled transport phenomena in non-isothermal two-phase binary systems and performed a first validation using some one-dimensional problems (Rieks and Kenig, 2018). In the present work, a further, more sound validation of the new model and simulation code is accomplished to govern two-dimensional systems. (C) 2017 Elsevier Ltd. All rights reserved.