Heat and mass transfer in the liquid film on a vertical wall in roll-wave regime

The investigation of thin liquid film flowing down a vertical wall in the roll-wave regime in presence of heat and mass transfer through the free surface is presented. The roll-wave equation taking into account heat and mass transfer through the liquid-vapor interface has been derived. The self-similar solutions of the progressive-wave type for film thickness have been obtained. The families of discontinuous solutions have been constructed, where the progressive waves are conjugated with each other or with "residual" film thickness through the strong discontinuity. As an example, the calculations of the condensate water film flowing down a vertical surface are presented.