Deposition of evaporating droplets in a decelerating boundary layer with wall suction: Mathematical analysis

The problem of spray/droplets dynamics in a downstream decelerating boundary layer accompanied by evaporation and wall suction is treated analytically. A similarity approach is employed and explicit expressions are obtained for the distribution of the host-gas velocity and for the distribution of the liquid phase. Several options are considered in terms of evaporation, including the possibilities of constant evaporation in the lateral direction of the boundary layer and of evaporation dependent on proximity to the wall. The results reveal the possibility that, under certain conditions, the liquid phase concentration reaches an extremum inside the boundary layer domain, rather than at the wall or in the free stream.