Evaporation, heating, solid dissolution, and gas absorption in a thin liquid film on the outer surface of a wedge or cone embedded in a porous medium

This paper reports on the problems of evaporation, heating, solid dissolution and gas absorption outside a wedge or cone embedded in a porous medium that were investigated using analytical and numerical procedures. The numerical solution employed a body-fitted curvilinear coordinate system where the location of the free surface separating the liquid film from the adjacent medium was determined by using an iterative procedure. The analysis solved the simplified equations by retaining only the most significant terms after performing a scaling analysis. Results are presented for the variation of film height, means temperature (or concentration) and Nusselt (or Sherwood) number along the inclined surface for all the above transport processes. The Nusselt (or Sherwood) number and mean temperature (or concentration) were found to depend on the dimensionless distance along the surface, dimensionless flow rate, geometry and the type of transport process