The surface morphology of dissolving and/or melting solid bodies in a fluid is of interest in many applications. The surface pattern formation is strongly correlated with the forces exchanged between the fluid and the body. Indeed, on one hand, a solvable body is dissolving in the fluid due to a concentration gradient and/or melting due to a temperature gradient, thus destabilising the fluid boundary layer on its surface. On the other hand, the boundary layer is the major agent in eroding the body surface, through the application of shear forces. Therefore, studies on the topic are useful not only for claryfing the physical phenomena involved, thus enabling more accurate mathematical models, or for increasing the predictability in commercial engineering applications.