Abstract
Using a position-space renormalisation group (RG) the phase diagram for wetting of the substrate interacting randomly with the Ising system is analysed. The critical probability pc for the onset of wetting is calculated as a function of temperature. It is expected that numerical values obtained for the two-dimensional system are quite accurate when compared with (non-existent) exact results. Results for a three-dimensional system are expected to be qualitatively correct.