Two computer based modelling approaches are presented in this paper which focus on the flow of dust in bulk solids handling operations. Granular flow through a constant radius chute is modelled using computational fluid dynamics (CFD) in which a multiphase simulation is considered. This approach provides valuable information about the flow of dust and the results are confirmed by experimental observations. An expanded approach is then considered for a conveyor transfer in which CFD modelling is combined with the well known continuum model [1], as well as drawing on qualitative results obtained utilising the discrete element method (DEM). The results obtained from this method are also confirmed from experimental observations.