The problems of lifting and dispersing of a dust layer behind the propagating shock wave as well as ignition, combustion of coal particles and dust-layered detonation formation in a tube are numerically investigated. The layered detonation is formed at large distance from the place of the primary shock wave initiation (similar to 100 diameters of the tube). The strong oblique transverse shocks caused by combustion zone were discovered. The acceleration of leading shock wave and dust-layered detonation formation are connected with increasing and intensification of combustion zone which strongly depends on arising system of the oblique waves due to the development of the dust layer instabilities and vice versa. In the applied model, the moving medium is treated as a two-phase, two-velocity and two-temperature continuum with mechanical and thermal interphase interaction. The numerical procedure is based on the finite-volume approach and is implemented for parallel computing. The results obtained are of interest for applications in predictive modelling of accidents in industrial systems with reactive dust. (C) 2012 Elsevier Ltd. All rights reserved.