MATHEMATICAL SIMULATION OF DUST LIFTING FROM THE SURFACE UDC 532.529A. V. Fedorov,

Results of numerical simulation of the shock wave passing along a dusty layer are presented; the simulation was performed under the one-temperature, one-velocity assumption. It is shown that a system of compression and expansion waves is formed inside the layer, and these waves are succes-sively reflected from the external boundary and solid wall. Regular and irregular reflections of the leading shock wave from the solid wall with different scenarios of instability evolution on the layer edge are described. Possible mechanisms of particle lifting from the surface are described. Introduction. Problems of explosion and fire safety in dusty industries have attracted the researchers’ attention for decades. A large number of experimental and theoretical works have been fulfilled. Nevertheless, the mechanisms of heterogeneous detonation of dusty suspensions have not been identified, and there is no mathematical model taking into account all factors of this complicated process. Emergence of an explosion in a dusty atmosphere, for instance, in a coal mine, can have the following scheme