FIRE AND INDUSTRIAL SAFETY (CIVIL ENGINEERING) DEVELOPMENT OF A MATHEMATICAL MODEL OF SPREAD OF SMOKE GASES IN THE EARLY STAGE OF A FIRE

Statement of the problem. At present, the approach to the modelling of smoke extraction system based on static model of fire is widely used. In this model, heat and smoke emissions are considered to be constant. However, a static model does not allow one to assess the propagation of smoke gases in building in the early, the most important, stage of a fire. Results and conclusions. The mathematical model of field of concentrations of smoke gases in adjacent premises is obtained. The model consists of partial differential equations for premises in which fire occurred, and of ordinary differential equations for adjacent premises. The mathematical model differs from existing model in that it allows one to calculate fields of concentrations of smoke gases for buildings of any configurations including a system of premises. Algorithms for the solutions of equations of the model obtained are developed, which enables the solution of the obtained equations in conjunction with the whole system of premises of the building.