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Purpose. Using the mathematical model, to study the air velocity flow in a filter box of a respirator taking into ac­ count its inluence on the geometric parameters and protective efficiency. To define the influence of geometric parameters of a filter box on kinematic characteristics and its protective ef­ ficiency. methodology. To develop the mathematical model, the method of analysis and synthesis was applied. In the course of the analysis, the filter box was divided into a number of zones for estimation of the motion process of dust and gas flows. The synthesis method was used to describe the motion of a two­phase dust­laden flow in the cylindrical coor­ dinate system r, z, θ in Eulerian variables. Findings. Geometrical parameters of a filter box of a respirator have been optimised including the outlet port di­ ameter; confusor height; outlet port shifting regarding the filter box centre. Originality. A new technique for optimization of the geometrical parameters of a filter box of a respirator based on the mathematical model was presented. Dependencies of distribution of air flow velocities for filter boxes of different geometry have been obtained and dependencies between its aerodynamic and geometrical parameters have been es­ tablished. Practical value. The results allow defining the parameters of a filter box with minimum resistance to the air flow and improving protective efficiency of the respirator.

Developing a mathematical model of linkage parameters of air flow in a filter box