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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2025 Number 94, Pages 109–123 (Mi vtgu1154)

MECHANICS

Mathematical modeling of the aerosol thermoaeroseparation in shaft furnaces for drying ore materials

R. G. Akhmetova, G. P. Dyldinb, V. N. Makarovb, N. V. Makarovb

a JSC “Kostanay Minerals”, Zhitikara, Kazakhstan
b Ural State Mining University, Ekaterinburg, Russian Federation

Abstract: This paper considers dust thermoaeroseparation mechanics directly in a vertical shaft drying furnace (VSDF) to substantiate an innovative technology for improving the efficiency of dust collection and develop a methodology for creating environmentally efficient furnaces.
The novelty of theoretical studies on the two-phase medium separation in a VSDF is based on a scientifically proven hypothesis about the dominant effect on the VSDF ecological efficiency of the aerosol parameters determining the quality of dust collection: concentration, median size, dispersion, temperature, and humidity of dust at the furnace outlet. The proposed hypothesis is adequate to the nature-like commensurability of the drying process with the feedback drying of suspended aerosol particles to the parameters providing maximum dust collection efficiency.
The mathematical model of thermoaeroseparation in the VSDF is verified in JSC “Kostanay Minerals”. The results confirm an increase in the ecological efficiency of the furnace by 62 % with a confidence level of 0.95 and an error of less than 11 %. Thus, the obtained data can be considered when modernizing shaft furnaces to improve their environmental efficiency.

Keywords: thermoaeroseparation, environmental efficiency, aerosol, inlet collector, Stokes forces, Froude criterion, dust-collecting chamber.

UDC: 532.529

Received: 13.11.2023
Accepted: April 10, 2025

DOI: 10.17223/19988621/94/9



© Steklov Math. Inst. of RAS, 2025