Mathematical model of active control over circulatory flow in mine fans

Improvement of aerodynamic loading and adaptability of mine fans toward competitive advantage of mines needs engineering active controls. Based on the proposed hypothesis of correlation of the source intensity on blade surface profile and the rear endpoint position, the mathematical model is constructed for the active control of aerodynamics in turbomachinery. The mathematical model is based on the conformal mapping method, theory of residues and singular equations. Using a hydrodynamic analogy, positions of the profile endpoints and circulation of air flow are correlated. The relationship between the aerodynamic loading and adaptability of mines fans and the effective endpoint positions and energy characteristics of blade airflow control is determined. The design of a mine fan impeller with the energy-based control over air circulation using air flow from the fan body is patented. The proposed effective method and implementor essentially improve the aerodynamic loading and adaptability of mine fans. The novel aerodynamic design TS 142-16 is embodied in gas-suction fan VTSG-7V having the aerodynamic loading and adaptability improved by 35 and 50%, respectively.

Makarov V. N., Makarov N. V., Ugolnikov A. V., Molchanov M. V. Mathematical model of active control over circulatory flow in mine fans. MIAB. Mining Inf. Anal. Bull. 2021;(11-1):239—247. [In Russ]. DOI: 10.25018/0236_1493_2021_111_0_239.

Makarov V. N.¹, Dr. Sci. (Eng.), Professor of the Mining Mechanics Department;
Makarov N. V.¹, Cand. Sci. (Eng.), Professor, Head of the Mining Mechanics Department;
Ugolnikov A. V.¹, Cand. Sci. (Eng.), Associate Professor, Head of the Electrical Engineering Department;
Molchanov M. V.², Strategic Mining Project Manager;
¹ Ural State Mining University, Yekaterinburg, Russia; 2 Uralmekhanobr, Yekaterinburg, Russia.

Makarov N. V., e-mail: mnikolay84@mail.ru.

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