DOI: 10.18503/1995-2732-2026-24-3-25-34
Abstract
Problem Statement (Relevance). The need to reduce the production cost of Russia’s gross domestic product and improve the energy efficiency of enterprises in the mining and metallurgical and oil and gas industries makes it particularly important to improve the methodology for developing mathematical models of the aerodynamics of radial airfoil cascades and to develop highly energy-efficient and highly loaded centrifugal mine fans based on the principle of nature-like proportionality. Objectives. The research is aimed at increasing the aerodynamic pressure generated by fans, their energy efficiency, and adaptability by controlling the permeability of impeller blades. Methods Applied. The theoretical foundations for studying the effect of a permeability dipole on the aerodynamic loading and efficiency of mine centrifugal fans are based on the hydrodynamic analogy between a dipole and flow circulation, since the dipole moment is determined by the flow rate and the position of a source and sink located symmetrically with respect to the origin as their positions approach the origin in the limiting transition. Originality. In contrast to classical circulation, in which an increase in flow velocity is associated with an increase in the length of the flow path from the front stagnation point to the rear stagnation point, the proposed mathematical model attributes the change in velocity to a change in the amount of air, which, under the law of conservation of mass, constitutes a hydrodynamic analogue of velocity. Result. To verify the developed mathematical model, a radial aerodynamic configuration CD128-19P has been designed, with a source and sink forming a dipole and emerging onto the rear and working surfaces of the blade, respectively. The gas-exhausting fan VCPG-8 developed on the basis of the proposed aerodynamic configuration increased the generated pressure by 30% and efficiency by 8% compared with serially manufactured UVCG-type fans. Practical Relevance. The mathematical model describing the dependence of fan aerodynamic loading on a permeability dipole located on the impeller blade profile can be used to develop gas-exhausting fans for combined ventilation systems in gassy coal mines, as well as auxiliary ventilation fans to ensure aerodynamic safety in long blind-end mine workings.
Keywords
conformal mapping, rear stagnation point, complex potential, vortex formation, Riemann surface, N. E. Zhukovsky theory, circulatory flow, conjugate complex velocity, adaptability, permeability
For citation
Makarov N.V., Nurkhozhaev E.S., Makarov V.N., Popov S.A. Theoretical Foundations of the Dependence of Aerodynamic Loading and Energy Efficiency of Mine Centrifugal Fans on the Permeability Dipole on Impeller Blade Profiles. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2026, vol. 24, no. 3, pp. 25-34. https://doi.org/10.18503/1995-2732-2026-24-3-25-34
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