Additive mathematical model for assessing the dust collection quality of heat and mass transfer equipment and its verification
Аддитивная математическая модель оценки качества пылеулавливания тепломассобменного оборудования и её верификация
Nurkhozhaev E.S. Makarov V.N. Makarov N.V. Popov S.A.
2025North Caucasian Institute of Mining and Metallurgy, State Technological University
Sustainable Development of Mountain Territories
2025#17Issue 31495 - 1502 pp.
Introduction. Currently, environmental factors at manufacturing enterprises are becoming increasingly important and require the implementation of new methods for their improvement. Purpose of the research. Creation of a mathematical model for assessing the quality of heat and mass transfer equipment (HMT) in terms of dust capture for classification according to environmental efficiency. Assessment of the feasibility of using inertial-gravity separators built into the dryer. Verification of the resulting mathematical model for assessing the quality of HMT and determining its reliability. Materials and methods. The method is based on the use of the principle of superposition, i.e. the additivity of ordinary differential equations describing the motion of particles in gravitational and aerodynamic force fields, by reducing a multi-parameter problem to a two-parameter problem through their orbital velocity and inertial path length. Results. The total fractional dust collection coefficient has been determined. An additive mathematical model has been created to calculate the TMOO quality coefficient depending on its geometric parameters and heat transfer fluid characteristics. Experimental studies have confirmed the reliability of the proposed method for assessing the qualities of TMOO and ranking their designs according to environmental efficiency criteria. The feasibility of using separators built into the dryer to increase the efficiency of dust collection directly in the TMOO has been proven. Discussion. To create an additive mathematical model, criteria were selected to determine separation efficiency and quality assessment. Subsequently, this sample allowed the efficiency criteria to be ranked by importance. This served as the basis for creating the mathematical model described in the article. Conclusions. 1. A mathematical model for assessing the quality of heat and mass transfer equipment (HMT) has been proposed. 2. The proposed dust capture efficiency coefficient allows the type of technological equipment to be classified according to its environmental efficiency factor in accordance with GOST R ISO 14031-2016. 3. Operational assessment of the fractional efficiency of TMOO allows for the formation of management to minimise negative impact on the environment. Resume. 1. The article presents the results of research on heat and mass transfer equipment and defines the criteria for dust collection quality for the creation of a mathematical model for their assessment. 2. The proposed model for assessing the quality of heat and mass transfer equipment allows for the optimisation of the design of dryers in terms of environmental efficiency at the design stage, as well as during the modernisation of this type of technological equipment.
additivity , differential equations , efficiency , fraction , separation , specific gravity , TMOO quality
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Kostanay Minerals JSC, 67, Lenin str., Kostanay, Zhitikara, 110700, Kazakhstan
Ural State Mining University, 30, Kuibyshev St., Sverdlovsk Region, Yekaterinburg, 620144, Russian Federation
Kostanay Minerals JSC
Ural State Mining University
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