Synthesis of a Mathematical Model of Thermal Processes of Buildings. Systems Approach

Author(s):  
Alexander Kutsenko ◽  
Sergii Kovalenko ◽  
Vladimir Tovazhnyanskyy ◽  
Svitlana Kovalenko
2018 ◽  
Vol 212 ◽  
pp. 01032 ◽  
Author(s):  
Amur Fiapshev ◽  
Olesya Kilchukova ◽  
Yuriy Shekikhachev ◽  
Marat Khamokov ◽  
Luan Khazhmetov

One of the promising areas of processing poultry and livestock waste is anaerobic digestion, which helps to prevent pollution of the natural environment, as well as to receive processing products such as gaseous fuel, biogas and highly effective biofertilizer. The use of plants for the production of biological gas as alternative sources of energy is largely determined by its design characteristics and the worked out technological regimes. The study was conducted with the aim of obtaining data on the effect of the main parameters of the biogas plant and the heat exchanger-agitator on the quality of its operation. This paper considers the thermal processes taking place in the biogas plant in which the mixing device and the heating element are combined into one unit, which allows heating and maintaining the given temperature regime more evenly due to the rotation of the heat exchanger and the transfer of biomass heat throughout the whole volume of the methane. As a result of theoretical studies of the processes of heat exchange and heat transfer taking place in the biogas plant, a mathematical model has been obtained that allows determining the distribution of the temperature of the biomass throughout the entire volume of the methane. It is established that the theoretical temperature homogeneity of the stirred medium is achieved by combining the heat exchanger and the mixing device into one unit, the design and technological parameters of which characterize the intensity of the forced motion of fermentable manure, while changing the value of thermal conductivity.


2020 ◽  
Vol 164 ◽  
pp. 02011
Author(s):  
Vladimir Lebedev ◽  
Ekaterina Yushkova

The article is devoted to the issue of thermodynamic optimization of heat transfer systems. Optimization is carried out by an exergy pinch method. This method includes the advantages of exergy analysis and pinch method. Exergy analysis takes into account the quantitative and qualitative characteristics of thermal processes, the pinch method allows structural and parametric optimization of heat transfer systems. The article presents a mathematical model for optimization by exergy pinch analysis. This model allows automated system optimization. Exergy pinch analysis allows more efficient use of energy and resources at the enterprise, which is relevant today.


2020 ◽  
pp. 55-60
Author(s):  
YU.V. Dimov ◽  
D.B. Podashev

The thermal processes that occur during processing with elastic abrasive wheels (EAW) are analyzed. The calculation of heat from the impact of a single abrasive grain and the temperature of the billet during processing, which should be lower than the melting temperature of the EAW polymer binder, is proposed. The adequacy of the mathematical model is confirmed by experiments. Keywords: ELASTIC ABRASIVE WHEEL, MICRORELIEF, CUTTING FORCE, TEMPERATURE, PROCESSING MODE. [email protected]


2020 ◽  
Vol 161 ◽  
pp. 01001
Author(s):  
Vladimir Aleksandrovich Lebedev ◽  
Ekaterina Aleksandrovn Yushkova

The article is devoted to the issue of thermodynamic optimization of heat transfer systems. Optimization is carried out by an exergy pinch method. This method includes the advantages of exergy analysis and pinch method. Exergy analysis takes into account the quantitative and qualitative characteristics of thermal processes, the pinch method allows structural and parametric optimization of heat transfer systems. The article presents a mathematical model for optimization by exergy pinch analysis. This model allows automated system optimization. Exergy pinch analysis allows more efficient use of energy and resources at the enterprise, which is relevant today.


2015 ◽  
Vol 23 (1) ◽  
pp. 21-40 ◽  
Author(s):  
Linda K. Gibson ◽  
Bruce Finnie ◽  
Jeffrey L Stuart

Purpose – This paper aims to explore organizational structure, efficiency and evolution, and its relationship to bureaucracy. A new mathematical model is utilized to generate theoretically consistent relationships between economic performance and organizational scale and structure, and to develop a taxonomy of organizational structure. Design/methodology/approach – A systems approach is used to model structural evolution and generate consistent, testable hypotheses concerning organizational sustainability and financial performance. This theoretical treatment seeks to reconcile contradictory views of bureaucracy, modeling both positive and negative impacts on performance and behavior. A variant of agency theory is used as an organizing paradigm, based on three competing organizational needs: control, autonomy and ownership of consequences. Findings – Simulations reveal that organizations evolve through five stages of development: from an entry (flat/parallel) stage, through a hybrid or mixed stage, to the massively serial (hierarchical) stage. As firms evolve, the risk/return ratio first falls as employment expands, but later rises as higher levels of hierarchy appear. Eventually, organizational complexity rises sufficiently to produce lower levels of managerial ownership of consequences and professional autonomy, as well as higher levels of control, leading to a collapse of organizational efficiency. A subtle variation of agency theory is revealed: upper-management may maximize organizational depth, increasing salary differences between levels. Originality/value – This paper uses an internally consistent, deductive framework to elucidate relationships between task complexity, skill level, industry life-cycle and firm age – providing the first known attribute-based metric for organizational complexity. This approach is reminiscent of Perrow’s (1999) non-mathematical treatment of organizational systems complexity.


2014 ◽  
Vol 705 ◽  
pp. 169-173
Author(s):  
Valentin Morozov ◽  
Alexey Zhdanov ◽  
Alexander Shlegel ◽  
Alexander Ivanchenko

This article focuses on the development and validation of a mathematical model that describes the interaction between radiation and thermal processes multi-channel СО2-laser with cast iron. The proposed model is based on experimental and numerical results obtained by the authors and allows the selection of rational modes of laser thermo strengthening for multichannel СО2-lasers.


2018 ◽  
Vol 7 (4.36) ◽  
pp. 1046
Author(s):  
Ramil T. Nasibullin ◽  
Almaz Sh. Sadriev ◽  
Ramil Sh. Sadriev ◽  
Lenar R. Sarimov

This paper presents the theoretical and experimental material obtained in the study of the erosion and thermal state of the ring graphite electrode for a plasmatron. Thermal processes in graphite electrodes of plasmatrons are quite complex and multifaceted. A mathematical model of thermal processes that occur at the ring electrodes of plasmatrones has been developed. The mathematical model is based on the differential heat conduction equation for a ring electrode in cylindrical coordinates. With the use of this mathematical model, the inverse problem of heat conduction is solved: determination of the regularities of the heat exchange process by the temperatures of individual points on a solid surface. An experimental study of the temperature distribution at the end of the electrode and along the length of the electrode was carried out. Experiments have shown that the temperature on the side surfaces drops sharply towards the cold end of the electrode. When reducing the length of the electrode, the maximum temperature at the end decreases, and the temperature on the inner and outer edges of the electrode increases slightly. The most significant factors determining the temperature field at the end of the ring electrode are the power and size of the heat source. Comparison of the results of experimental studies and mathematical modeling showed a match with an acceptable degree of accuracy.   


2021 ◽  
Vol 12 (32) ◽  
pp. 127-138
Author(s):  
Igor A. Murog ◽  
Valery F. Gnido ◽  
Elena V. Tinina ◽  
Igor A. Ilchuk ◽  
Tatiana A. Asayeva

The article discusses the issues that arise when determining the temperature in the region of the cathode spot in miniature protective spark gaps. The modeling principle is used to study the temperature field on the spark gap electrode. A mathematical model of the process is compiled on the basis of the balance of power entering the cathode spot and its removal inside the cathode due to thermal conductivity. A numerical solution of the obtained nonlinear heat equation with inhomogeneous boundary conditions by the finite-difference method is presented. The authors compared the found temperatures in the cathode spot for metals of the fourth and fifth groups of the Mendeleev's Periodic Table with the corresponding melting points of the selected metals. A complete correlation was obtained between these temperatures. Simulation of thermal processes in the region of the cathode spot on the electrode made of 42NA-VI alloy has been carried out. The results are presented in the form of diagrams.


Author(s):  
A.I. Sukhinov ◽  
◽  
A.E. Chistyakov ◽  
N.N. Efimov ◽  
V.N. Baltyan ◽  
...  

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