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Journal articles on the topic 'Mathematical Modeling and Industrial Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 July 2024

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1

Kuz’min, R. N., N. P. Savenkova, and A. Yu Mokin. "Mathematical modeling of industrial aluminum electrolysis." Journal of Mathematical Sciences 172, no. 6 (January 21, 2011): 794–801. http://dx.doi.org/10.1007/s10958-011-0223-z.

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2

Мисник, Богдан Вікторович. "Mathematical operation modeling of industrial enterprises." Technology audit and production reserves 6, no. 3(8) (December 12, 2012): 31–32. http://dx.doi.org/10.15587/2312-8372.2012.5523.

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3

Aziz, Abdullah Nur, Yul Yunazwin Nazaruddin, Parsaulian Siregar, and Yazid Bindar. "Structured Mathematical Modeling of Industrial Boiler." Journal of Engineering and Technological Sciences 46, no. 1 (April 2014): 102–22. http://dx.doi.org/10.5614/j.eng.technol.sci.2014.46.1.7.

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4

Alieva, N. "Economic and Mathematical Modeling of the Innovation Process in the Agro-Industrial Sector." Economic Herald of the Donbas, no. 4 (66) (2021): 29–32. http://dx.doi.org/10.12958/1817-3772-2021-4(66)-29-32.

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Modern scientific research in the field of agriculture is increasingly based on various mathematical calculations. In practice, it is the economic and mathematical models that are of particular importance. These methods and approaches are particularly valuable and widespread in the production environment, but in the modern conditions of production and economic activity, more and more industrial economic entities are faced with the application of mathematical models in order to improve the efficiency of investment resource management.

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5

Emhemed, Abdulrahman A. A., Rosbi Bin Mamat, and Dirman Hanafi. "Mathematical Modeling of Industrial Heat Exchanger System." Applied Mechanics and Materials 229-231 (November 2012): 2122–24. http://dx.doi.org/10.4028/www.scientific.net/amm.229-231.2122.

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In manufacturing and industrial fields used heat exchanger to control of temperature weather as a boiler or cooling system. This system is not stable as the temperature output can easily disturb by noise and other disturbance such as surrounding temperature. To improve the heat exchanger system performance, the mathematical model‘s needed. The heat exchanger mathematical model in this case is constructed using dynamic modelling based on real parameters of the heat exchanger. The simulation result shows almost similar trend of responses with the experiment result, it means they are can used as a model of the heat exchanger.

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6

Ali, M. Montaz, Aderemi O. Adewumi, Nachamada Blamah, and Olabisi Falowo. "Mathematical Modeling and Optimization of Industrial Problems." Journal of Applied Mathematics 2015 (2015): 1–3. http://dx.doi.org/10.1155/2015/438471.

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7

Singh, R. Paul. "Food freezing—Mathematical modeling and industrial applications." Cryobiology 26, no. 6 (December 1989): 565. http://dx.doi.org/10.1016/0011-2240(89)90166-1.

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8

Voronkova, O. Y., А. M. Zadimidcenko, L. V. Goloshchapova, A. G. Polyakova, S. G. Kamolov, and E. M. Akhmetshin. "Economic and Mathematical Modeling of Regional Industrial Processes." EUROPEAN RESEARCH STUDIES JOURNAL XXI, Issue 4 (November 1, 2018): 268–79. http://dx.doi.org/10.35808/ersj/1119.

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9

Dekterev, A. A., A. A. Gavrilov, and A. V. Sentyabov. "Mathematical modeling of swirled flows in industrial applications." Journal of Physics: Conference Series 980 (March 2018): 012035. http://dx.doi.org/10.1088/1742-6596/980/1/012035.

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10

Abroskina, A., and E. Kolpak. "Youth Subculture Mathematical Modeling." Bulletin of Science and Practice, no. 9 (September 15, 2023): 13–21. http://dx.doi.org/10.33619/2414-2948/94/02.

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Youth subcultures are inherent in all times, have a significant impact on the formation of the worldview of youth. Mathematical modeling of the self-organization of such associations allows us to estimate the time interval of their existence, filling with fans and other characteristics. Technical and material support help to form an understanding of the tasks of the future. The paper presents the results of a sociological survey of a large group of young fans of anime culture. Based on the analysis of the author’s statistical data, taking into account statistical data published in open sources, a mathematical model of the youth subculture has been developed, including several areas of close interest. The model is represented by the Cauchy problem for a system of ordinary differential equations. An analysis of the stability of stationary states is given. The conditions imposed on the parameters of the mathematical model that determine the disintegration of the subculture are determined.

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11

Stikhova, Olga. "Mathematical Estimation Methods and Models for Industrial Companies." EPJ Web of Conferences 248 (2021): 03001. http://dx.doi.org/10.1051/epjconf/202124803001.

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The collateralized debt obligations and credit default swaps applications are shown in this paper. The industry obligations secondary market risk estimation methods are considered in this work. The new methods taking into account statistically significant parameters for industrial credit derivatives portfolio are offered for single-name investment risks numerical experiments realization. The mathematical estimation of tranche were shown. The single and multiple name default obligations necessary mathematical modeling methods and formulae for the industrial materials manufacturers derivative credit tools market are shown. It is determined that the portfolio of synthetic debt tools is made of the given parameters. The task of a loss derivative tranches mathematical estimation is solved. Late defaults raise the equity tranches payment required sums with high spreads, early defaults reduce. Also the functional characteristics required for an estimation huge debts problem solving are partly considered in this paper. The problem of the default modeling for market tools and numerical simulation of the obligations influence on conditions of current bistability mode are shown here. Some credit derivatives of industrial manufacturers are demonstrated in the modeling process of default as an example. It is found that the model is an additional factor help us to estimate the default opportunity.

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12

Coletto, Mauricio M., J. Alberto Bandoni, and Aníbal M. Blanco. "Mathematical modeling and simulation of an industrial Desolventizer-Toaster." Journal of Food Engineering 318 (April 2022): 110870. http://dx.doi.org/10.1016/j.jfoodeng.2021.110870.

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13

Kulagina, Tatyana A., and Vladislav A. Popkov. "Mathematical Modeling of Cavitation Processes in Conditioning Industrial Wastewater." Journal of Siberian Federal University. Engineering & Technologies 8, no. 3 (May 2015): 362–68. http://dx.doi.org/10.17516/1999-494x-2015-8-3-362-368.

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14

Dubrovskaya, Olga G., Vladimir A. Kulagin, Ekaterina S. Sapoghnikova, Feng-Chen Li, Qian Li, and Zhi-Ying Zheng. "Mathematical Modeling of Cavitation Processes in Conditioning Industrial Wastewater." Journal of Siberian Federal University. Engineering & Technologies 8, no. 3 (May 2015): 369–76. http://dx.doi.org/10.17516/1999-494x-2015-8-3-369-376.

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15

Linninger, A. A., S. Chowdhry, V. Bahl, H. Krendl, and H. Pinger. "A systems approach to mathematical modeling of industrial processes." Computers & Chemical Engineering 24, no. 2-7 (July 2000): 591–98. http://dx.doi.org/10.1016/s0098-1354(00)00425-7.

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16

Ramírez Argáez, Marco Aurelio, Salvador Lucas Huacúz, and Gerardo Trápaga. "Mathematical Modeling of Pottery Production in Different Industrial Furnaces." Journal of Materials Engineering and Performance 17, no. 5 (October 2008): 633–43. http://dx.doi.org/10.1007/s11665-008-9217-5.

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17

Pospelov, I. G. "Mathematical modeling of an industrial firm in transient economy." Discrete Dynamics in Nature and Society 6, no. 4 (2001): 305–12. http://dx.doi.org/10.1155/s1026022601000346.

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A behavior model of an industrial firm with a possibility of merchandising and purchasing of production on two channels, traditional and commercial, is given. The former is stable, but less profitable due to non-payments. The latter is profitable, but risky. The model describes different modes of firm operation depending on economic parameters. In such a model, firms have incentives to integrate in financial and industrial groups.

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18

Saylor, M. C., and T. M. Jordan. "Application of mathematical modeling technologies to industrial radiation processing." Radiation Physics and Chemistry 57, no. 3-6 (March 2000): 697–700. http://dx.doi.org/10.1016/s0969-806x(99)00460-0.

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19

Vladykin, Ivan R., Ekaterina I. Vladykina, Anastasia A. Litvinyuk, Nadezhda Yu Kasatkina, and Vladimir V. Kasatkin. "Mathematical modeling of the temperature regime in industrial premises." E3S Web of Conferences 390 (2023): 06008. http://dx.doi.org/10.1051/e3sconf/202339006008.

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Comfortable temperature conditions in any room are provided by heating systems, thermal insulation properties of enclosing structures, external environmental conditions. Practical experience, literature analysis show that the existing temperature control systems in industrial premises have disadvantages. Eliminating is possible by using a multi-circuit functional control structure, allowing to reduce the inertia of the temperature control system by taking into account the outdoor temperature, the influence of natural light on the temperature inside the production facility. For its operation, a practically oriented mathematical model is needed, which allows taking into account the influence of a large number of external factors on the temperature regime with minimal delay. A mathematical model has been developed for use as a program in industrial electronics devices for predicting, correcting the temperature field, regulating the temperature regime in the production areas of a room at any point. Based on experimental data, the analysis of the results of the adequacy of the mathematical model shows that the temperature values obtained by the mathematical model of forecasting, correction of the temperature regime fall within the confidence interval and are within the standard deviation. The mechanism of technical implementation is proposed and the prospects of its use are shown.

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20

Golik, V. I., V. S. Morkun, N. V. Morkun, A. V. Pikilnyak, I. A. Gaponenko, and A. A. Gaponenko. "Mathematical modeling of processes of technogenic deposits development." IOP Conference Series: Earth and Environmental Science 1049, no. 1 (June 1, 2022): 012030. http://dx.doi.org/10.1088/1755-1315/1049/1/012030.

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Abstract The article aims to substantiate the tendency to solve the problem of the mineral and raw material base of non-ferrous metals due to the involvement of technogenic origin in substandard metal-containing raw materials. Critical analysis and systematization of new information on the current state of the mineral and raw materials base of non-ferrous metals and the environmental problems of mining associated with it. New data on the recovery and loss of metals in the process of ore dressing are presented. It is shown that the total value of metals in waste is comparable to the value of potential mineral resources in the bowels. The problems of the use of mining waste should be solved in a single package with environmental problems by creating a single technological cycle for the extraction and processing of industrial minerals of industrial waste, the use of which can make the development of industrial deposits economically viable. The practical significance of the work lies in the possibility of using best practices for non-ferrous metallurgy enterprises that are searching for ways to survive in the conditions of the establishment of market relations.

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21

Vedovoto, João M., Ricardo Serfaty, and Aristeu Da Silveira Neto. "Mathematical and Numerical Modeling of Turbulent Flows." Anais da Academia Brasileira de Ciências 87, no. 2 (June 2015): 1195–232. http://dx.doi.org/10.1590/0001-3765201520140510.

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The present work is devoted to the development and implementation of a computational framework to perform numerical simulations of low Mach number turbulent flows over complex geometries. The algorithm under consideration is based on a classical predictor-corrector time integration scheme that employs a projection method for the momentum equations. The domain decomposition strategy is adopted for distributed computing, displaying very satisfactory levels of speed-up and efficiency. The Immersed Boundary Methodology is used to characterize the presence of a complex geometry. Such method demands two separate grids: An Eulerian, where the transport equations are solved with a Finite Volume, second order discretization and a Lagrangian domain, represented by a non-structured shell grid representing the immersed geometry. The in-house code developed was fully verified by the Method of Manufactured Solu- tions, in both Eulerian and Lagrangian domains. The capabilities of the resulting computational framework are illustrated on four distinct cases: a turbulent jet, the Poiseuille flow, as a matter of validation of the implemented Immersed Boundary methodology, the flow over a sphere covering a wide range of Reynolds numbers, and finally, with the intention of demonstrating the applicability of Large Eddy Simulations - LES - in an industrial problem, the turbulent flow inside an industrial fan.

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22

Rudoy, Dmitry, Anastasiya Olshevskaya, Egor Alentsov, Mary Odabashyan, Alexey Prutskov, Tatyana Onoiko, Anna Vershinina, and Maxim Kutyga. "Mathematical modeling in the agro-industrial complex: basic problems and models construction." E3S Web of Conferences 381 (2023): 01082. http://dx.doi.org/10.1051/e3sconf/202338101082.

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Currently, information technologies have been tightly integrated into agriculture. Since no computer calculations are possible without a powerful mathematical apparatus, the question arises about the possibility of modeling the processes occurring in agriculture with the help of modern achievements of science and technology. The present study is devoted to the existing methods of mathematical modeling in agriculture in relation to the applied aspects of agriculture. The aim of the research is to develop a critical approach to modern developments in the field of mathematical modeling and their place in agriculture. It is shown that the introduction of mathematical models based on modern scientific knowledge contributes to the optimization of agricultural processes and increasing the efficiency of any farm. Based on statistical studies, it is shown that among all branches of agriculture, mathematical methods are most often used in economic calculations, least of all, in calculations related to farm modeling. This is explained both by the complexity of modeling all processes occurring within a single farm, and by the loss of accuracy, which increases with the complexity of the system model.

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23

Azab, A., and H. A. ElMaraghy. "Mathematical Modeling for Reconfigurable Process Planning." CIRP Annals 56, no. 1 (2007): 467–72. http://dx.doi.org/10.1016/j.cirp.2007.05.112.

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24

Xu, Aiping, and Ji Wang. "Experience sharing: Mathematical Contest in Modelling (MCM)." MSOR Connections 15, no. 3 (April 30, 2017): 67. http://dx.doi.org/10.21100/msor.v15i3.428.

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In January 2016, Coventry University’s sigma Mathematics Support Centre (MSC) funded three students for MCM, a multi-day mathematics competition held annually in the USA. This is organised by the Consortium for Mathematics and Its Applications (COMAP) and sponsored by the Mathematical Association of America (MAA), the Society of Industrial and Applied Mathematics (SIAM) and the Institute for Operations Research and the Management Sciences (INFORMS). In this article the team leader and advisor reflect on their experience.

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25

Fechete, Flavia, and Anișor Nedelcu. "Modeling the Economic Performance of Industrial Systems Using Mathematical Programming." Applied Mechanics and Materials 809-810 (November 2015): 1553–58. http://dx.doi.org/10.4028/www.scientific.net/amm.809-810.1553.

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Mathematical programming models and especially their subclass - linear programming models - plays an extremely important role, both in theory and in economic practice. Linear programming, through its results, brought a considerable contribution to improving management methods in economics and it has boosted theoretical research in modeling complex economic systems, study and interpretation of laws and economic processes. Developing and designing a model for achieving the economic performance of the industrial system allows managers making optimal decision and ensures the improvement of their activity. This paper aim is to determine an optimal manufacturing program for an industrial system, so that, by its implementation, to achieve economic performance. The manufacturing program conducted using a computer software will allow this entity to optimize their management decision process by providing information related to physical production that must be executed on each of their the products, or about the unused or overloaded capacity, in order to maximize their profits.

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26

Dorochenko, Aleksandr I., and Maksim S. Levakin. "ABOUT MATHEMATICAL MODELING OF ELECTRICAL SYSTEMS SPECIFIC INDUSTRIAL ENERGY CONSUMERS." ELECTRICAL AND COMPUTER SYSTEMS 22, no. 98 (May 25, 2016): 170–74. http://dx.doi.org/10.15276/eltecs.22.98.2016.30.

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27

Liang, Enzhi, Song Zhang, Bin Liu, Bujin Qi, Yanpei Nie, and Zhihong Yuan. "Mathematical Modeling for the Industrial 2-Mercaptobenzothiazole Batch Production Process." ACS Omega 7, no. 8 (February 21, 2022): 6963–77. http://dx.doi.org/10.1021/acsomega.1c06646.

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28

Zalozhnev, Alexey Yu, and Denis V. Peremezhko. "Industrial Insurance Groups Cost Management. Mathematical Modeling and Applied Software." IFAC-PapersOnLine 54, no. 13 (2021): 280–82. http://dx.doi.org/10.1016/j.ifacol.2021.10.459.

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29

Vazhentseva N.V., N. V., and S. M. Zerkal. "MATHEMATICAL MODELING IN INDUSTRIAL TOMOGRAPHIC DIAGNOSIS WITH INCOMPLETE PROJECTION DATA." Izvestiya Visshikh Uchebnykh Zavedenii. Chernaya Metallurgiya = Izvestiya. Ferrous Metallurgy 56, no. 10 (March 28, 2015): 43. http://dx.doi.org/10.17073/0368-0797-2013-10-43-46.

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30

Medyanik, N. L., I. Yu Shevelin, and S. N. Kakushkin. "Mathematical Modeling of Mineralized Industrial Wastewater Treatment by Pressure Flotation." Journal of Mining Science 54, no. 2 (March 2018): 292–99. http://dx.doi.org/10.1134/s1062739118023653.

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31

Takei, M., R. Weber, and T. Niioka. "Mathematical modeling of industrial furnaces considering detailed oil spray characteristics." Combustion Science and Technology 175, no. 7 (July 2003): 1237–62. http://dx.doi.org/10.1080/00102200302379.

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32

Trindade, Anna Karla Barros da, Francisco de Paula Santos de Araújo Júnior, and Gilvane Barros de Lima. "A modelagem matemática como estratégia de melhoramento no ensino-aprendizagem." Somma: Revista Cientifica do Instituto Federal de Educação Ciência e Tecnologia do Piauí 4, no. 1 (June 30, 2018): 80–89. http://dx.doi.org/10.51361/somma.v4i1.115.

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This article aims to analyze how mathematical modeling can be used as a strategy to improve teaching and learning. Therefore, it was necessary to use a methodology based on bibliographic research and a qualitative approach through the analysis of books, articles, and publications in order to collect the necessary data for this research. Through this study, it could be observed that mathematical modeling is a dynamic and important process in mathematics teaching, as it brings a new vision of how to work with mathematical models, bringing the reality experienced by students through problems; it was also noted that when working mathematics through modeling, one should look for examples of the student's reality so that he understands more easily, as a concrete meaning is created for him; it was understood that mathematical modeling becomes important within the mathematical study, as it facilitates the visualization of a real problem situation through a mathematical language, which is seen in a creative and simplified way; it was noticed that the mathematical modeling of infectious diseases is an important tool, as it provides information for the understanding of diseases, helps in choosing the most appropriate control strategies for each situation, aiming at satisfactory results.

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33

Mokhov, V. G., and G. S. Chebotareva. "Mathematical Modelling of Industrial Equipment Operation Based on Markov Processes." Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 14, no. 2 (2021): 94–99. http://dx.doi.org/10.14529/mmp210210.

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34

Mark, Arul Prasanna, Rajasekaran Vairamani, and Gerald Christopher Raj Irudayaraj. "Mathematical Modeling and Analysis of Different Vector Controlled CSI Fed 3-Phase Induction Motor Drive." Journal of Applied Mathematics 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/623982.

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The main objective of this paper is to build a simple mathematical competent model that describes the circuits and interconnections of a 3-phase squirrel cage induction motor used for industrial applications. This paper presents the detailed analysis of theoretical concepts used in mathematical modeling, simulation’ and hardware implementation. The objective of this work is to compare the dynamic performances of the vector control methods for CSI fed IM drives. Based on the results, dynamic performances of the proposed drives are individually analysed using the sensitivity tests. The tests that are chosen for the comparison are step changes in the reference speed and torque of the motor drive. Here the IM is mathematically modeled in different reference frames for input output linearization (IOL) control, field oriented control (FOC), and direct torque control method (DTC) which are designed using hardware equivalent mathematical equations. The most important contributions in this paper are mathematical simulation structure of IM model in rotor flux frame using current and speed that were developed and implemented in MATLAB-Simulink. The operation and performance of the different vector control methods are verified by simulation using MATLAB/SIMULINK and experimental results.

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35

Bulgakova, S., N. Romanchuk, and E. Treneva. "Mathematical Modeling of the Endocrine System." Bulletin of Science and Practice 8, no. 3 (March 15, 2022): 132–56. http://dx.doi.org/10.33619/2414-2948/76/16.

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Hormones, having their own unique rhythms of secretion, have a systemic effect on all organs and systems of the human body. Combined mathematical modeling and experimental approaches have shown that these rhythms are the result of regulatory processes occurring at many levels of the body and require constant dynamic balancing, especially in response to stimuli. In a review of the literature, we have shown how such a hybrid approach has been successfully applied to unravel the complex mechanisms of regulation of carbohydrate metabolism (metabolic axis), hypothalamic-pituitary-adrenal and hypothalamic-pituitary-gonadal axes. In addition, the prospects for further development of this direction are shown.

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36

Korinchuk, D. M. "Mathematical modeling of moisture removal from granules." Кераміка: наука і життя, no. 4(49) (January 23, 2021): 13–16. http://dx.doi.org/10.26909/csl.4.2020.2.

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With modern world trends in the growth of consumption of products of various industries and the environmental situation, the problem of rational use of energy and raw materials in industrial production in order to obtain the maximum amount of finished product of a given quality. An important step in solving this problem is to create an adequate mathematical model of the process. A simplified model of the process of dehydration of the aqueous solution film on the surface of a single granule in the production of multilayer composites in a granulator dryer has been developed. Simulation of pellet dehydration includes analysis of heat distribution in a spherical material and in a film of liquid (heat exchange) covering the sphere, and the process of evaporation of the mixture film (mass transfer), which take place simultaneously. The results can be applied at the stages of design and testing of the granulator.

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37

Devadoss, D. E., J. A. Pojman, and V. A. Volpert. "Mathematical modeling of thiol-ene frontal polymerization." Chemical Engineering Science 61, no. 4 (February 2006): 1261–75. http://dx.doi.org/10.1016/j.ces.2005.08.034.

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38

Lokhman, Natalia, Tatiana Beridze, Zoya Baranik, Alla Cherep, Iryna Dashko, and Oxana Hamova. "ECONOMIC AND MATHEMATICAL MODELING OF THE FUNCTIONING OF AN INDUSTRIAL ENTERPRISE." Financial and credit activity problems of theory and practice 2, no. 43 (April 29, 2022): 182–91. http://dx.doi.org/10.55643/fcaptp.2.43.2022.3642.

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The purpose of the article is to model the activities of an industrial enterprise as an independent economic unit in order to increase the profit of the enterprise in terms of economic efficiency.Method. In the course of the research the methodology of economic-mathematical modeling was applied. The enterprise is considered as a complex system — a sublimated enterprise, an economic object. The use of simulation methods on specific statistical material of the industrial enterprise «PivdGOK» is given. The application of the methods of digital economy allowed to obtain the relevant indicators of the enterprise and to obtain appropriate visual and graphical representations of the results.Results. The economic and mathematical model of the industrial enterprise of PJSC «PivdGOK» is constructed, it allowed to generalize results of activity of the industrial enterprise. Analytical relations concerning the activity of an industrial enterprise are obtained, namely a systematic study of the relationship between costs, volume of activity and profit of the enterprise.Scientific novelty. For the first time the economic-mathematical model of activity of the industrial enterprise in the sense of definition of its effective functioning as economic unit is constructed. Obtained in the implicit form of the dependence of profit at a given economic efficiency allowed us to investigate this relationship in order to build a simulation model.Practical significance. The use of Mathcad software allowed to building a simulation model of the industrial enterprise. An analytical expression of the connection between economic efficiency and profit is obtained, which allows to carry out a corresponding analysis of the activity of an industrial enterprise. It is shown under what conditions it is possible to achieve the greatest profit at a given economic efficiency. The use of digital modeling allowed to numerically obtain the optimal values of profit and graphically display the results. Graphical representation of the obtained results allows for visual analysis.

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39

Агапов, А. А., Ю. М. Крылов, and В. Л. Бурковский. "Mathematical modeling and software optimization of electric machines of industrial complexes." МОДЕЛИРОВАНИЕ, ОПТИМИЗАЦИЯ И ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ 9, no. 1(32) (January 31, 2021): 11–12. http://dx.doi.org/10.26102/2310-6018/2021.32.1.011.

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Исследование новых типов электрических машин с улучшенными электромеханическими характеристиками требует проведения огромного количества вычислений, при этом анализ оптимального соотношения тех или иных параметров является многокритериальной задачей, не всегда имеющей единственно верное решение, удовлетворяющее всем поставленным задачам. Сравнительно недавнее появление и применение в исполнительных механизмах новых типов электрических машин малых габаритов на основе обмоток со сложной геометрией активной части исключает возможность классического плоскостного моделирования, однако трехмерное моделирование требует значительных вычислительных и временных ресурсов. В связи с этим данное исследование посвящено анализу возможности применения дискретного моделирования сложных объектов с возможностью оптимизации свойств исследуемого объекта. В ходе исследования был проведен анализ конструктивного исполнения объекта моделирования с последующим формированием массива дискретных моделей. Формирование подобного типа моделирования было обосновано, исходя из условия отсутствия резких структурных и конструктивных изменений исследуемого объекта. Моделирование проводилось в среде ANSYS путем формирования скрипт-файла на языке APDL. Результаты исследования демонстрируют возможность проведения такого рода моделирования применительно к бесконтактным двигателям постоянного тока с ромбовидной обмоткой с возможностью оптимизации по определенному критерию. Хотя представленная модель имеет ряд допущений и пока полностью не способна заменить трехмерное моделирование, материалы статьи представляют практическую ценность для разработчиков программного обеспечения, направленного на анализ физического состояния электрических машин. The study of new types of electric machines with improved electromechanical characteristics requires an enormous amount of calculations. By contrast, the analysis of the optimal ratio of selected parameters is a multi-criteria task, which does not always have the only correct solution that satisfies all the tasks set. The relatively recent appearance and application in actuators of new types of small-sized electric machines based on windings with the complex geometry of the active part exclude the possibility of classical planar modeling. Alongside, three-dimensional modeling requires significant computational and time resources. In this regard, this study is devoted to the analysis of the possibility of using discrete modeling of complex objects with the possibility of optimizing the properties of the object under study. During the study, an analysis of the structural design of the modeling object was carried out, followed by the formation of an array of discrete models. The formation of this type of modeling was justified based on the condition of the absence of sharp structural and structural changes in the object under study. The simulation was performed in the ANSYS environment by generating a script file in the APDL language. Study results demonstrate the possibility of carrying out this kind of modeling relating to the rhomboid brushless direct current motor with the possibility of optimization according to a certain criterion. Although the presented model has several assumptions and is not yet fully capable of replacing three-dimensional modeling, the article materials are of practical value for software developers aimed at analyzing the physical state of electrical machines.

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Singh, Mritunjay Kumar, Vijay P. Singh, and Pintu Das. "Mathematical modeling for solute transport in aquifer." Journal of Hydroinformatics 18, no. 3 (October 29, 2015): 481–99. http://dx.doi.org/10.2166/hydro.2015.034.

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Groundwater pollution may occur due to human activities, industrial effluents, cemeteries, mine spoils, etc. This paper deals with one-dimensional mathematical modeling of solute transport in finite aquifers. The governing equation for solute transport by unsteady groundwater flow is solved analytically by the Laplace transform technique. Initially, the aquifer is subjected to the spatially dependent source concentration with zero-order production. One end of the aquifer receives the source concentration and is represented by a mixed-type boundary condition in the splitting time domain. The concentration gradient at the other end of the porous media is assumed to be zero. The temporally dependent velocity and the dispersion coefficients are considered. A numerical solution is obtained by using an explicit finite difference scheme and compared with the analytical result. Accuracy of the solution is discussed by using the root mean square error method. Truncation error is also explored for the parameters like numerical dispersion and velocity terms. The impact of Peclet number is examined. For graphical interpretation, unsteady velocity expressions (i.e., such as exponential, sinusoidal, asymptotic, and algebraic sigmoid) are considered. The work may be used as a preliminary predictive tool for groundwater resource and management.

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Ferreira, A. S., and G. Massarani. "Physico-mathematical modeling of crossflow filtration." Chemical Engineering Journal 111, no. 2-3 (August 2005): 199–204. http://dx.doi.org/10.1016/j.cej.2005.02.002.

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Слесаренко, Анатолий Павлович, and Александр Васильевич Несторенко. "Mathematical modeling of logistic systems of industrial enterprises with discount accounting." Technology audit and production reserves 6, no. 3(20) (December 22, 2014): 32. http://dx.doi.org/10.15587/2312-8372.2014.33786.

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Ponomareva, S. V., and I. V. Zheleznova. "Intrafirm planning and mathematical modeling of owner's equity in industrial enterprises." Journal of Physics: Conference Series 1015 (May 2018): 032106. http://dx.doi.org/10.1088/1742-6596/1015/3/032106.

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Connaghan, J. P., M. C. Saylor, G. W. Calvert, S. C. Yeadon, C. H. Pyne, P. Mellor, and D. S. Patil. "Mathematical modeling of industrial radiation processes application and end-user training." Radiation Physics and Chemistry 71, no. 1-2 (September 2004): 335–38. http://dx.doi.org/10.1016/j.radphyschem.2004.04.011.

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Xu, Xi-Jun, Chuan Chen, Ai-Jie Wang, Bing-Jie Ni, Wan-Qian Guo, Ye Yuan, Cong Huang, et al. "Mathematical modeling of simultaneous carbon-nitrogen-sulfur removal from industrial wastewater." Journal of Hazardous Materials 321 (January 2017): 371–81. http://dx.doi.org/10.1016/j.jhazmat.2016.08.074.

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Jawad, Nizar, and Tariq M. Naife. "Mathematical Modeling and Kinetics of Removing Metal Ions from Industrial Wastewater." Iraqi Journal of Chemical and Petroleum Engineering 23, no. 4 (December 30, 2022): 59–69. http://dx.doi.org/10.31699/ijcpe.2022.4.8.

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The study's objective is to produce Nano Graphene Oxide (GO) before using it for batch adsorption to remove heavy metals (Cadmium Cd+2, Nickel Ni+2, and Vanadium V+5) ions from industrial wastewater. The temperature effect (20-50) °C and initial concentration effect (100-800) mg L-1 on the adsorption process were studied. A simulation aqueous solution of the ions was used to identify the adsorption isotherms, and after the experimental data was collected, the sorption process was studied kinetically and thermodynamically. The Langmuir, Freundlich, and Temkin isotherm models were used to fit the data. The results showed that Cd, Ni, and V ions on the GO adsorbing surface matched the Langmuir model with correlation coefficients (R2) of 0.999. Kinetic models studied showed that a pseudo-second-order model was followed and thermodynamically, the process was exothermic due to ∆H negative, the reduction in randomness because of negative ∆S. additionally, spontaneous adsorption of metal ions was ∆G negative values influenced.

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Helesh, Andriy, and Victor Yavorskiy. "MATHEMATICAL MODELING OF THE SULFURIC ACID DROPS EVAPORATION." EUREKA: Physics and Engineering 1 (January 29, 2016): 67–73. http://dx.doi.org/10.21303/2461-4262.2016.00028.

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The evaporation process of sulfuric acid solution has been analyzed in the hollow apparatus of column type under direct contact between acid drops and hot gas. On the basis of the mathematical model the main parameters have been calculated: evaporation time, distance passed by a drop and its evaporation temperature. The mathematic dependencies of evaporation time of water and sulfuric acid drops on their initial diameters and air temperature have been developed. The drop diameter of ≤ 0.5∙10-3 m was found to be necessary to carry out the evaporation with the rate sufficient for the industrial columns. The obtained results are proposed to be used to determine the effect of intensifying parameters on the evaporation process of sulfuric acid waste solutions and development of their recycling technology.

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Aliyeva, Nailya Rauf kyzy. "Economic and Mathematical Modeling of the Innovation Process in the Agro-Industrial Sector." Economic Herald of the Donbas, no. 2 (64) (2021): 118–22. http://dx.doi.org/10.12958/1817-3772-2021-2(64)-118-122.

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Modern scientific research in the agro-industrial sphere is increasingly based on various mathematical calculations. In practice, it is economic and mathematical models that are of particular importance. These methods and approaches have gained particular value and distribution in the production environment, but in modern conditions of production and economic activity, more and more sectoral economic entities are faced with the application of mathematical models in order to improve the efficiency of investment resource management.

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Valdiero, Antonio Carlos, Carla Silvane Ritter, Cláudio Fernando Rios, and Marat Rafikov. "Nonlinear Mathematical Modeling in Pneumatic Servo Position Applications." Mathematical Problems in Engineering 2011 (2011): 1–16. http://dx.doi.org/10.1155/2011/472903.

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This paper addresses a new methodology for servo pneumatic actuators mathematical modeling and selection from the dynamic behavior study in engineering applications. The pneumatic actuator is very common in industrial application because it has the following advantages: its maintenance is easy and simple, with relatively low cost, self-cooling properties, good power density (power/dimension rate), fast acting with high accelerations, and installation flexibility. The proposed fifth-order nonlinear mathematical model represents the main characteristics of this nonlinear dynamic system, as servo valve dead zone, air flow-pressure relationship through valve orifice, air compressibility, and friction effects between contact surfaces in actuator seals. Simulation results show the dynamic performance for different pneumatic cylinders in order to see which features contribute to a better behavior of the system. The knowledge of this behavior allows an appropriate choice of pneumatic actuator, mainly contributing to the success of their precise control in several applications.

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Teirumnieks, Edmunds, Ērika Teirumnieka, Ilmārs Kangro, and Harijs Kalis. "THE MATHEMATICAL MODELING OF METALS CONTENT IN PEAT." Environment. Technology. Resources. Proceedings of the International Scientific and Practical Conference 1 (August 3, 2015): 249. http://dx.doi.org/10.17770/etr2009vol1.1119.

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Metals deposition in peat can aid to evaluate impact of atmospheric or wastewaters pollution and thus can be a good indicator of recent and historical changes in the pollution loading. For peat using in agriculture, industrial, heat production etc. knowledge of peat metals content is important. Experimental determination of metals in peat is very long and expensive work. Using experimental data the mathematical model for calculation of concentrations of metals in different points for different layers is developed. The values of the metals (Ca, Mg, Fe, Sr, Cu, Zn, Mn, Pb, Cr, Ni, Se, Co, Cd, V, Mo) concentrations in different layers in peat taken from Knavu peat bog from four sites are determined using inductively coupled plasma optical emission spectrometer. Mathematical model for calculation of concentrations of metal has been described in the paper. As an example, mathematical models for calculation of Pb concentrations have been analyzed.

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