Experimental Investigation into the Exergy Loss of a Ground Heat Pump and its Optimization Based on Approximation of Piecewise Linear Functions

Осинцев, К. В.; Alyukov, S. V.

doi:10.1007/s10891-022-02451-9

Cited by 5 publications

(4 citation statements)

References 12 publications

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“…The developed methods are universal and have found application in various fields of scientific research and practical applications [53,[55][56][57][58][59].…”

Section: (1 + Sin(a(a(a(a(a(a(a(a(a(a(x)))))))))))mentioning

confidence: 99%

Modeling of Rapidly Changing Macroeconomic Processes Based on the Analysis of Jump and Generalized Functions

Aliukov

2023

Mathematics

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In recent years, the economies of many countries around the world have been in a situation of intense, rapidly changing, abrupt processes. The current situation urgently requires a change in the economic paradigm in the near future, which leads to the need to develop new conceptual models. The purpose of the article is to develop basic theoretical principles and practical approaches to modeling macroeconomic processes based on the analysis of jump and generalized functions. The objectives of the study are the following: (1) describe the main types of impulse and jump functions using examples from economic theory and practice; (2) perform an analytical representation of impulse and jump functions; (3) select macroeconomic characteristics to analyze rapidly changing processes in the economy; and (4) create models and mechanisms for forecasting impulsive and abrupt changes in the macroeconomy. The approaches to the development of macroeconomic theory and its methods proposed in the article are not associated with the use of evolutionary continuous functions; for example, power functions, which is typical for many canonical macroeconomic models. These approaches do not include management decisions to achieve optimal values of given target functions, which is typical for recursive macroeconomic models of dynamic programming. This article is about formulating the main provisions of macroeconomic theory and its methods, which, with varying degrees of accuracy, could give a forecast about the upcoming possibility of sudden changes (impulse, shock, spasmodic, and others) in the macroeconomic situation. The research methodology is statistical analysis, special methods developed by the author for studying impulse, and jump processes. As a result of this study, the basic principles of modeling macroeconomic theory based on rapid impulse and abrupt changes were formulated, approaches to constructing the tools of this theory were outlined, and problems and tasks for further research were identified.

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“…The developed methods are universal and have found application in various fields of scientific research and practical applications [53,[55][56][57][58][59].…”

Section: (1 + Sin(a(a(a(a(a(a(a(a(a(a(x)))))))))))mentioning

confidence: 99%

Modeling of Rapidly Changing Macroeconomic Processes Based on the Analysis of Jump and Generalized Functions

Aliukov

2023

Mathematics

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“…The developed methods are universal and have found application in various fields of scientific research and their practical applications [39][40][41][42][43][44].…”

Section: ))))))))))) H X a A A A A A A A A A X =+mentioning

confidence: 99%

Theoretical Foundations of Macroeconomics with Impulse and Jump Characteristics

Aliukov

2023

Preprint

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In recent years, the economies of many countries of the world are in a situation of intense shock processes. The current situation urgently needs to change the economic paradigm in the near future, which objectively requires the development of new conceptual models. The purpose of the paper is to develop the basic theoretical provisions of a new macroeconomics based on impulse and jump processes. Research problems are the following: 1) to describe the main types of impulse and jump functions with examples from economic theory and practice; 2) to perform an analytical representation of impulse and jump functions; 3) to select macroeconomic characteristics for the analysis of rapidly changing processes in the economy; 4) to create models and mechanisms for predicting impulsive and abrupt changes in macroeconomics. The approaches to the development of macroeconomic theory and its methods proposed in the article are not associated with the use of evolutionary continuous functions, for example, power functions, which is typical for many canonical macroeconomic models. These approaches do not include management decisions to achieve optimal values of given target functions, which is typical for recursive macroeconomic models of dynamic programming. This article is about formulating the foundations of macroeconomic theory and its methods, which, with some degree of accuracy, could give a forecast about the impending possibility of abrupt changes (impulse, shock, jump, stepwise and others) in the macroeconomic situation. The research methodology is statistical analysis, special methods for studying impulse and jump processes developed by the author. As a result of the study, the main provisions of the macroeconomic theory based on rapid impulse and spasmodic changes were formulated, approaches were outlined for constructing the tools of this theory, problems and tasks for further research were identified.

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“…To date, there are no universal methods for calculating the heat transfer coefficient or a universal description of the thermophysical picture of boiling in a liquid stream. However, many empirical methods have been created for various refrigerants under conditions of lowpressure values (up to 2-4 atm) and mass flow rates, and special formulas for calculating heat transfer to small channels (with a diameter of 1 mm and above) and to strictly specified pressure values have been derived [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Scientific Approaches to Solving the Problem of Joint Processes of Bubble Boiling of Refrigerant and Its Movement in a Heat Pump Heat Exchanger

Osintsev,

Aliukov,

Kovalev

et al. 2023

Energies

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The joint processes of bubble boiling and refrigerant movement in heat pump tubes are considered. A coil located on the back side of the photovoltaic panel (PVP) is used as an additional heating surface. A mathematical model of the theoretical determination of the temperature on the front surface of the PVP cooled by freon in the coil from the back side has been created. A feature of the numerical simulation of bubble boiling of refrigerant in a coil was the insufficiently detailed study of the process and the lack of references to the results obtained in earlier work. The authors have clarified the boundary conditions and assumptions for numerical simulation of the bubble boiling process of refrigerant R407C. The results were compared with the theoretically found values, and later used in the design of an energy complex consisting of a heat pump and a photovoltaic panel. The mathematical model of theoretical calculation of the PVP temperature and the methodology for constructing a numerical model of bubble boiling of refrigerant as part of the methodology for designing energy technology complexes based on the authors’ plan to present a unified methodology for energy technology complexes for desalination of seawater based on other types of renewable energy sources.

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Experimental Investigation into the Exergy Loss of a Ground Heat Pump and its Optimization Based on Approximation of Piecewise Linear Functions

Cited by 5 publications

References 12 publications

Modeling of Rapidly Changing Macroeconomic Processes Based on the Analysis of Jump and Generalized Functions

Modeling of Rapidly Changing Macroeconomic Processes Based on the Analysis of Jump and Generalized Functions

Theoretical Foundations of Macroeconomics with Impulse and Jump Characteristics

Scientific Approaches to Solving the Problem of Joint Processes of Bubble Boiling of Refrigerant and Its Movement in a Heat Pump Heat Exchanger

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