Development of mathematical models and the calculations of elements of convective heat transfer systems




mathematical model, heat transfer system, thermal energy unit, heat carrier, heat exchanger, thermal energy parameters


Despite the considerable number of papers on elaborating the methods of mathematical modeling of thermal power systems, at present little attention is paid to the development of methods of analysis of the influence of different factors on the performance indicators of work of an energy unit. In this article we substantiated principles of selection and mathematical modeling of the simplest elements of heat transfer systems, which clearly reflect the essence of processes in these systems and are convenient in terms of their mathematical modeling. The use of selection and mathematical description of elementary heat exchangers, mixers and dividers of flows may describe a variety of heat transfer system of any energy plants.

These methods allow comparing various modes of operation of the equipment, its design peculiarities and their possible combination significantly faster and economically efficient. A proposed mathematical model of the elements of HTS in the form of a temperature characteristic provides unification of models of all elements, subsystems and HTS as a whole, as well as the clarity and convenience of the description of connections of elements. The calculations of heat transfer systems may be efficiently used for analysis of the work and different types of design and checking calculations of heat transfer convective surfaces. The use of generalized dimensionless parameters makes it possible to perform calculations based on different parameters of the initial information and to improve efficiency of analysis of the work of heat exchangers.

Author Biographies

Yosyf Mysak, Lviv polytechnic National University Bandera str., 12, Lviv, Ukraine, 79013

Doctor of technical sciences, professor, head of the department

Department of Thermal Engineering and Thermal Power Stations

Igor Galyanchuk, Lviv polytechnic National University Bandera str. 12, Lviv, Ukraine, 79013

Senior lecturer

Department of Thermal Engineering and Thermal Power Stations

Marta Kuznetsova, Lviv polytechnic National University Bandera str. 12, Lviv, Ukraine, 79013

PhD, Associate professor

Department of Thermal Engineering and Thermal Power Stations


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How to Cite

Mysak, Y., Galyanchuk, I., & Kuznetsova, M. (2016). Development of mathematical models and the calculations of elements of convective heat transfer systems. Eastern-European Journal of Enterprise Technologies, 4(8(82), 33–41.



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