MATHEMATICAL MODEL OF UNSTEADY HEAT TRANSFER OF PASSENGER CAR WITH HEATING SYSTEM

E. V. Biloshytskyi

Abstract


Purpose. The existing mathematical models of unsteady heat processes in a passenger car do not fully reflect the thermal processes, occurring in the car wits a heating system. In addition, unsteady heat processes are often studied in steady regime, when the heat fluxes and the parameters of the thermal circuit are constant and do not depend on time. In connection with the emergence of more effective technical solutions to the life support system there is a need for creating a new mathematical apparatus, which would allow taking into account these features and their influence on the course of unsteady heat processes throughout the travel time. The purpose of this work is to create a mathematical model of the heat regime of a passenger car with a heating system that takes into account the unsteady heat processes. Methodology. To achieve this task the author composed a system of differential equations, describing unsteady heat processes during the heating of a passenger car. For the solution of the composed system of equations, the author used the method of elementary balances. Findings. The paper presents the developed numerical algorithm and computer program for simulation of transitional heat processes in a locomotive traction passenger car, which allows taking into account the various constructive solutions of the life support system of passenger cars and to simulate unsteady heat processes at any stage of the trip. Originality. For the first time the author developed a mathematical model of heat processes in a car with a heating system, that unlike existing models, allows to investigate the unsteady heat engineering performance in the cabin of the car under different operating conditions and compare the work of various life support systems from the point of view their constructive solutions. Practical value. The work presented the developed mathematical model of the unsteady heat regime of the passenger car with a heating system to estimate the efficiency of unsteady, transitional temperature states in passenger cars, taking into account the design features of the heating system and the regulatory requirements. This allows the development and implementation of optimal technical characteristics of heating appliances and the construction of an algorithm for controlling their operation in accordance with operating conditions, taking into account the thermal inertia of the car in the transitional modes of heating, on the basis of mathematical modeling.


Keywords


mathematical modelling; passenger car; unsteady heat processes; heating system

References


Belymenko, S. S., & Ishchenko, V. O. (2014). Development of criteria of charge and discharge efficiency of solid state of heat accumulator. Science and Transport Progress, 5(53), 7-16. doi: 10.15802/stp2014/29945. (in Russian)

Yemelyanov, A. L., Buravoy, S. Y., & Platunov, Y. S. (2007). Obobshchennaya matematicheskaya model nestatsionarnogo teplovogo rezhima passazhirskogo vagona s SKV. Scientific journal of NRU ITMO. Series: Refrigeration and Air Conditioning, 1. Retrieved from : http://refrigeration.ihbt.ifmo.ru/file/article/7695.pdf. (in Russian)

Yemelyanov, A. L. (2016). Energoeffektivnye transportnye sistemy konditsionirovaniya vozdukha. (Diser-tatsiya doktora tekhnicheskikh nauk). Saint Petersburg National Research University of Information Tech-nologies, Mechanics and Optics, St. Petersburg. (in Russian)

Zharikov, V. A. (2006). Klimaticheskiye sistemy passazhirskikh vagonov. Moscow: Transinfo. (in Russian)

Zharikov, V. A., Kitaev, B. N., & Razarenova, L. V. (1994). Metodika opredeleniya raskhoda energii na otoplenie passazhirskikh vagonov. Moscow: Transport. (in Russian)

Kitaev, B. N., & Zharikov, V. A. (1995). Povysheniye effektivnosti teploobmennykh protsessov ekspluatatsii vagonov v passazhirskikh vagonakh. Moscow: Transport. (in Russian)

Kitaev, B. N. (1984). Teploobmennye protsessy pri ekspluatatsii vagonov. Moscow: Transport. (in Russian)

Makhanko, M. G., Sidorov, Y. P., Khenach, A. K., & Shmidt, M. (1981). Konditsionirovanie vozdukha v passazhirskikh vagonakh i na lokomotivakh. Moscow: Transport. (in Russian)

Pugovkin, A. V., Antonova, A. Y., Zarechnaya, I. A., Matylitskaya, Y. S., Muslimova, N. I., & Nepomnyashchikh, Y. V. (2009). Modelirovanie monopolnykh uslug. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki, 2(20), 80-86. (in Russian)

Sidorov, Y. P. (1978). Osnovy konditsionirovaniya vozdukha na predpriyatiyakh zheleznodorozhnogo transporta i v podvizhnom sostave. Moscow: Transport. (in Russian)

Kuzmin, L. D. (Ed). (1978). Sistemy ventilyatsii i ustanovki konditsionirovaniya vozdukha. Vagony. Moscow: Mashinostroenie. (in Russian)

Faershteyn, Y. O., & Kitaev, B. N. Konditsionirovanie vozdukha v passazhirskikh vagonakh. Moscow: Tranport. (in Russian)

Khomenko, І. Y. (2014). Udoskonalennia systemy enerhetychnoho ta kholodylnoho obladnannia pasazhyrskykh vahoniv pry kapitalnykh remontakh. (Dysertatsiia kandydata tekhnichnykh nauk). Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan, Dnipro. (in Ukranian)

Vetterli, N., Menti, U.-P., Sidler, F., Thaler, E., & Zweife, G. (2015). Energy efficiency of railway vehicles. In Proceedings of the International Scientific Conference CISBAT 2015, September 9-11, 2015, Lausanne. 955-960. (in English)

Khomenko, I. Y. (2013). Mathematical modeling of unsteady heat exchange in a passenger car. Science and Transport Progress, 6(48), 147-155. doi: 10.15802/stp2013/19762. (in English)

Kim, J. H., & Rho, J. H. (2017). Design optimization for overhead ventilation duct system for a train using computational fluid dynamics and design of experiment. Proceedings of the institution of mechanical engineers part e-journal of process mechanical engineering, 231(5), 914-929. doi: 10.1177/0954408916646403. (in English)

Sweeney, E., & Brunton, J. (2013) Modification of Luas heating and ventilation systems to reduce energy consumption. In Irish Transport Research Network Conference: Conf. paper (5-6th Sept.). Dublin: Dublin Institute of Technoogy. Retrieved from http://arrow.dit.ie/engschmeccon/. (in English)


GOST Style Citations


  1. Белименко, С. С. Разработка критериев эффективности заряда и разряда твердотельного теплового аккумулятора / С. С. Белименко, В. А. Ищенко // Наука та прогрес транспорту. – 2014. – № 5 (53). – С. 7–16. doi: 10.15802/stp2014/29945.
  2. Емельянов, А. Л. Обобщенная математическая модель нестационарного теплового режима пассажирского вагона с СКВ [Electronic resource] / А. Л. Емельянов, С. Е. Буравой, Е. С. Платунов // Науч. журнал НИУ ИТМО. Серия: «Холодильная техника и кондиционирование». – 2007. – № 1. – Available at: http://refrigeration.ihbt.ifmo.ru/file/article/7695.pdf. – Title from the screen. – Accessed : 03.01.2018.
  3. Емельянов, А. Л. Энергоэффективные транспортные системы кондиционирования воздуха : дис. … д-ра техн. наук : 05.04.03 / Емельянов Анатолий Леонович ; Санкт-Петербург. нац. исслед. ун-т информ. технологий механики и оптики. – Санкт-Петербург, 2016. – 384 с.
  4. Жариков, В. А. Климатические системы пассажирских вагонов / В. А. Жариков. – Москва : Трансинфо, 2006. – 135 с.
  5. Жариков, В. А. Методика определения расхода энергии на отопление пассажирских вагонов / В. А. Жариков, Б. Н. Китаев, Л. В. Разаренова. – Москва : Транспорт, 1994. – 23 с.
  6. Китаев, Б. Н. Повышение эффективности теплообменных процессов в пассажирских вагонах / Б. Н. Китаев, В. А. Жариков. – Москва : Транспорт, 1995. – 53 с.
  7. Китаев, Б. Н. Теплообменные процессы при эксплуатации вагонов / Б. Н. Китаев. – Москва : Транспорт, 1984. – 184 с.
  8. Кондиционирование воздуха в пассажирских вагонах и на локомотивах / М. Г. Маханько, Ю. П. Сидоров [и др.]. – Москва : Транспорт, 1981. – 254 с.
  9. Моделирование монопольных услуг / А. В. Пуговкин, А. Ю. Антонова, И. А. Заречная [и др.] // Докл. Томс. гос. ун-та систем управления и радиоэлектроники. – 2009. – № 2 (20). – С. 80–86.
  10. Сидоров, Ю. П. Основы кондиционирования воздуха на предприятиях железнодорожного транспорта и в подвижном составе / Ю. П. Сидоров. – Москва : Транспорт, 1978. – 199 с.
  11. Системы вентиляции и установки кондиционирования воздуха. Вагоны / под ред. Л. Д. Кузьмина. – Москва : Машиностроение, 1978. – 376 с.
  12. Фаерштейн, Ю. О. Кондиционирование воздуха в пассажирских вагонах / Ю. О. Фаерштейн, Б. Н. Китаев. – Москва : Транспорт, 1984. – 272 с.
  13. Хоменко, І. Ю. Удосконалення системи енергетичного та холодильного обладнання пасажирських вагонів при капітальних ремонтах : дис. … канд. техн. наук : 05.22.07 / Хоменко Ірина Юріївна ; Дніпропетр. нац. ун-т залізн. трансп. ім. акад. В. Лазаряна. – Дніпропетровськ, 2014. – 125 с.
  14. Energy efficiency of railway vehicles / N. Vetterli, U.-P. Menti, F. Sidler, E. Thaler, G. Zweife // CISBAT 2015 : Intern. Sci. Conf. (9.09–11.09.2015). – Lausanne, Switzerland, 2015. – Р. 955–960.
  15. Khomenko,I.Yu. Mathematical modeling of unsteady heat exchange in a passenger car / І. Yu. Khomenko // Наука та прогрес транспорту. – 2013. – № 6 (48). – С. 147–155. doi: 10.15802/stp/2013/19762.
  16. Kim, J. H. Design optimization for overhead ventilation duct system for a train using computational fluid dynamics and design of experiment / J. H. Kim, J. H. Rho // Proceedings of the Institution of Mechanical Engineers. Part E: Journal of Process Mechanical Engineering. – 2017. – Vol. 231. – Iss. 5. – P. 914–929. doi: 10.1177/0954408916646403.
  17. Sweeney, E. Modification of Luas heating and ventilation systems to reduce energy consumption [Electronic resource] / E. Sweeney, J. Brunton // Irish Transport Research Network Conference : Conf. paper (5–6th Sept.) / Dublin Institute of Technology. –Dublin,Ireland, 2013. – Available at: http://arrow.dit.ie/engschmeccon/. – Title from the screen. – Accessed : 03.01.2018.


DOI: https://doi.org/10.15802/stp2018/123409

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