Mathematical modeling of the plate-fin heat exchanger in the aircraft environmental control system

Abstract

Background: Heat exchangers (HE) are an integral part of power plants. Transport versions of HE impose requirements on the quality of their transient modes.

AimS: Development of a mathematical model of a compact HE as part of the environmental control system (ECS) of an aircraft.

Materials and methods: A mathematical model of an HE was developed using the finite volume method. A system of equations was obtained in the form of an implicit differential formulation. The solution was conducted using standard methods built into mathematical packages. This approach was optimal from an engineering point of view and allowed the integration of a model of an HE into the general mathematical model of an aircraft ECS.

Results. A mathematical model of aircraft secondary HE was developed, ready for integration into a full ECS model. The model was verified through static calculation using two methods accepted in the aviation industry.

Conclusions. The presented mathematical model of a compact aircraft HE was balanced in terms of the accuracy of the solution, the complexity of development, and the computing resource demands.

Keywords

heat exchanger / unsteady heat transfer / finite volume method / environmental control system

References

[1] Arharov AM, Arharov IA, Belyakov VP, et al. Cryogenic systems. In 2 volumes. Volume 2: Fundamentals of designing apparatus, installations and systems. Moscow: Mashinostroenie; 1999;2. (In Russ).

[2] Архаров А.М., Архаров И.А., Беляков В.П., и др. Криогенные системы. В 2 т. Т. 2: Основы проектирования аппаратов, установок и систем. Москва: Машиностроение, 1999.

[3] Lavrov NA. Multi-level system for modeling non-stationary and changing operating modes of low-temperature installations. [dissertation]. Moscow; 2013. (In Russ).

[4] Лавров Н.А. Многоуровневая система моделирования нестационарных и меняющихся режимов работы низкотемпературных установок. Дисc. ... д-ра техн. наук. Москва, 2013.

[5] Voronin GI. Air conditioning systems on aircraft. Moscow: Mashinostroenie; 1973. (In Russ).

[6] Воронин Г. И. Системы кондиционирования воздуха на летательных аппаратах. Москва: Машиностроение. 1973.

[7] Ashino R, Nagase M, Vaillancourt R. Behind and beyond the MATLAB ODE suite. Computers & Mathematics with Applications. 2000;40(4, 5):491–512.

[8] Ashino R., Nagase M., Vaillancourt R. Behind and beyond the MATLAB ODE suite // Computers & Mathematics with Applications. 2000. Vol. 40. № 4–5. P. 491–512.

[9] Aleksandrov VYu, Koroleva AP, Kukshinov NV, et al. Mathematical model for calculating the process of non-stationary heating of the walls of a heat exchanger. Vestnik MGTU im. N.E. Baumana. Seriya «Mashinostroenie». 2018;5(122). (In Russ). doi: 10.18698/0236-3941-2018-5-4-14

[10] Александров В.Ю., Королева А.П., Кукшинов Н.В., и др. Математическая модель расчёта процесса нестационарного прогрева стенок теплообменного аппарата // Вестник МГТУ им. Н.Э. Баумана. Серия «Машиностроение». 2018. № 5 (122). doi: 10.18698/0236-3941-2018-5-4-14

[11] Artemov VI, Yankov GG, Karpov VE, Makarov MV. Numerical modeling of heat and mass transfer processes in elements of heat engineering and power equipment. Teploenergetika. 2000;7:52–59. (In Russ).

[12] Артемов В.И., Яньков Г.Г., Карпов В.Е., Макаров М.В. Численное моделирование процессов тепло-и массообмена в элементах теплотехнического и энергетического оборудования // Теплоэнергетика. 2000. № 7. С. 52–59.

[13] Patankar S. Numerical methods for solving heat transfer and fluid dynamics problems. Moscow: Energoatomizdat; 1984. (In Russ).

[14] Патанкар С. Численные методы решения задач теплообмена и динамики жидкости. Москва: Энергоатомиздат, 1984.

[15] London AL, Keis VM. Compact heat exchangers. Moscow: Energiya; 1967. (In Russ).

[16] Лондон А.Л., Кейс В. М. Компактные теплообменники. Москва: Энергия, 1967.

[17] Guiding technical material of aviation engineering RTM 1560-77. Methods of calculation of convective heat transfer at Pr ≈ 1 on plate-fin surfaces of air-to-air heat exchangers. (In Russ).

[18] Руководящий технический материал авиационной техники РТМ 1560-77. Методы расчёта конвективного теплообмена при Pr ≈ 1 на пластинчато-ребристых поверхностях возухо-воздушных теплообменников.

[19] Lavrov NA, Sheremetev SS. Secondary effects in low-temperature heat exchangers. Injenernii jurnal — nauka i innovacii. 2017;4. (In Russ). doi: 10.18698/2308-6033-2017-4-1603

[20] Лавров Н.А., Шереметьев С.С. Вторичные эффекты в низкотемпературных теплообменных аппаратах // Инженерный журнал: наука и инновации. 2017. № 4. doi: 10.18698/2308-6033-2017-4-1603

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