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

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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.

About the authors

Ekaterina N. Pavlyuk

Bauman Moscow State Technical University

Email: krygaw4ik@yandex.ru
ORCID iD: 0009-0002-7817-5567
SPIN-code: 2243-7603
Russian Federation, 5/1 2-ya Baumanskaya street, Moscow 105005

Igor V. Tishchenko

Bauman Moscow State Technical University

Author for correspondence.
Email: iv.tischenko@bmstu.ru
ORCID iD: 0000-0001-6094-8723
SPIN-code: 5630-4301

Cand. Sci. (Tech.)

Russian Federation, 5/1 2-ya Baumanskaya street, Moscow 105005

Vitaliy S. Nikolaev

Bauman Moscow State Technical University

Email: nikolaevvs@bmstu.ru
ORCID iD: 0000-0002-5360-9368
SPIN-code: 5847-3632
Russian Federation, 5/1 2-ya Baumanskaya street, Moscow 105005

Anton A. Zharov

Bauman Moscow State Technical University

Email: zharov_a@bmstu.ru
ORCID iD: 0000-0001-9945-0850
SPIN-code: 8581-1809

Cand. Sci. (Tech.)

Russian Federation, 5/1 2-ya Baumanskaya street, Moscow 105005

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Supplementary files

Supplementary Files
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2. Fig 1. Matrix of a plate-fin heat exchanger.

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3. Fig. 2. Schemes of the movement of air flows in the HE: a) double-cross flow diagram of the movement of coolants; b) conventional scheme of alternating layers in one “cell” of the HE.

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4. Fig. 3. Final volume.

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5. Fig. 4. Graph of the temperature of hot and cold flows versus time.

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6. Fig. 5. Temperature fields in the heat exchanger: a) temperature distribution in the cold stream, b) temperature distribution in the wall, and c) temperature distribution in the hot stream.

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