K.P. Likhoedenko1, V.B. Suchkov2, Yu.V. Karakulin3, A.Yu. Perov4, A.E. Oleynik5

1–5 Bauman Moscow State Technical University (Moscow, Russia)
1 klikhoedenko@bmstu.ru, 2 vbs-2014@bmstu.ru, 3 karakulin@bmstu.ru, 4 perovau@bmstu.ru,
5 oleynikae@student.bmstu.ru

The article considers a method for calculating the signal generated by a heated aircraft (heating occurs when the aircraft moves in the air at high speeds) in an infrared matrix photodetector. A method for mathematical modeling of the temperature portrait of an aircraft was developed, taking into account two models of environmental turbulence. To simulate the temperature distribution over the surface of a high-speed aircraft (without taking into account the jet stream), the k-ε-model was used; when calculating the temperature parameters of the jet stream, the k-ω-model was used.

The method of mathematical modeling of thermophysical processes during the movement of high-speed aircraft is based on the formation of a polygonal model of the object. When solving a system of differential equations that describes the distribution of temperatures over the surface, geometric conditions for uniqueness are specified: the shape and dimensions of the aircraft (for this purpose, a geometric model of the aircraft was created in CAD), physical conditions for uniqueness (properties of the environment and the aircraft) and initial conditions at time t0 . Boundary conditions of the first, second, third and fourth kind were used in the modeling.

To calculate the additive resulting signal in the cells of the matrix photodetector device from the object as a whole, a technique for calculating the signal generated in the photodetector element from one element of the polygonal model was developed. The technique is based on calculating the irradiance of the matrix element, which in turn depends not only on the temperature of the radiation source, but also on the normalized indicatrix of the source radiation and the dependence of the emissivity of the source in the direction of the normal.

As a result of the simulation, an optical image of a high-speed aircraft in the far infrared wavelength range was obtained. When calculating the signal, shading was taken into account, and the image itself is presented for the case when the normalized radiation indicatrix does not depend on the viewing angle and is equal to unity. The developed model is also suitable for a situation where there is a specular component from a source of natural radiation and the normalized indicatrix depends on the viewing angle.

Likhoedenko K.P., Suchkov V.B., Karakulin Yu.V., Perov A.Yu., Oleynik A.E. Mathematical modeling of optical images of high-speed aircraft in the IR range. Science Intensive Technologies. 2024. V. 25. № 1. P. 15−24. DOI: https://doi.org/10.18127/ j19998465-202401-02 (in Russian)

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