Abstract
A mathematical model of the aircraft avionics thermal state describing the heat exchange of the on-board equipment housing with a honeycomb structure made of a carbon fiber composite, the process of heat transfer of the onboard equipment elements and the air is developed. The considered heat transfer process in a heterogeneous medium is described by the boundary value problem for the heat equation with boundary conditions of the third kind. To solve the direct problem of the on-board equipment housing honeycomb structure thermal state, the Monte Carlo method on the basis of the probabilistic representation of the solution in the form of a diffusion process functional expectation is used. The inverse problem of the honeycomb structure heat exchange is solved by minimizing the function of the squared residuals weighted sum using an iterative stochastic quasigradient algorithm. The developed mathematical model of the on-board equipment in the unpressurized compartment thermal state was used for optimizing the temperature and airflow of the thermocontrol system of the blown on-board equipment in the unpressurized compartment of the aircraft.
Published Version
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