title: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐ¼Ð¾Ð³Ð°Ð·Ð¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ ÑÐ¾ÑÐ¾ÑÐ½Ð¾-Ð»Ð¾Ð¿Ð°ÑÑÐ½Ð¾Ð³Ð¾ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»Ñ Ñ Ð²Ð½ÐµÑÐ½Ð¸Ð¼ Ð¿Ð¾Ð´Ð²Ð¾Ð´Ð¾Ð¼ ÑÐµÐ¿Ð»Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Mathematical modeling of the thermogasodynamics of a rotary-blade engine with external heat supply
Creators: name: ÐÐ¾ÑÐºÐ¸Ð½, ÐÐ°Ð´Ð¸Ð¼
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐÐ²Ð¸Ð³Ð°ÑÐµÐ»Ð¸
Ð¼ÐµÑÐ¾Ð´ ÑÐ¾ÑÑÐµÐ´Ð¾ÑÐ¾ÑÐµÐ½Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð²
method of concentrated parameters

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description: The masters thesis is devoted to the study of the laws of heat and mass transfer occurring in a rotary-blade engine with external heat supply. Two methods were used to analyze the thermogasodynamic processes occurring in the working chambers of the engine. The first approach is based on the method of concentrated parameters, which made it possible to establish the basic laws of the flow of non-stationary processes in the engine and the values of thermodynamic functions in the characteristic, nodal values of its elements. To implement the method of concentrated parameters, a program was compiled for numerical integration of a system of ordinary differential equations, which described the balance ratios of mass and energy in each of the engine components. The second method is based on numerical integration of the Navier-Stokes system of equations in a two-dimensional formulation. All the objects of the problem that were used in the analysis by the method of concentrated parameters were considered in a two-dimensional approximation. As a result of solving the problem, it was necessary to change the position and topology of objects. The ANSYS Fluent 2021 R2 software package was used for this. To account for the effect of turbulence on work processes, a calculation was carried out using a standard k-Îµ model with enhanced wall treatment. To account for the processes in heat exchangers, terms were added to the equation of the balance of the amount of motion and energy using user functions, which made it possible to simulate interaction with branched heat exchange surfaces in a simplified, integral form. A term in the form of a modified Darcys law was added to the momentum balance equation, which made it possible to take into account the influence of hydraulic losses in the heater and cooler. In the energy balance equation, a term proportional to the temperature difference between the limiting surface and the working agent is formed, which simulates a volumetric heat source or drain. The results obtained during the numerical solution of the problem by the method of concentrated parameters and mathematical modeling in a two-dimensional formulation are compared with each other and with the values of functions obtained from the analysis of indicator diagrams. A number of integral characteristics are compared. As a result of the simulation, an idea of the non-stationary processes occurring in the engine is obtained. Within the framework of the model of concentrated parameters, a parametric study of the influence of the properties of the working fluid on the output characteristics of the engine was carried out. The analysis of two-dimensional fields of gas-dynamic functions made it possible to establish details of gas exchange processes between engine elements.