Побудовано нелінійну модель процесу теплообміну в плоскій пластині, з поверхні якої в навколишнє середовище розсіюється теплова енергія за рахунок випаровування рідини і конвекції. Нелінійну модель зведено до лінійної. Отримано аналітичний розв’язок лінійної модельної задачі. Здійснено порівняння кількості відведеного тепла за рахунок випаровування та конвекції.
A mathematical model of heat exchange analysis between an isotropic two-layer plate heated ba point heat source concentrated on the conjugation surfaces of layers and the environment has been developed.
The mathematical model of the air conditioning system has been developed. It is based on the analysis of thermoeconomic energy efficiency indicators and it is solved in a complex way: by defining the optimal parameters taking into account the non-stationary heat of the tides and by determining the optimal device for optimizing the operating modes of the refrigeration system. When designing an air-conditioning system, a thermoeconomic analysis was made for an object being created.
Separate mathematical models for determining the temperature distribution in the elements of turbogenerators have been developed, which are described geometrically by an isotropic half-space and a heat-sensitive space with locally concentrated sources of heating. For this purpose, using the theory of generalized functions in a convenient form, we write the initial differential equations of thermal conductivity with boundary conditions.
The choice of ways of obtaining information about the temperature of the surface layers of a moving object is the crucial in determining the type of temperature transducers. This choice depends on the row of specific factors: the speed of movement of the measured object relative the object, the state of the surface, the presence of related agents in near-surface layers, the presence of disturbing factors - noise, vibration, etc. The major factor seems to be the value of the heat carried out from the diagnosed object with the help of intermediate substance.
This paper deals with the accuracy of gas flow temperature measurement in natural gas metering systems. The effect of heat exchange between thermometer well and the pipe wall on the accuracy of gas flow temperature measurement is investigated. A mathematical model is proposed to calculate the additional systematic error of gas flow temperature measurement caused by heat exchange between thermometer well and the pipe wall. Calculation results were compared to the corresponding experimental values of this error.