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Bulletin of the National Engineering Academy of the Republic of Kazakhstan
ISSN
2709-4693
2709-4707
2 результаты
Показано: 1 - 2 из 2
- Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Mathematical model of an ideal gas(2025-06-30); ; ; ; К. К. ЖантлеуовThe peculiarity of this article is that the model of an ideal gas is based on the principle of one molecule, one mole, unit volume and the entire gas, that is, it is proposed to determine such quantities as mass, number of molecules, energy and average velocity that characterize the gas, relative to such a sequence. The method of averaging and doubling was used as a mathematical apparatus. While the volume of gas is taken as the total number of unit volumes, the pressure of the gas is considered as the energy accumulated in unit volumes. The value “number of moles per unit volume” has been introduced, which determines the concentration of molecules and the total number of moles. The relations between the state parameters are realized on the basis of Kelvin and Joule energy measurements. The ways of determining the energy of an ideal gas according to the positions of B. Clapeyron and D. Mendeleev are shown, the role of the equation of state is determined. At the same time, a theoretical justification for changing the state of the gas using dynamic and thermal effects (approaches) was developed. The patterns of generalized changes in the gas state and the ideological significance of isoprocesses were discussed in detail. Mathematical proofs of the idea of applying the first principle of thermodynamics to an ideal gas are presented. - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Determining the rate of equivalent progression(2025-03-30); ; ; U. KurbangalievThe article has developed a unified theoretical system for determining the average velocity of a body, this value is discussed from a new perspective. In particular, the problem of determining the average velocity is expressed in the nature of replacing several uniform movements with one uniform movement or several arithmetic progressions of coordinates with one progression. Six different cases of determining the average speed are considered, a theoretical justification for each of them is developed and a quantitative analysis is carried out using exercises (examples) on them. The introductory part tells about the progressive prerequisites of smooth movement, it is proved that the average speed is the speed of coordinate change. The following sections cover several different body coordinate changes and the problems of combining them. The results of each situation under consideration are discussed and conclusions are drawn. A generalized formula for determining the average speed for each case under consideration. The mathematical justification (theoretical) of uniform and uneven motion is given by graphical and physical representation of these quantities, considering changes in mechanical quantities (coordinates, velocities, displacements) over time as linear and nonlinear functions.