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Проблемы машиностроения и автоматизации  / №4 2006

THERMODYNAMIC THEORY OF SINTERING: GRANULAR SYSTEMS (286,00 руб.)

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Первый авторVartanov
Страниц6
ID424165
АннотацияA thermodynamic theory of sintering of granular systems for modeling of such processes as compaction, coalescence of pores and clustering of granules is proposed. For describing a thermodynamic state, generalized coordinates, a state function, and a constitutive equation are determined. It is shown, that the second law of thermodynamics imposes restrictions on the state function and Helmgoltz’s free energy. For two models, Helmholtz’s free energy is determined and the heat equations are formulated. Further development of the theory is specified.
Vartanov, K. THERMODYNAMIC THEORY OF SINTERING: GRANULAR SYSTEMS / K. Vartanov // Проблемы машиностроения и автоматизации .— 2006 .— №4 .— С. 78-83 .— URL: https://rucont.ru/efd/424165 (дата обращения: 26.04.2024)

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K. Vartanov THERMODYNAMIC THEORY OF SINTERING: GRANULAR SYSTEMS A thermodynamic theory of sintering of granular systems for modeling of such processes as compaction, coalescence of pores and clustering of granules is proposed. <...> For describing a thermodynamic state, generalized coordinates, a state function, and a constitutive equation are determined. <...> It is shown, that the second law of thermodynamics imposes restrictions on the state function and Helmgoltz’s free energy. <...> Keywords: Granular systems, Specific surface, Porosity, Sintering, State function, Constitutive equation, Helmgoltz’s free energy. <...> A sum of surfaces of the separate granules is always bigger then an internal surface of the granular system by an amount of a sum of the contact surfaces. <...> J. Frankel established the first physical theory the internal surface of the granular system is discussed below. <...> However, this theory could be applied for modeling of other processes, connected with changing of the internal surface. <...> For a condition T<TS the melting temperature) granular systems are ture of sintering (as rule TS ≈ 0,6.TM , where TS is the tempera, where TM indifferent and only for temperature, close to TS sintering, is activated. <...> A driving force of sintering is the reducing of the surface energy; it means that the granular system aspires to minimize the surface energy. <...> A probability for realizing any configuration of the system P(E) according to Gibbs’ relation is defined by , (1) where k is Boltzman’s constant, T is the absolute temperature. <...> The same result could be received by minimizing Hemgoltz’s free energy, which is proportional to , (2) 78 Проблемы машиностроения и автоматизации, № 4 – 2006 is of sintering in the paper: “Viscous flow of crystalline bodies under action of surface tension” [2], in which the cause of sintering and its driving force were defined as a superfluity of Gibbs’ surface energy. <...> From the result, that solid materials have a similar flow to the flow of viscous liquids at high temperatures, J. Frankel stated that surface forces can cause viscous flow in crystal materials; and sintering of crystal materials can be explained by that phenomenon. <...> Frenkel’s basic relation determines sintering kinetic , (3) tensor, V <...>