On the role of two thermodynamic postulates in the phenomenological construction of continuum mechanics
https://doi.org/10.22405/2226-8383-2019-20-3-134-142
Abstract
A general integral form of representation of five postulates in continuum mechanics, possible noncontradictory axiomatics of phenomenological construction of the fourth and fifth of them (namely, the laws of change of the internal energy and entropy) as well as the role of the Fourier law or its hyperbolic generalization in definition of temperature, are discussed. It is shown that in contrast to the statistical and molecular approaches, in this case, the internal energy and entropy of an individual (liquid) volume can be completely defined by specifying its source, flow through the surface, and production. Thus two thermodynamic postulates serve as definitions. The energy conjugate pairs of quantities of different physical nature and the possibility of expanding the table of postulates are discussed.
Keywords
thermodynamics,
continuum,
postulate,
source of quantity in the volume,
flow of quantity through the surface,
production of quantity,
internal energy,
heat transfer,
entropy
Supporting agencies: The work was supported by RFBR (grants 18-29-10085mk, 19-01-00016a)
About the Author
Dmitry Vladimirovich Georgievskii
Lomonosov Moscow state University (Moscow)
Russian Federation
Russian Federation
RAN professor, Head of the theory of elasticity chair of the mechanics-mathematical department
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Review
For citations:
Georgievskii D.V. On the role of two thermodynamic postulates in the phenomenological construction of continuum mechanics. Chebyshevskii Sbornik. 2019;20(3):134-142. (In Russ.) https://doi.org/10.22405/2226-8383-2019-20-3-134-142
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