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Chebyshevskii Sb., 2019, Volume 20, Issue 3, Pages 134–142 (Mi cheb803)  

On the role of two thermodynamic postulates in the phenomenological construction of continuum mechanics

D. V. Georgievskii

Lomonosov Moscow state University (Moscow)

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.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-29-10085_
19-01-00016_
The work was supported by RFBR (grants 18-29-10085mk, 19-01-00016a).


DOI: https://doi.org/10.22405/2226-8383-2018-20-3-134-142

Full text: PDF file (627 kB)

UDC: 536.2+539.3
Received: 04.10.2019
Accepted:12.11.2019

Citation: D. V. Georgievskii, “On the role of two thermodynamic postulates in the phenomenological construction of continuum mechanics”, Chebyshevskii Sb., 20:3 (2019), 134–142

Citation in format AMSBIB
\Bibitem{Geo19}
\by D.~V.~Georgievskii
\paper On the role of two thermodynamic postulates in the phenomenological construction of continuum mechanics
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 3
\pages 134--142
\mathnet{http://mi.mathnet.ru/cheb803}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-3-134-142}


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